DO NOT include spaces in between characters. * Given F(x)= f(x)g(x) and f(2) = -3, f'(2) = 4, g(2) = 1, g'(2) = –5 , find F'(2). %3D

Q: Evaluate the integral. 16 In(y) dy Vy

A:

Q: 4. A certain travel agency offered a tour that will cost each person 1,500 pesos if the participants...

A:

Q: Find the total area enclosed between y = x and y = x over the interval [-1, 8]. NOTE: Enter the exac...

A: This question is based on application of integration.

Q: The ordinary differential equation x -y = x is a separable equation dy dx O False O True

A: Given query is to find that differential equation is separable or not.

Q: A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 t...

A: The given problem is solved below in detail.

Q: 2η +2 (a) (-1)"+1. Vn3 + n2 + n n=1

A: This is a problem related to series and sum calculation. Based on the available method we will calcu...

Q: Plane area of rectangle

A:

Q: Obtain the Laplace transform of the given functions. Simplify answers, whenever possible. Show compl...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: C. Based your answers on the figure at the right. 1. [- 5, - 3] 2. (- 2, 0] 4. 3. [- 3, - 1] 3. 4. [...

A: Find your answer below 

Q: for power substitution method, next step is * 2+E dz 6 – 5(u²)2 + u² , -(2udu) 4 – u² r6 – 5u² + u² ...

A:

Q: Consider the parallelepiped with adjacent edges u = 9i + 7j + k v = i +j+ 6k w = i+ 9j + 4k Find the...

A: We can find the volume as below

Q: ftan (x}sec"(x)dx Scot (x)csc°(x)dx Ssin (x)cos°(x)dx

A:

Q: 3. If the sum of two numbers is C, find the minimum value of the sum of their squares.

A:

Q: find the average rate of change of the function over the given interval y= 3/x-2 , [4,7]

A:

Q: Find the centroid of the given region. [Give exact answer in fraction form.) y-2- y=x The centroid i...

A:

Q: Using the method of substitution, b. I : x2 /9x + 7 dx f(u) du %3| a where u = du dx a = and f(u) = ...

A:

Q: https://www.webassign.net/cgi-perl/symimage.cgi?expr=n%20%3D%20f%28t%29%20%3D%20a%2F%281%2Bbe%5E%28-...

A:

Q: Find dy/dx by implicit differentiation. x3 + y6 = 60 dy/dx

A:

Q: 1. [a4 In xdx

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 23 Estimate I = (3x + 6x2)dx using midpoints and n 3 subintervals. %3D

A:

Q: find the approyimate Valueof 10/2

A:

Q: If f(x) = 8 cot 1x + 4, then find the value of f'(-3) is -8 10 8 10 3 10 4 10

A:

Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

A: Given

Q: Prove or disprove : [-x]=-[x] for any real number x

A: Suppose, [[-x]]=-[[x]] is true for all the real numbers x. Here, [[x]] is the greatest integer funct...

Q: Find the value of this Multiple Integral. ,(x² + 3xy²) dx dy

A: Here we have to evaluate I=∫02∫0yx2+3xy2dxdy

Q: Problem 28: The parametric equation of a curve is given as x = 4t – 3, y = 16t2 – 9. Compute the len...

A:

Q: The sum of the entries in row 10 of Pascal's Triangle is: O 211 O 102 210 10 acer

A:

Q: Determine the total work, by Green's theorem, performed by the force F(x, y) = field, on a particle ...

A: Given

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate su...

A:

Q: The solution of the exact differential equation (3x² + 4xy)dx + (2x² + 2y)dy = 0 is: None of the abo...

A:

Q: The derivative of the function y = e* In(cos x) is: y' = e*(In(cos x) – tan x) y' = e*(In(sec x) + t...

A: To find the derivative of the following function.y=ex lncos x

Q: dx 5. HalfAnge Substuion 3+5csx

A: Consider I=∫dx3+5 cos xwe use the formula cos x =1-tan2x21+tan2x2

Q: 2. Express in indicated derivative in terms of the function F(r). Assume that F is differentiable. D...

A:

Q: g) The integral S tan(vx) dx x cos2 (Vx)

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

Q: cos x 2. Evaluate lim X0 x cos x lim *+0+ x X cos x lim X0" x f(x) f(x) -1 1 -0.5 0.5 -0.1 0.1 -0.00...

A: The objective is to solve the above question. 

Q: With the given equation y = x² + 1 Find the instantaneous rate of change of y with respect to x when...

A:

Q: 8a-4 Identify all the points of discontinuity of the function f (x) = [f(x)=(8x- (4x3-) 4)/(4x3-x)]....

A:

Q: 5. [e2y sec ey tan eY dy

A:

Q: 1. * S(2 cot?0 – 3 tan²e) de A 2 cot O – 3 tan O + 3 O + C C - 2 cot O – 3 tan O + 3 O + C B 2 cot e...

A:

Q: 3r-4x+1 if x + 1 3. Given the graph of the function f(x) = complete the table. エー1 if x = 1' Differe...

A:

Q: 1. Evaluate the integral |// cos (-) dV, where G is the solid defined by the G inequalities <y< , y ...

A:

Q: 3. Use the following table of values to draw the graph of cos x to determine the lim cos x. X f(x) x...

A:

Q: Find the global minimum of the function f (x) = 1+x² on the interval [1, 10] . Write DNE is there is...

A:

Q: The values of C, and C, so that y(x) = C, e3x + C, e-3x satisfies the %3D following conditions: y(0)...

A:

Q: Determine if the integral is convergent or divergent. Evaluate the integral if it is convergent. Sup...

A: To solve the following integral

Q: Participation Activity #8 This is similar to Try It #3 in the OpenStax text. Find the exact value of...

A: see below the answer and figure

Q: Find the linearization L(x) of f(x) at x = a. 3 6) f(x) = x, a = 8 %3D

A:

Q: 2. Find when f(x) = x²e* has a horizontal tangent.

A:

Q: Evaluate the integral, if it exists: lim sinx dx r→+z -r

A:

Q: By completing the square, dx the integral f equals: 2x2+8x+10 tan¬1(x + 2) + C tan-1(x – 2) + C | th...

A: