16 D16) *16. Let f(x) = 5x¹ and g(x) = e² + z. If h is the function defined by h(x) = f(g(z)), which of the followinggives a correct expression for h'(a)?(A) 20(g(x)) =20(e² + x)³(B) 20(g(x))³ = 20 (2e²* + 1)³(C) 20(g(z))³-g'(x) = 20 (e²z+2)³ (2e²+1)(D) 5(g(x)) = 5(2e²z+1)*O OAB17) *OOC17.ABD3 pointsJa² +2² for z <3a(z+3)for z 233 pointsf(x)=Let f be the function defined above, where a is a constant. For what values of a, if any, is f continuous at z = 3?(A) 0 only(B) 3 only(C)0 and 3(D) There is no such a

Answered: Image /qna-images/answer/1f666532-8e19-476d-b545-28a78de051d1.jpg

Let f(z) = 52¹ and g(z) = e² + z. If h is the function defined by h(z) = f(g(z)), which of the following gives a correct expression for h'(z)? (A) 20(g(z)) = 20 (e²z+z)³ (B) 20(g(z))³= 20 (2e²+1)³ (C) 20(g(z))³-g'(z) = 20 (e²z+z)³ (2e²+1) (D) 5(g(z)) = 5(2e²+1)*

Let f(z) = 52¹ and g(z) = e² + z. If h is the function defined by h(z) = f(g(z)), which of the following gives a correct expression for h'(z)? (A) 20(g(z)) = 20 (e²z+z)³ (B) 20(g(z))³= 20 (2e²+1)³ (C) 20(g(z))³-g'(z) = 20 (e²z+z)³ (2e²+1) (D) 5(g(z)) = 5(2e²+1)*

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...

See similar textbooks

Related questions

Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

Q: Show all necessary solutions and box all final answers. 1. Given: f(x) = tan¹ (2x) x sin(3x4 + 8x³)'…

A: Removable discontinuity means when two-sided limit exists and are equal but the value of the…

Q: K The table shows the number, expressed in millions, of citizens who moved in 2004, categorized by…

A: Given- The table shows the number, expressed in millions, of citizens who moved in 2004, categorized…

Q: 3. The vertical force with magnitude 75 lb acts downward at A on the two-member frame shown in the…

Q: The plane curve y elf for - < t < can be parametrized as r(t) = (t. e, 0). Find the curvature x(t)…

A: Given that y=e8t r(t)=(t,e8t,0) The curvature is k(t)=y''1+y'23/2

Q: 49-60. Evaluate each limit. 56. lim 0→0 1 2+sin 0 sin 60. lim I⇒e² 11123 2 ln²x − 5 ln x + 6 - In x…

A: As Per Bartleby Answering Guidelines We Solve Only First One Problem Solution - 56 : Given that the…

Q: 9. The number of Internet users in a country for various years are shown in the table below. Let n…

A: Given: The number of internet users in a country for various are shown in the table. Year Number…

Q: An ambitious Texas A&M student is training to become a competitive weightlifter in addition. being a…

A: With the help of linear programming problem we find values x,y and z denotes the program 1,2 and 3…

Q: Given a 4x4 matrix as follows: Row 1 (1,4,3,-6); Row 2 (4,-21,43,64); Row 3 (7,2,10,1), Row 4…

A: From the given matrix we have to find the value of (a34, a43, a31, a12) of its adjoin.

Q: Let f: X → Y and g : Y → Z be arbitrary maps of sets (a) Show that if f and g are injective then so…

Q: A hyperbola has vertices (-5,-1) and (3,-1) and foci (-6,-1) and (4,-1) Sketch the hyperbola a) b)…

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Here we have to find the derivative of y where y=3x5-3x4+7x3-5x2+x-8 .

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: We have given that y=2(x3-2x+5)4 We have to calculate dydxWe will use chain…

Q: sin √ dx, n=6

A: As per our company guideline we are supposed to answer only first qs, kindly post remaining qs in…

Q: Express the volume of the solid inside the sphere x² + y² + z² = 16 and outside the cylinder x² + y²…

A: Given: The equation of sphere is x2+y2+z2=16 and the cylinder is x2+y2=4. To find: The volume of the…

Q: Theorem 1.3. Given integers a and b with a + b > 0, there exist integers x and y such that gcd(a, b)…

Q: 2. (yexy - 2y³)dx + (xexy - 6xy² - 2y)dy = 0; when y(0) = 2

A: Let us consider the differential equation Mdx+Ndy=0. Then the equation is exact if ∂M∂y=∂N∂x. Then…

Q: 1-11. Perform the subtraction with the following decimal numbers using, (1) 10's complement and (2)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: 2. A stone is thrown vertically upward with an initial velocity of 80-from the top of a building.…

Q: 2. Prove the following proposition by induction. Proposition. For any natural number n with n 23, we…

A: Explanation of the answer is as follows

Q: Function f(x, y) = 5x² + √√y. What is the set of (x, y) E R² for which fis differentiable. (Note:…

Q: d) If a b and cld, then (ac)| (bd). e) If a b and cld, then (a + c)(b + d).

