Suppose that f is a function given as f(x) = /=4x – 5. %3D Simplify the expression f(x + h). f(x + h) - f(x + h) - f(x) Simplify the difference quotient, f(x + h) – f(x) h Rationalize the numerator in the difference quotient. (If applies, simplify again.) f(# + h) - f(x) The derivative of the function at a is the limit of the difference quotient as h approaches zero. f(r +h)- f(r) f'(z) = lim h0

Q: The following initial value problem model the payoff of a loan. In the case, solve the initial value...

A: given: B'(t)=0.01B-750 B(0)=45000 the given differential equation is: B'(t)=0.01B-750dB(t)dt=0.01B-7...

Q: in T Evaluate the limit lim > sin(")- n i= | f(x)dr f (x)dx = 3.6, find f (x)dx. If 12 and 1

A:

Q: Find the arc-length from (-3,4) clockwise to (4,3) along the circle x^(2)+y^(2)=25. Show that the re...

A: Given: x2+y2=25 now, for finding arc-length from -3,4 clockwise to 4,3 along the given curve, first ...

Q: Find the Taylor polynomials p-. Ps centered at a = 0 for f(x) = 9 e

A: Answer and explanation is given below

Q: 1 | t(t + 3) dt -1

A:

Q: 15 y dy y - 3y - 40 Evaluate Choose the correct answer below. O A. 13 (In 7- In 3) +(In 20 - In 16) ...

A: the given integral is: ∫1115y dyy2-3y-40 we have to evaluate the value of the given integral.   let ...

Q: Find the derivative of the given x(3x2-9)

A:

Q: I know how to find the limit but don't know how to use the given definition of limit in this questio...

A: Given: The function f(x)=x2cos1x and limit L=0.

Q: Evaluate each definite integralusing the Fundamental Theorem of Calculus

A:

Q: Given the arithmetic sequence an with aj -7 and d :-9, find az. | Do not include "az =" in your answ...

A:

Q: Please kindly include the Sketching of Graph Thank you so much!!

A:

Q: Find the volume of the region bounded by the paraboloid z = x² + y² and the plane x + y = 1 in the f...

A:

Q: Evaluate the integral or show that it is divergent.

A: ∫dx4x2+4x+5=∫dx2x+12+4=∫dx2x+12+22=12tan-12x+122+C    ∵∫dxx2+a2=1atan-1xa+C & x-coefficient must...

Q: Please help my find part (c). Ty!

A: Shell method for volume of solid region: The volume of the solid region bounded by the curves x=fy,x...

Q: sin(3t) lim t t→0

A:

Q: Solve 1d and 2. With fully worked solutions. Thanks

A: Part (a) Given integral is ∫12xlnxdx

Q: Find the area of the parallelogram that has the given vectors u = ⟨2, −1, 0⟩,     v = ⟨−1, 2, 0⟩ as ...

A: Given vectors as adjacent sides are u=2,-1,0, v=-1,2,0.

Q: Evaluate the function at the given values of the independent variable and simplify.

A: We have to find  a. g13b. g0c. g-3 for the given function: gx=x-4   if x≥44-x  if x<4 In this que...

Q: Graph the absolute value function,f(x) = | x| . Then use transformations of this graph to graph the ...

A: the given function is f(x)=x. we have to graph the function f(x). then we have to use the transforma...

Q: Give the center and radius of the circle described by the equation x2 + (y - 2)2 = 4 and graph the e...

A: Given: x2+y-22=4 we know that center and radius of equation of circlex-a2+y-b2=r2 is given by center...

Q: Find the area of the surface given by z = f (x, y) that lies above the region R. f(x, y) = √(a2 − x2...

A: The given function is fx,y=a2-x2-y2.

Q: Some information about the function f is collected and given in the table below.   -1<x<1 1...

A: Some values are given. Steps:1. Plot these values on the graph.     

Q: Find the Taylor polynomials p, and p, centered at a = 0 for f(x) = (2 +x). -3

A:

Q: Given r(t)=<t2,t2,t3> find the tangential and normal components of acceleration.

A:

Q: Find the area enclosed between the line y 1 and the curve y = x2 – 4x + 4.

A:

Q: Find the centroid of the region bounded by the graphs y=6– x² and у %33 — 2х.

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 8x2 dx

A: Explanation of the solution is given below....

Q: (a) Find the open intervals on which the function shown in the graph is increasing and decreasing. (...

A: Given graph is:    

Q: If sec(α) < 0 and the sin(α)= 15/17 What is the exact value of cot(α)?

A: Explanation of the solution is given below..

Q: Given r(t)=<t2, et,tet> find v(t) and a(t).

A:

Q: Sketch the region bounded by the graphs of the equations f(y)=y / (√16 − y2) , g( y) = 0, y = 3 and ...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: Calculate the net outward flux of the vector field F = xy i + (sin xz + y2)j + (exy2 + x)k over the ...

A: Given surface 'S' is surrounding region D bounded by the planes y=0, z=0, z=2-y and z=1-x2

Q: Determine the intervals where the graph of the given function is concave up and concave down. f(x) =...

A: