dy 4x 29. dx 4x + %3D V16 - x2

Q: SVEV4 + tVE dt

A:

Q: S,(8x² – 3x² + 5x + 4)dx

A: We will evaluate the integral in the following step.

Q: 7. i and y are vectors of magnitude 1 and 2, respectively, with an angle of 120° between them. Deter...

A:

Q: The region in the first quadrant bounded by Y = -3x + 6, the x-axis and the Y-axis is rotated around...

A:

Q: What is the amplitude of y= 4 sin 3x? 1 4

A: We can find the amplitude as below

Q: (c) y = e* sin 7x + In(cos(x)) (d) y= xarcsin x+ V1-x²

A:

Q: revolutions while the wheel is going 430 feet. Find the diameter of the wheel to the nearest whole n...

A: Given query is to find the diameter of the wheel.

Q: Express in terms of i. V- 4

A: -4=-1×4=-1×4=i×(2)=2i

Q: -2

A: To find the given limits from the given graphs.

Q: Calculate the work (in joules) required to pump all liquid out of a full tank. b Assume a = 4 m, b =...

A:

Q: 1= y - 4y (-3, 3) z = 2y – y -1.

A: Given the query is to find the area bounded by the curve.

Q: Use row operations to change the matrix to reduced form. 1 1 1 17 2 34 21

A:

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

A:

Q: 1 tX

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute  take deriva...

Q: Given the parametric equations, x = 5i and y = t - 2, eliminate the parameter. %3D 2 V = 2 25 V = y ...

A: First find value of t using x  then put that value in y

Q: 4 cos ' (sin (ax t)

A:

Q: Given f(x,y) = x?y-3xy³. Evaluate | fdy 14y -27y" , c + C O -6y3 +8y/3+ C O 6x2 – 45x + C 4 O 2x² – ...

A:

Q: x2-3 - Let f(x) x-2" a. Find the intervals on which the function is increasing and decreasing. b. Th...

A:

Q: At which of the following could a function fail to be differentiable? There may be more than one cor...

A: We have to discuss about where function is not differentiable.

Q: f(x) g(x) = 3x – 5 Зх — X + 5'

A: Solution

Q: sin x cos? x dx

A:

Q: CONSIDERING THE SYSTEM OF LINEAR EQUATIONS REPRESENTED BELOW, CHOOSE THE ALTERNATIVE THAT CONTAINS T...

A:

Q: Calculate the work W against gravity required to build a cylindrical column of height 6 m and radius...

A: Formula: Weight = mass×gravity ×hight  

Q: Direction: Find the derivative of the function. 1² + 3z + 2 z² – 3z + 2 Select one: -6 (z² – 2) (z –...

A:

Q: y' = 4x(2y-y)

A:

Q: The top of a rubber bushing designed to absorb vibrations in an automobile is the surface of revolut...

A: Given'    z = 1/2 y2 + 3     Limits: 0≤y≤3

Q: x2 dx 25 - x2

A: Here we use the trigonometric subsitution method to solve the given Integral.

Q: Find all values x= a where the function is discontinuous. For each value of x, give the limit of the...

A:

Q: dy Use implicit differentiation to find dx tan(x+y) = x + y

A: To differentiate implicitly the given function.

Q: dt x-5

A:

Q: (5) (2x – y) = 2y – x | dx (6) (02 + 1) cosr dr + 20 sinr de = 0 %3D

A:

Q: 1+1

A: We will need to find the sum of these two numbers.

Q: (2x+3) 8. S- (x2 +x+2)2

A: Let's find. 

Q: S sin x e cosxdx

A: The objective of the question is evaluate the given indefinite integral using substitution method.

Q: Find the instantaneous rate of change for the function at the given value. f(x) =x + 4x at x= - 4 Th...

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,...

Q: 4. (x+ 2y-1)dx-(2x+y-5) dy =o

A: According to question,Given differential equation,x+2y-1dx-2x+y-5dy = 0

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 5-...

A: Find your answer below 

Q: Expand the logarithmic expression log, Show your work and attach (c + 1)3

A: let x = logbbbc+13we know that logaan = nlogaa = nlogab = loga-log(b)

Q: The temperature of a metal ingot is 60°C above room temperature right now. Twenty minutes ago, 75°C ...

A: This question is based on Newton's law of cooling.

Q: 2.

A:

Q: S(s – 3)(2s + 9)ds

A: Evaluate the integral 

Q: By considering, but not calculating, the slope of the tangent line, give the derivative of the follo...

A: We can find the derivative as below

Q: Solve the differential equation. dy 10x 16 - y, -4<y<4 dx %3D - The solution is (Type an equation.)

A: Topic = Differential equation

Q: Select the function that is odd. f(x) = 3sin(x) f(x) = 3sin 2(x) f(x) = 3sin(x) + 3cos(x) f(x) = 3c...

A: We can find the odd function as below

Q: Sketch the region of integration and change the order of integration. -25 * " f(r, y)dydx S S f (x, ...

A:

Q: Evaluate the following. Show solution using the basic formulas. 1. S(3x² – 8x + 7)dx

A: Let I=∫ 3x2-8x+7dxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫ 3x2dx-∫ 8xdx+∫ 7dxTake the constant o...

Q: 3. A pair of lines in R3 are given. Determine whether they are parallel, intersecting or skew. If th...

A: NOTE: Refresh your page if you can't see any equations. . lines are parallel if 

Q: Find the average of the function h (x) == 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: Given query is to find the average value of the function for the interval [-2,3]

Q: 1 2х + 5

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute  take deriva...

Q: Given the equation below. Give what is being asked. 3 3 sin -xcos, xdx a sin ucos udu 8 xpx, Find: a...

A: According to question,Given definite integral,∫04π3 sin638x cos638x dx = αβ∫0γδπ sin6u cos6u du