dx 3 sin e+C = Using Trigonometric Substitution 3 express the answer in terms of x. (x²+ x + 1)7

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A: Solution: As per our guidelines, we are supposed to answer only? One question ( if there are…

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Q: y(z – 2x)100 = y – xz; Xy and yz. |

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Q: 3) Convert the following polar equations to rectangular equations. 1 a) r = b. r=4 4 cos 0-3 sin 0

A: (a)r=14cosθ-3sinθSince, x=r cosθ , y=r sinθso,cosθ=xr , sinθ=yrsubstitute in the given polar…

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A: We can find the answers as below.

Q: Find the least possible cost of painting the cement block.

A: Please find the solution

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Q: 80 Σ k k=41

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Q: Rewrite the expression in terms of exponentials and simplify the results. 29) sinh (5 ln x) A) 2x B)

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A: We have to solve given vector Questions

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Q: Evaluate S. F dr where F(x, y, z) = e'i+ (xe + e²) j+ye²k and C is the line segment from (0, 2, 0)…

A: answer is in next step

Q: If f(x) = Vx+3 and g(x) find g(f(x)). Answer 8(f(x)) =

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 8 e 2x dx…

A: The given definite integral,         ∫028 e2xdx

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Q: Evaluate the function. If the value is not a rational number, round your answer to three decimal…

A: We have to evaluate the function.

Q: Given (x + 4)(x – 2) f(x) = x2 —2(х — 8) - f'(x) = x3 4(х — 12) f"(x): - x4 (a) Find the domain of…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: Finding the Slope of a Graph In Exercises 23–26, find the slope of the graph of the function at the…

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Q: 4. Find dy/dx og y = xsinx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Finding a Derivative In Exercises 31-44, find the derivative of the function. sin x 36. у %3D

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Q: x2 In solving for the antiderivative of f(x) = Fusing trigonometric substitution, Jf(x)dx is V4- x²…

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Q: 5xy = 4x²z – 3yz²; yx and y,. %3D -

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Q: 11. y= 4sech? 2x +4csch? 2x y= tan (sinhx)+ sec (cosh x) e* sinh x+e' cosh y = e' tanha 12. 13. y =…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: For the integral, / tan'x sec*x dx, if we let u = tan x, what is the re-written form of the…

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Q: Consider / sin'x cos²x dx. jf we let " =cos x , the integrand can be transformed to , O J(- 2u?- u*…

A: The given integral,    ∫sin5x cos2x dx

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A: We have to find the producers' surplus.

Q: In each of the problems, solve the given differential equation. 3. xy` = (1 - y2)1/2

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Q: e2 and x e*. Find the area below the curve f (x) = between x = %3D x In x

A: The region is bounded by the curve f(x)=1x lnx between x=e2 and x=e4

Q: (2) Problem 2: Use the provided table of values to write the table of values for the following…

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Q: Consider the following function. f(x) = x – log, x (a) Find the critical numbers of f. (Enter your…

A: The given function is: f(x)=x-log4x       =x-ln xln 4

Q: * Example: Find a harmonic Conjugate fer U= = X_ x+y2

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Q: Let f(x) = V53 - a The slope of the tangent line to the graph of f(x) at the point (4, 7) is The…

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Q: x2 +x+1 dx. Use partial fractions 2x2 +2+x³+x

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Q: 2xージ f (x) : 33 Vx2 T sin 2x + Ve2x + 2x –- In e, x # 1 1-x (1–3t)5(t³-8) g(t). t # 2 2-t

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