S 5*-2 dx Se dx S cot? x dx

Q: S -9 sin x dx

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Q: dy 2. Find for each of the following function dx 51 x - 3x² P= cot>/ * b) у%3D (2+ 5х)sinx

A: The solution for the above question is as shown below.

Q: dy Q3) Find dx for 3(x? + y?) ² = 100xy

A: Here, the derivative dydx is obtained by implicit differentiation. Thus to find the derivative first…

Q: Find: L [ t sin h 6t ]

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Q: dy d'y Find 5, at (i) x = 0.1 (ii) x =1, using the following tabulated values: dx' dx ? 1 3 4 y 1…

A: We are going to use slope formula for evaluating derivative and double derivative.

Q: (x + y) dx dy dz =? Select one: 9. O 1 O 5 None of them

A: Topic = Integration

Q: Find the antiderivatives. 1. sin? x dx =

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find x() given r(t) =(d'.d sint,e cost)

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Q: Find dx in each of the following. dx2 x= e' cost b. y=e' sint a. y = t-1

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Q: Determine whether the following statement is true or false, and explain why.

A: According to properties of integration, if course of integral is changed with respect to limit also,…

Q: ló bé á špěčífić válué ôf l. Fi ind lò si "(t > to ) = 0.01 where df ) 2.528

A: Here it is given that - t0 be a specific value of t. P(t>t0) = 0.01 where degrees of freedom = 20

Q: Perfo Determine the antiderivatives of the following 1. S sec24x dx 2. S(tanx - 1)2²dx dx 3. S;…

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Q: Find the values of a and b that make following D. E is exact ( - 4) dx + (xyo + 1) dy = 0 x2+2

A: Remark: A differential equation of the form M(x,y) dx + N(x,y) dy = 0 is exact if and only if dM/dy…

Q: S 12 dx S(;x* + 3x² + SVx10 dx

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Q: J17 cot"x dx

A: I=∫17cot4x.dxI=17∫cot4x.dx…

Q: L e - cos 4tdt

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Q: √ay-x² So Sie So dz dy dx

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Q: T/2 dx L a+ sin? x' ļal > 1,

A: As too many questions are given, So I will solve only the first question. Consider, ∫0π2dxa2+sin2x…

Q: Determine dx, assuming x > 0. [3 points] Hint: This can be rewritten 10. as dx.

A: We can use the method of substitution in order to solve the given problem.

Q: A) Find for the following functions: dx Y = x³y? + cos-1(y)

A: Since you have asked multiple question, we will answer only first question. If you want any specific…

Q: Find the antiderivatives. 6. sin x cos x dx =

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 29. * r dx tan? r sec

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Q: Find d?y/dx2 for the following functions: a) y = sin x2 cos 2x b) y = cos*(sec² 3x) c) y = x2(x³ –…

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Q: dy dx Q5: Find for the following functions: (2) y = tan³√√cot(7x);

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Q: Given the function y=sinxcoshx. Find d3y.

A: We find dy/dx using the product rule

Q: dy for the given value of x. dx In each of the following, find the value of x? +x-1 y = y = (3 –…

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Q: 2 lnt and y: where 1<t<3.

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Q: Calculate the following antiderivatives: Don't forget the constants. (a) dx = (b) (-5 sin x + 8 cos…

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Q: Q:: Find for the following functions: - dx ( 12 degrees) 1) y = (x – 3)(2.x +x²) 2) /x.y + 3 = y? 3)…

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Q: Do as indicated. Show complete solution. (2x + 1) (x + 4) (x – 3) dx (antiderivative) (x – 2)°(x +…

A: Given:∫2x+1x+4x-3x-23x+33dx…

Q: find the following antiderivative: 2x^2(-x^3+3)^5 dx

A: Consider the given expression is, ∫2x2-x3+35dx Then, -x3+3=u3x2dx=dux2dx=-du3

Q: 1. sin° 0 d0 =

A: First do some simplification than use substitution method to solve this.

Q: Given x = 32t + 1 and y = 160t? + 116 dx (i) dt dy (ii) dt dy (ii) dx || ||

A: x=32t+1 and y=160t2+116, then we have to find i. dxdtii. dydtiii. dydx

Q: Calculate T, and M, for f dx. (Use decimal notation. Give your answers to five decimal places.)

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Q: Q /Find the next integral: E S /2m(E – æ)dx 2m(E – ºx)dx Vo a

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Q: cos(z)ln (1 + æ²) + x3.7 dx. 3 Evaluate 3 1 + e1.87x – 66.1 answer = Question Help: D Video

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Q: dy Q:: Find for the following functions: - dx 1- y = 2cot? `x+1

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Q: For what value of c does dx = 1? J10 x4

A: To find the value of c that satisfy the given integral.

Q: Find F(s). L[t(e + e)?) F(s) = %3D

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Q: Sf(x)dx = 5.m L,(4f (x) + 2)dx. Given find

A: by integration

Q: Find for the indicated function y. dx y=15* + e7 (Type an exact answer.) dy dx

A: y=15x+e7Differentiate w.r.t x

Q: Find dy /dx for the following function: y? = (csc x)sinx

A: Given: The function y2=cscxsinx, To find: dydxof the given function.

Q: Q: Find2 for the following functions: - dx 1) y = 2) xy+3 = y? 3) y = cos(x). tan(x)

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Q: Find dy/dx for the given value of x y = In(x² – 8) ; x=4 A. 1 В. 2 C. 0 D. 3 Е. 4

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Q: Calculate T, and M6 for º 2 dx. (Use decimal notation. Give your answers to five decimal places.)

A: The value of T6 can be calculated by the trapezoidal rule but for that the values of fx are needed:…

Q: Q: Find for the following functions: - dx 1) y = Va + 87 – 2x 2) 5x²y5 – 3x = x* + 3y? %3D 3) y = x.…

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