Q: (a) Let X and Y be Banach spaces, T: X→ Y be a bounded linear map. Show that (i) and (ii) are…

Q: 39, 24, 9,. 21 8. You are playing a game using the spinner shown. You start with a score of 0 and…

Q: A cricket produces 110 chirps per minute at 71 degrees Fahrenheit and 180 chirps per minute at 84…

A: Here given that A cricket produces 110 chirps per minute at 71 degrees Fahrenheit. (x1,y1)=(110, 71)…

Q: uestion 3 Let P(t) be a deer population (in thousands) of an ecological region t years after 2000. A…

Q: A Zumba instructor charges according to the number of participants. If there are 15 participants or…

A: We have a Zumba instructor who charges according to the number of participants. For 15 participants…

Q: Advanced Math Solve the ordinary differential equation by using factor integration! (yex + x²y)dx +…

Q: 1.18 You are working as a crime scene investigator and must predict the temperature of a homicide…

A: Note: Since you have posted multiple questions, we will solve first question (a) for you. Kindly…

Q: 1.2.2 123 1975

Q: . Given g(x): = (lx) 5 x3 ,-2 ≤ x 0 a) Find g(-1) b) Sketch the graph of g. Hence, find the domain…

Q: Are the functions v(x) = x + 3 - and b(x) = - x-2 Blank 1 Add your answer 2x + 3 Blank 1 Add your…

Q: Approximate the solution z = [0,1] to tan (√x² + 1) dx = 2.

A: As per norms, we will be answering the first question. If you need an answer to others, then kindly…

Q: a) 3log2 16 b) log, 2+log, 6-log, 4

Q: How many 16-digit binary strings contain exactly seven I's? (Examples of such 0111000011110000 and…

Q: What is the homogeneity and degree of the following differential equation? (x + y + 1) dx + (2x +…

Q: g(x) = Og(x) = O g(x) = Og(x)=√x+1 √2-1 1 ₂ VI √x+1 T+1-1

A: A graph of the function fx=x is given. Also, the graph of g(x) is given. To find: The algebraic…

Q: 6. Compute fe-x² dx. (Hint: This is a function that cannot be integrated by formula. So use the…

Q: Use orthogonal projection to find the distance between the { [ ] PER} (14, 21, 35); 1=

A: Given point 14, 21, 35 and line l=r1086: r∈ℝ We have to find distance between them using orthogonal…

Q: x, y, z)=x²√√x - y² - z²

Q: Determine if the following functions are of exponential order (show solution) 1. t^3 sin2t 2. 1000…

A: Given: The below functions: (1) t3sin2t (2) 1000e2020t (3) sinh(t2)2 To determine: The exponential…

Q: Given a 4x4 matrix as follows: Row 1 (1,4,3,-6); Row 2 (4,-21,43,64); Row 3 (7,2,10,1), Row 4…

A: Let us consider a matrix A=[aij] Then the cofactor matrix is obtained by Cij=(-1)i+jMinor of aij…

Q: 3. function Write f(x)=sin(2x)| for 0≤ x ≤ π as a without the use of the absolute value signs.

Q: Question 3 If f(x) = 2 A B) 4 C 0 D X 2 if x< 1 -x+a if x 21 -2 solve for a if f(-2) = f(4).

Q: A group of UST-SHS students plans to sell cupcakes to raise funds for the victims of calamities. A…

A: We have to write a piecewise function Px that best describes the price P for the given number of…

Q: 16, 15, 14, 13. … Analyzing the beginning presented above, we can say that the number 11 is in the…

Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

Q: Given a 4x4 matrix as follows: Row 1 (1,4,3,-6); Row 2 (4,-21,43,64); Row 3 (7,2,10,1), Row 4…

A: Let A=a11a12a13a14a21a22a23a24a31a32a33a34a41a42a43a44 be a 4×4 matrix, then the determinant using…

Q: (a) Of the 7 new programmers hired by a software company, 4 will work on web applications, 2 will…

A: It is given that, 7 new programmers hired by a software company out of which, 4 will work on web…

Q: Describe and compare the solution sets of x₁ + 2x₂ - 5x3 = 0 and x₁ + 2x₂ - 5x3 = -3. Describe the…

Question

D
16) *
16. Let f(x) = 5x¹ and g(x) = e² + z. If h is the function defined by h(x) = f(g(z)), which of the following
gives a correct expression for h'(a)?
(A) 20(g(x)) =
20(e² + x)³
(B) 20(g(x))³ = 20 (2e²* + 1)³
(C) 20(g(z))³-g'(x) = 20 (e²z+2)³ (2e²+1)
(D) 5(g(x)) = 5(2e²z+1)*
O O
A
B
17) *
OO
C
17.
A
B
D
3 points
Ja² +2² for z <3
a(z+3)
for z 23
3 points
f(x)=
Let f be the function defined above, where a is a constant. For what values of a, if any, is f continuous at z = 3?
(A) 0 only
(B) 3 only
(C)
0 and 3
(D) There is no such a

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here