Find f'(x). f(x)=9x²-3ex

Q: ii) xy5/2+x³/2y 12. Point (4, 1). d²y Ex 3. Calculate the second derivative for the following: dx2…

A: The given equations are

Q: Find the factors of 24

A: We need to find factor of 24.

Q: Solve 8 sin (품) = 4 for the four smallest positive solutions

A:

Q: let f(x) = x^6 (x-7)^7/(x^2+7)^9 find the derivitive

A: The objective of this question is to find the derivative of the function f(x) = (x^6 * (x-7)^7) /…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A: The base of the triangle is decreasing at a rate of ≈ 3.012 cm/min.Explanation:Step 1: Given:…

Q: The volume, V cm³, of a sphere is given by 4 V = πr³ where r is its radius. 3 It is given that the…

A: Answer: 640Explanation:

Q: A culture contains 1800 bacteria initially and doubles every 40 minutes. Assuming that the rate of…

A: The objective of this question is to find a function that models the growth of bacteria over time…

Q: dy Use implicit differentiation to find without first solving for y. dx x2 4 dy da + = 25 y² = 1

A:

Q: Let F be a smooth 2-dimensional vector field defined on an open set U inthe plane containing a point…

A: The objective of the question is to find the curl of a 2-dimensional vector field F at a point P,…

Q: Which of the following lines is perpendicular to the line (10,-6,-3)+s(1,2,-2), s ER - b.…

A: 1. Option (d) 2. Option (c) Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Use the graph of the function f shown to estimate the indicated limits and the function value.…

A:

Q: Now, we can find the revenue function by multiplying the price function by the quantity function and…

A: Revenue function can be obtained by multiplying the price function by the quantity function.

Q: F(r,s,t) = r(6s+2t²),

A: F(r,s,t)=r(6s4+2t2)Using the power ruleddxxn=nxn−1

Q: (x-5)n n=0 • 8 WI 2. Determine the interval of convergence of the power series.

A: The objective of this question is to find the interval of convergence of the given power series. The…

Q: Question 9: Using the fact that 2-1 and the identities: and cos(x)=(-1)" n=0 22n (2n)!' x2n+1…

A: Given: To Find: To show that

Q: Help this question

A: The correct unit vector pointing uphill as steeply as possible is approximately (−0.9798,−0.1952),…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 5)Option A is correct answer  6) Option D is correct answer Explanation:

Q: Use the Product Rule to find f'(1) given that f(x)=xe.

A: f(x)=x3exf′(x)=ddx(x3ex)Using the product ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: Two forces, one of 35 pounds and the other 50 pounds, act on the same object. The angle between the…

A: The objective of this question is to find the magnitude of the resultant vector of two forces acting…

Q: Find the indicated partial derivative. f(x, y) = 5xy⁹ + x³×8 fxxy = fyyy =

A: fxyy​=360y7+168x2y6fyyy​=2520xy6+336x3y5Explanation:Given the function,f(x,y)=5xy9+x3y8 Finding the…

Q: ƒ¹ ( x ) = {} (x² + x) (x² + x) * (2x + 1), determine a possible f(x). " If fi

A: The objective of the question is to find the function f(x) given its inverse function f inverse (x)…

Q: Suppose that f(x, y, z) = x²yz - xyz³ is a function of three variables. 1. Find the gradient of f(x,…

A: f(x,y,z)=x2yz−xyz3(1) Using the power ruleddxxn=nxn−1

Q: What is the maximum rate of change of f(x, y) (2,0) 2x+2y 4x²+4y2 2 0 None of the above x²+y at the…

A: at the point

Q: Draw an appropriate tree diagram, and use the multiplication principle to calculate the…

A: The objective of this question is to find the probability that it will not rain either today or…

Q: Find the derivative of the function. x+2x-2 y= x-2x+2 OA. y=. OB. y'. O c. y=. 4x-8x (x²-2x+2)² OD.…

A:

Q: (a) Let v(t) be a differentiable vector valued function of t. If v. (dv/dt) = 0 for all t, can we…

A: The objective of the question is to determine if we can say anything about the magnitude of a vector…

Q: The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = 7t+ 10…

A: Question No. Part (b):Given:The arc length function for a curve ,  where f is an increasing…

Q: John is floating on a tube in a wave tank. At t 1 second, John goes over a wave at a maximum height…

A: We need to solve the sinsoudial model problem.

Q: 9. Find the volume of the solid of revolution obtained by rotating the region in the xy-plane…

A:

Q: Equations are given whose graphs enclose a region. Find the area of the region. y = x²-2x+1; y =…

A: Answer is given below:  Explanation:Question 1:Answer:

Q: pls help

A: Summary:- using basic mathematics Vector formulaExplanation:

Q: Question 5 Let f(x)=√√4x+1. (a) Find the equation of the tangent and normal line to the graph of ƒ…

A:

Q: let F(x)=f(x^7) and G(x)=(f(x))^7  You also know that a^6=12 , f(1a)=3,  f prime of a = 11, f prime…

A: The objective of this question is to find the derivatives of the functions F(x) and G(x) at the…

Q: Given the function below f(x)=√100x³ +25 Find the equation of the tangent line to the graph of the…

A:

Q: Do not round until the final answer. Then round to the nearest hundredth as​ needed.

A: Answer:  t≈54.93Explanation:Step 1:

Q: Please review and solve problem 5 part 'a', 'b', 'c', 'd' and explain how the answer was found.…

A: 5a)Domain and Range:The domain of a function represents all possible inputs that the function can…

Q: Equations are given whose graphs enclose a region. Find the area of the region. (Give an exact…

A: The area is:A=12253​Explanation:The given curves are: f(x)=x3,g(x)=x2+6x To visualize the bounded…

Q: (a) Find the extreme values of f(x) = 2x3 + 3x2 - 12x + 1 on the interval (0, 2). (b) If f' (x) =…

A:

Q: 5. 3. The graph of f is given below. If g(x) = f(t) dt, find the following value. Use the provide…

A: I'm uploading images for all questions.Explanation:Ques 5-1Ques 5-b Ques 3 Last ques

Q: imit: 6-xy lim (x,y)-(2,2) x²+2y²

A:

Q: Given the function f(x) = 4x3 sin(x) — 1, has a solution a in the interval (0.7, 0.8) given in…

A: (a)A=41​,B=43​(b)x2​=0.7612x3​=0.7673Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Please review and solve problem 2 and explain how the answer was found. Problem will be attached to…

A: answer is attached below if you find it helpful please provide the same Explanation:

Q: Please help with this question

A: (A) 3.6 Degrees per hour  (B) 2.184 Degrees per hour Explanation:Step 1:Step 2:

Q: integral of (e^x)/((e^x-1)(e^x+2))dx

A:

Q: A company estimates that the weekly sales q of its product is related to the product's price p by…

A: a. The point elasticity of demand is b. If the price were decreased by 1%, Revenue will increase by…

Q: Suppose a baby food company has determined that its total revenue R for its food is given by  R =…

A: A production level of 35 thousand units will maximize revenue.Explanation:To find the production…

Q: Evaluate the integral using integration by parts √(x² + 2r) e³² dr

A:

Q: You are looking at a balloon that flies straight up. Your horizontal distance from the balloon is…

A: Let the height of balloon is  m and x m be the horizontal distance The figure

Q: Prove that 3 is prime.

A:

Q: Consider the following time series data Month 1 2 3 4 5 6 7 8 9 10 11 12…

A: Given below solution Explanation: