Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=e, y 0, x- -2, x- 2, about the x-axis Skatch the region.

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

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Q: Find the value of k so that the value of f (2y- 1) dy is 10. 1 4

A: We have to find the value of k. 

Q: To evaluate 3cos x=1 dr. the integrand can be transformed to 1-sin2x A.) S(3cos³x + csc?x)dx B.) 3 c...

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Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, ...

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Q: A central angle ? in a circle of radius 6 m is subtended by an arc of length 7 m. Find the measure o...

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Q: C 1000 A В

A: We know that sum of angles of triangle  <A+<B+<C=180°  <A+27°+94°=180°  <A+121°=180° ...

Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 8 In(c)

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Q: Written Work Directions: Please write your solution on the space provided and boxed your final answe...

A: limit

Q: 5) ( 3 tan x – 4 cos? x dx cos x

A: To evaluate the given integral.∫3 tan x-4 cos2 xcos x dx  

Q: 20. Find the equation of the curve for which y" = x, and which through the point (1, 2) and the tang...

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Q: t Complete the table of values to evaluate lim t0 sin t f(t) f(t) -1 1 -.5 0.5 -3 0.3 --1 0.01 -.001...

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Q: (a) Calculate the first-order differential equation below using transformation y = xv. dy +3у %3D 2х...

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Q: Function Type Differential Operator ... AxN + BxN-1 + . + C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx...

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Q: 1 Find the derivative of 24 – 3x² +5 글(21-3교2 + 5)글 (4z3 - 6z) 글 (21-3교2 + 5)굴 This function is not ...

A: We can take logarithmic to solve it easily.

Q: Q2 Second-order non-homogeneous ordinary differential equation given as; y" + 3y' –10y = e2* Calcula...

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Q: Test the series below for convergence using the ratio test. n+ 2 24n +1 n=1 The limit of the ratio t...

A: Given: ∑n=1∞ n+224n+1where f(n)= n+224n+1Ratio test : l=limn→∞ an+1anif l<1 then the series is co...

Q: Determine if the given functions f(x) are continuous or not at the given value of x. Show your compl...

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Q: 4. Find the value of k so that the value of f,"(2y – 1) dy is 10. а. 1 b. 2 с. 3 d. 4

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Q: Given a function f (x) whose graph is shown below. 3 2 h -3 2 -11 2 3 -2- Determine lim f (x).

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Q: 47. For the equation: y= Vx? + 20x dy ay using the chain rule dx a. Find а. b. Find the slope of the...

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Q: B In Problems 17-34, use implicit differentiation to find y' and evaluate y' at the indicated point....

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Q: Use the graph to find the limit (if it exists). Sx + 3, x + -1.5 lim f(x), where f(x) = { -3 ,x = -1...

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Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

A: A particle has acceleration s''(t)=5t+3Initial velocity is s'(0)=-4 cmsecinitial displacement is s(0...

Q: Complete the table to 5 decimal places and use the result to estimate the given limit to 4 decimal p...

A: topic - limits

Q: -x, x±1 f(x) = 0, x= 1

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Q: Evaluate (in the picture)  Then, write the coefficients of the integrals: Blank 1 cos3t + Blank 2 c...

A: Given that: ∫(sint.cos2t)dt

Q: 2 2 -x+2x- 2, x>0

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Q: 31, 32, 33, and 34 Use the Squeeze Theorem to find the limit. 31. lim xy sin (æ, y)→(0, 0) x2 + y²

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Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6, i...

A: Hair we are given that the function is continuous at every point. we use the concept of limit for fi...

Q: An isosceles triangle has an area of 22 cm2, and the angle between the two equal sides is 5?/6. Find...

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Q: Evaluate the difference quotient for the given function. Simplify your answer. f(a + h) – f(a) f(x) ...

A: We have to use the given formula to calculate the difference quotient

Q: Find the slope of the normal line y^2=1-x^2 at point (2,1)

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Q: A balloon leaves the ground 30 m from an observer. If it rises at the rate of 2 m/s, how fast is it ...

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Q: - 5(x – 9)(x + 8). Which of the following are true? Select all that apply. b. Suppose f(x) = - OAs x...

A: b) f(x)=-5x-9x+8c) f(x)=6500-x3

Q: x* + x³ + x² – x + 1 x(x² + 1)²

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Q: 30A ball is thrown straight up into the air off the top of a building so that is height in feet afte...

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Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Let's find. 

Q: dy (x + 1)+ (x + 2)y = 0 dx

A: Follow the procedure given below.

Q: For the function f(x,y) = 3x2 + 7y2, find the following. f(x +h,y) – f(x,y) а.

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Q: Determine the equation of the curve whose tangent line at any point (x,y) is e* – sin x and passes t...

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Q: A cable is to be run from a power plant on one side of a river 900 meters wide to a factory on the o...

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Q: Given the differential equation y"' + 7y" + 6y' = 10x sin(4x) Find the Differential Operator for the...

A: Topic = Differential equation

Q: Match each property (a)-(d) with one or more graphs (I)-(IV) of functions. 4. (II) 4. 4 (I) 4. (IV) ...

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Q: 13

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Q: The slope of a curve is given as (2x + b and has a value of at 16 2x3 x = 2. What is the value of y ...

A: Given slope of curve dydx=2x+b+12x3

Q: (2xy-tany)dx + (x² – xsec*y)dy = 0; y(1) = *

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Q: Given the first-order differential equation as below: (x² +3y +5)dx + (6xy + 6y +3)dy = 0 (ii) Calcu...

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Q: Find the domain of the function. (Enter your answer using interval notation.) 3x3 - 2 f(x) = x2 + 3x...

A: Let's find. 

Q: 7. Find the area enclosed by the x-axis and the curve y = -x² + 9. 32 s.u. а. b. 18 s.u. с. 36 s.u. ...

A: Area enclosed by the curve y=-x2+9.

Q: The following statements are true EXCEPT A. lim x →2 x²=4 B. lim  x →-2 x=-2 C. lim x →-2 x³=8 D...

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