(-4x-12) dx For f (x+10)3(x-4)3 F(x) – 1. What is F(3)?

Q: #1 only

A: Topic:- differential equations

Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

Q: 8. . cos*xsinºx dx.

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Q: 2:(y –x² }tx+ dy =0 1.

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Q: 23) Find the limit for the following function by using L'Hopital's Rule: x². e* lim x→0 tan² x

A: limx→0x2extan2x

Q: How much work is required to lift a 900-kg satellite to an altitude of 3· 106 m above the surface of...

A: This question can be solved using the concept of change of gravitational potential energy.

Q: Evaluate the integral. 7 sin-x dx +C NOTE: Enter the exact answer in expanded form.

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Q: solve question 32 with complete explanation asap

A: Topic:- complex number

Q: Evaluate the integral. 5 x2 e dx +C

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Q: Find the domain of the function H(x) = 2x +3/x3-4x Solve the following (i) |10 - 3x | 13.

A: The given function,  H(x)=2x+3x3-4x Note:    Multiple questions are given, we are answer only one qu...

Q: 5 In(x); xo = 1

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Q: sin S S. cossx (3-2secs)

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Q: Solve the given differential equation by separation of variables. (e + 1)?e-Y dx + (e* + 1)Se-* dy =...

A: Given:- (ey +1)2 e-y dx +(ex +1)5 e-x dy=0 To find :- General equation of given differential equatio...

Q: Express the repeating decimal as a fraction. 0.451141 41 41.

A: Given data

Q: This integral represents the volume of a solid. Describe the solid. [(4 + cos(x))2 - 42] dx The inte...

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Q: 2. Given: a, = 5, a4 = 14 Find: az =? а. 7 b. 8 с. 10 d. 12

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Q: Write the first five terms of the sequence: 11 ln 7n) +00 In n n Determine whether the sequence conv...

A: Given: ∑n=1∞11ln nn

Q: y- 12e, y- , x-0, x-1 Sketch the region and a typical shell. Rotating a vertical strip around the y-...

A: Given:-the region bounded byy=12e-x2, y=0,  x=0 and x=1rotating about the  y-axisusing cylindrical s...

Q: Consider the following sequence: {an} = {n – n}, Use a+1 - a, to show that the given sequence {a, } ...

A:

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate (in cm²/s) is the area of the ...

A: We know that the area of the square is: A=b2 Where; b is the side of the square.   The Power law: d...

Q: Which of the following expressions are equivalent to cos(20) .? tan(0) Choose all answers that are c...

A: cos(2θ)tan θ =cos2θ - sin2θsinθcosθ              = (cos2θ - sin2θ) cosθsinθ             = cos3θsin θ...

Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycotxldx=0is

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Q: Solve the given differential equation by undetermined coefficients. y"- 2y' + 2y e2*(cos(x) – 8 sin(...

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Q: 19. A rock thrown into a still pond causes a circular ripple. If the radius of the ripple is increas...

A: Given :Radius of thr ripple increasing by 2 feet per secondCircumference = 2πr

Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is Eva...

A: topic - functions

Q: Evaluate the integral x cot x² sin(in |sin x²l) dx.

A: LetI=∫ xcotx2sinlnsinx2dxSubstitute u=lnsinx2Differentiate du=1sinx2ddxsinx2du=1sinx2cos(x2)ddxx2du=...

Q: If the solution to ſe2* sec²(e2*+1)dx is equal to k tan(e2x+1) + C , find the exact value of k... 1 ...

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Q: A Complete the table. du formula answer 24x +2 (2x -1) (Ax + 2)3 d 2. 7Vx - Sx de Se 3nin2 de sin S ...

A:

Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: y = | cos* (;x) dx

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Q: Find the derivative of the function. f(z) = Vī – 8V7 f (x) 12r – 83x23

A:

Q: y = Vx – 7 ,(7,0) -

A: Solution is written in below steps.

Q: Write the first five terms of the sequence, give the exact answer: +00 In +1Sm-1 Determine whether t...

A:

Q: Solve the initial-value problem. 2хy' + у %3D бх, х> 0, у(4) %3D 16

A: Here, the given DE with the initial condition is: 2xy'+y=6x, y(4)=16

Q: fy re aris Find volume

A:

Q: S(z) = 64 –3 V/

A: f(x) =x964-x3We can rewrite the function as;f(x) = x9  164-x3f(x)=x9 (1641-x364)a=164,  r=x364   (Ge...

Q: What is the value of? df (0), dx xez²+1 ? where f(x) = 1+e-* Write your answer as an integer or as a...

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos? X

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Q: p-

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Q: An+1 to determine if the sequence An is strictly increasing or strictly decreasing. Use the ratio 5n...

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Q: +o0 а. n п+2 n=1

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Q: Find the derivative of the following function using the limit definition f(z) = 2z4 − 4z2 . Find ...

A: f''(z) derivative of the function  f(z) = 2z4 − 4z2  using the limit definition

Q: A. Describe the set of inputs, the function rule, and the set of outputs for each function. 1. The a...

A:

Q: a. 2 sec (5x²) tan(5x²) + C b. tan (5x) + c c. 10 tan (5x) + c d. none of the above 27. Evaluate csc...

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Q: 2. A diameter of a circle has endpoints A(0, 4) and B(0, -2). Find its equation in standard form.

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other...

Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y...

A: Solution is written in below steps.

Q: Consider the following sequence: - {) +00 {an} 3n n=1 An+1 -to show that the given sequence {an} is ...

A: Explained below 

Q: y = /x+ /x

A: We will use algebraic techniques to find the derivative.

Q: A set of data with a correlation coefficient of -0.15 has a a) strong negative linear correlation c)...

A: As we know It is a statistical measure of the strength of the relationship between the relative move...

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) This series can b...

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Q: 18. If x² + 2xy = y² then y' is b. 2x + 2y d. -x

A: (18). Given: x2+2xy=y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-...