(2) Calculate the average value of f(t) = 2t on (a) [3, 4]. (b) [3, 3.1]. (c) [3, 3.01]. (d) [3, 3.001].

Q: M8 n- = n2 n n+n 5

A: Given:        ∑n=1∞n2-nn5+n taking n as common   =∑n=1∞nn-1nn4+1     =∑n=1∞n-1n4+1

Q: For the curve: f(x) = 3x^2- 12 : i. determine the x and y intercepts.  ii. locate the stationary…

A:

Q: Find the second derivative of the function. f(x) X X-9

A:

Q: Find and simplify the expression if f(x)=x²-2. f(3+h)-f(3) f(3+h)-f(3) =

A: Solution: f(x) = x2 - 2

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Slope, m = dy/dx

Q: For x > 0, the horizontal line y = 2 is an asymptote for the graph of the function f(x). Which of…

A:

Q: N C 0 O N RE Ⓡ O

A:

Q: Consider the following function. f(x) = √x, (9, 3) (a) Find an equation of the tangent line to the…

A:

Q: 10. Find the amplitude (a) and period (T) of the following function f(t)=2cos(720xt-6)

A:

Q: Parametrize the intersection of the surfaces x² + y² = z², 7y = z² using t = z as parameter. (Use…

A:

Q: Homework: Evaluate the following integrals: Please, expert, I do not have money and my financial…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one was not…

Q: derivative of the following: 1) y = nsin x + log(2¹nx) + x²tam 2) y = √tan x

A:

Q: dy = y2-4 dx y (6) = 2

A:

Q: In questions 1-4, assume that fis a one-to-one function. 1. (a) If f(2)= -5, then what is f-¹(-5)?…

A: According to Bartleby guidelines, we are supposed to do only one question with 3 subparts. If you…

Q: 2 Suppose that lim f(x) = -73. == to Blamk 1 D+X lim g(x) = 4, and lim h(x) x-a = . The lim x→a…

A:

Q: 3.1 Average vs Instantaneous Rate of Change (#limitscontinuity, #differentiation) Consider the…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Consider the following equations. y = x² - 9 y = -x + 3 x = 0 x = 2 Sketch and shade the region…

A: Topic = Area

Q: function

A:

Q: Find the solution set of the given equations/inequalities. Check for extraneous roots/solutions. 2x…

A: Given equation, 2x-12x-3-xx+1-2x+12x2-x-3=0

Q: 11/ f(t) = Dt²³ +E. find the in definite integral Sf (t) d +

A:

Q: Find the derivative of the following functions. x² •x + ²/12 X • x² + 2 • x-2 -2 - x3 x4 ● ● x³/2…

A:

Q: O O O f(x)= f(x)= f(x)= 8. (01.08 MC) Which of the following is continuous on the interval (-3, ∞)?…

A:

Q: Graph the function and observe where it is discontinuous. Then use the formula to explain what you…

A:

Q: By using the D-operator method, find the general solution of the following differential equation y"…

A:

Q: 1. FIND THE FIRST PARTIAL DERIVATIVES j) f(x, y, z) = y x+y+z k) f(x, y, z)=√√sin²x + sin² y + sin²…

A: This question can be solved using the concept of derivative using quotient rule and derivative of…

Q: B. The 6th term of an arithmetic progression is zero and the 16th term is forty. i. The first term…

A: Let 6th Term of A.P. =a6 Let1 6th Term of A.P. =a16 Given a6=0 ,a16=40

Q: We want to solve the system below. x 5x 5x - + 2y + Y + 10% SEP 9 To do so, you write the system as…

A: The given equations are; x+z+5u=4 5x-2y+15z+w+26u=19 5x-y+10z+24u=21.

Q: Determine whether the space curve given by r(t) = (2t², t² + 3t − 18, t − 3) intersects the x-axis,…

A:

Q: lim X118 7x - √√√4x6+x5 x − x² + 3x³

A:

Q: find the domain of the function algebraically 3. y= 3x-1/x2 -2x-3

A: Given function, y=3x-1x2-2x-3We know that The domain of a function is the set of input or argument…

Q: Consider the following. f(x) = -x² + 1 Find the x-values at which f is not continuous. Which of the…

A: Answers are correct but both point of discontinuities are non removable.

Q: 63m6 - 49m5 - 21m

A:

Q: Solve for Inverse Laplace write the solution in a clean bond paper s+2 F(s)= F(s)= F(s)= s² (s²+1)…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Solve the differential equation, such that the equation passes through the given point (x, y).…

A: This type of differential equation is known as a separable differential equation with intial…

Q: (b) f(x) = LC 1 6x +5

A:

Q: Calculate [6x√ 6x√x + 3 dx

A:

Q: Use the properties of logarithms to write the expression as a sum, difference, or product of simpler…

A:

Q: Forms used: y-y1=m(x-x1) M= y2-y1/x2-x1 Y=mx+b I was supposed to write an equation for these…

A: There is a little calculation mistake. The whole solution has been given here. Assuming the question…

Q: For the differential equation given below, variable. d²q dq 1 L²+²+4=E +R dt d₁2 C is the…

A:

Q: Why? As X approaches -1 from the right, the limit WOULD be 1.

A: As we know that a function has limit at x=a if both left and right hand limit equal.

Q: Im not understanding how we know the expression of the lines and where they originate

A:

Q: 3 X-8 X-2

A:

Q: In a particular city, taxicabs charge passengers $3.30 for entering a cab and then $0.40 for each…

A:

Q: Find the area bounded between y = x² and y = -(x + 2)² + 4.

A: Topic = Area

Q: 4. For each quantity below, set up an integral that will give its value, then use technology…

A:

Q: 1 ² dx 1-x

A:

Q: DETAILS LARCALC11 1.3.067. Find the limit of the trigonometric function. sin7 x lim X 0 X

A: We have to slove above questions

Q: Q. 3. (n) Find the directional derivativo of the function f(x, y) = y. at the point (2,-1) in the…

A: Concept: Directional derivative: The directional derivative is the rate at which any function…

Q: Use the binomial series to find the Maclaurin series for the function. (Use f(x) = 1 √1-x8 00 f(x) =…

A:

Q: Consider the function y=3x1/2 - 3x1/2 - 4x -1/2  ,x>0  find a)  dy/dx, b) ∫ydx…

A: