Given g(x) = -10x-2 -5x-2' Provide your answer below: g'(x) = find g'(x) using the definition of a derivative.

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A: Integration is evaluated.

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A: Given Curve rθ=3ln(θ)whereπ2≤θ≤7π8

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A: Let's find area of region.

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Q: 1. Find the Inverse Laplace Transforms of the following. 3) 3s³+3s s6 3

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Q: (2) Z/(5) =........ (i) (5) (ii) 5Z (iii) {[0],[1],[2],[3],[4]}

A: We have to find out integer

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A: Given (y-cos2x)dx+cosxdy=0To find general solution:

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A: Consider the region R

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A: According to our guidelines we can answer only one question or three subparts of a question.other…

Q: I. 2.) Simplify. Write "undefined" for expressions that are undefined. 5 3 2 I(1J + -6 -6 2 0 2

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Q: show that V(x, y) = x 'f (2x+y) is the genera Solution of : du 2X x av ах 1 ду

A: First, we find ∂v/∂x and ∂v/∂y  and substitute them in the given equation, if it satisfies the…

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Q: Write down a differential equation of the form = ay + b whose ay dt all other solutions diverge from…

A: Here, the differential equation is of the form  dydt=ay+b⇒dydt=ay+ba⇒dyy+ba=a dt⇒∫dyy+ba=∫a…

Q: The value of A. -√4+C 4x B. +C √4-2 C. D. 4√4-x² 4√4-x² S ₁4- +C +C dx (4- x²)1.5

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Q: Evaluate the following * Sete e7x-³dx O e^(7x-3)/3 + C O e^(7x-3) + C - e^(7x-3)/7 + C O e^(7x-3)/7…

A: We will use substitution method to solve the integral

Q: x² 1) Let f(x) (Figure 24). Verify the following: x 1 (a) f(0) is a local max and ƒ(2) a local min.…

A: Question a,b , c are solved. Solving more than 3 sub part are against the policy of bartleby.

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: 2 убличк In'/xl alx

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A: Here we have to find the area of a region.

Q: Differentiate the function. h(t) = √√t - 7et -6 (F) h'(t) = -7e² =-- (1) t

A: The given function is: ht=t7-7et   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power…

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Q: Evaluate the following Integral using integration by parts X CSC X S - dx CSCrCOU

A: Use by parts method of integration

Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√s s4

A: A detailed solution is given below.

Q: 1. Simplify. Write "undefined" for expressions that are undefined. 1 -6 030-0 [B]- 4 + 5 -2 4.)

A: To simplify.

Q: t = b? Choose 1 answer: b Ⓒ / ° v A a © B Ⓒ a b cb a a b e20t+t6 dt e10t+t³ dt 10e10t+ 3t² dt…

A: Topic = Integration

Q: Question Using the definition of a derivative, find f'(x) given f(x) = -x³+4x² + 4x + 2. (Do not…

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Q: Prove the following using the principle of mathematical induction. For n > 1, 1 1 1 1 = + + + 54 ( –…

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Q: Q5/ Solve for x the following inequality and show their solution set (x: x2-x-300)

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Q: Solve the given initial value problem. O x³y²y³ = -18 O x³y² + xy³ = -18 Oxy² + x³ = -18 O x¹y² + y²…

A: So,it is non exact differential equation.

Q: Q5 A) Calculate the gradient of f(x, y) = √√x² + y²

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