Use the integral convergence or Check all the conditions. 80 10 112 test to or divergence of the

Q: Given the function f(x)=x-7, find the net signed area between f(x) and the x-axis over the interval…

A: Given that the function y=x-7 we have to find the area of the region [-1,9]

Q: The equation of a hyperbola is 64 a) Find the center, vertices, transverse axis, and asymptotes of…

A:

Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph…

A: The objective of this question is to understand the graphing strategy for the function f(x)= 5x^3 -…

Q: Suppose a dog jumps in the air and that its height (in feet) above the ground is given by h=-16t²…

A:

Q: 2x² + 5x = x + 4y

A: 2x2+5x=x+4y

Q: Which of the functions shown below is differentiable at x = -3? Select the correct answer below:

A:

Q: Find an antiderivative of the function p(t) = t³ - 2 I t.

A: p(t)=t5−t42−t

Q: As a preparation for the long bright summer days, Dr. Acula plans to store gourmet plasma in closed…

A: We have to use the concept of derivatives

Q: The population of the world in 1987 was 5 billion and the continuous growth rate was estimated at…

A:

Q: Given the following piecewise function, evaluate lim f(x). X-6 Select the correct answer below: -68…

A:

Q: 1 Answer the following questions about the curve: 2x³ - 3y² = 16 a) Find dy/dx. b) Find d²y/dx². c)…

A:

Q: I need to find whether a series converges and if so I need to find the sum. the series is: the sum…

A: the series is: the sum from k=1 to infinity of 1/(16k2 - 4)

Q: Find the area under the given curve over the indicated interval. y = 6x² + x +4e4 ; x = 0 to x = 7

A: The given curve .The aim is to find the area under the curve in the interval .

Q: Find the indefinite integral. fett 7t dt = +C

A: I=∫e7tdt

Q: Given f'(t) = -0.2t-e-t, compute f(4)-f(1).

A:

Q: X = = 3 sin(t), y = 4 cos(t), 0 < t < 2π (a) Eliminate the parameter to find a Cartesian equation of…

A: Consider the parametric equation

Q: Use a Riemann sum to approximate the area under the graph of f(x)=x on the interval 3≤x≤5 using n =…

A:

Q: Find the area of the region R under the curve of f(x) = from x= -1 to x = 1.

A: f(x)=e(1/2)x from x=−1 to x=1

Q: 15 x² 3x 54 (Round the answer to four decimal places.) Find the area bounded by y = X- -, x = 3, x4,…

A:

Q: Let g(x) = f(t)dt, where f is the function whose graph is shown. y f 20 (a) Evaluate g(0), g(4),…

A:

Q: For f(x) = (a) fog 7 x-3 2 =, find the following composite functions and state the domain of each. X…

A:

Q: Determine from the graph whether the function has any absolute extreme values on the interval [a,…

A: To determine from the graph whether the function has any absolute extreme values on the interval .

Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A: Given,

Q: Find the indefinite integral. x¹ + 24 dx = +C

A: Let,

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

A:

Q: Find the area A of the region that is bounded between the curve f(x) = −2 sin (2) over the interval…

A: Given that the region bounded by the functions  and  over the interval

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) =…

A:

Q: A small resort is situated on an island that lies exactly 6 miles from P, the nearest point to the…

A:

Q: The linear density of a rod 8m long is 12/(sqrt X+1)kg/m, where X is measured in meters from one end…

A:

Q: 6. Suppose f f(x) dx = -5, and fg g(x) dx = 1. Evaluate the following integrals using the properties…

A: To find values of given definite integrals.

Q: Convert the rectangular coordinates of the point to polar coordinates (r,0) with r>0 and 0 ≤0<2.…

A: We need to convert rectangular corrdinates to polar coordinates.

Q: Suppose the equation 1 300 y = - 2.2 models the height of an arrow where is the horizontal distance…

A: Suppose the equation,  models the height of an arrow where x is the horizontal distance in feet…

Q: Let F = 6xyi + 8y2j be a vector field in the plane, and C the path y = 72 joining (0,0) to (1,7) In…

A:

Q: 2. Given the graph as shown, find the limits. lim f(x)= x → -2- A) B) D) E) lim f(x)= x-2 lim f(x)=…

A: The graph of the function is given.The aim is to find the

Q: 2. f(x) = = 1 1+72) [0,4], n = 4 , 1+x²¹

A: The given curve .The aim is to find the area under the curve using right-hand approximation in the…

Q: Given the graph of the function f (x) below, estimate the slope of the tangent line to the curve at…

A: The tangent line of a curve at a given point is a line that just touches the curve (function) at…

Q: Electric charge is distributed over the disk x² + y² ≤ 3 so that the charge density at (x,y) is o(x,…

A:

Q: 2) Find the derivative of the function f(x)= x arctan(2x) ——In(1+4x²).

A:

Q: . If an item has a new cost of C and an annual depreciation rate of r (as a decimal), its value, V,…

A:

Q: A particular commodity has a price-demand equation given by p=√14,061 418x, where x is the amount in…

A: The price demand equation is given by  where x is the amount in pounds of the commodity demanded

Q: A firm's marginal cost function is MC(q) = 5q¹ + 4q + 10. Find the total cost function if the fixed…

A:

Q: 2. For f(x)=√14-2x (a). find the domain. Write your answer in interval notation. (b). Graph f(x)=√14…

A:

Q: Given f'(x) = 6x + 5, compute f(4) – f(1). -

A: Explaination of the answer is as follows

Q: Find the area of the region bounded by: p2 = 72 cos 2

A:

Q: Please answer the below quaestions: If f(x)= g(x)/ x,  and g(x)= x + sinx  ( interval 0, 2π) Find…

A:

Q: Given the graph of f(x) below. Determine the average rate of change of f(x) from x = -2 to x = 2.…

A:

Q: Find the Taylor Series for f(x)=x²³+x²+x+1 about a=1

A: The given function is The Taylor series for f(x) about

Q: I had that first answer but it was wrong and I also had 2 sin theta cos theta but as my second…

A:

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

A:

Q: Describe the given set with a single equation or with a pair of equations. The plane through the…

A: