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Q: Evaluate the following. Show your complete solution (Handwritten).

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Q: 3 5 dx

A: To calculate the value of the given integral.

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A: The objective of the question is evaluate the vector with given magnitude and same direction vector.

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(6) 7, f(7) = 2, f'(7) = 13, f'(6) = 6…

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Q: 2. If f(x) and g(x) are continuous functions, then " g(x)] dx = | f(x)dx• g(x)dx. 3. If f(x) and…

A: Note :As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

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Q: Given the following velocity function of an object moving along a line, find the position function…

A: To find the position function.

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A: We have to find the general solution of differenrial equation

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A: Let's find.

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A: We need to evaluate integral.

Q: p(a)dx

A: Solution of question is written in below steps.

Q: c) L{S,T sin t dt

A: Given,          ℒ∫0tςsinςdς

Q: 4 d) En=2n-1 4n2 e) 0 En=1 n2+1 4 f) En=2 n2-n (Use partial fraction decomposition)

A: Explanation of the answer is as follows

Q: Y = 4 - x2, and 2y = 4 - x2

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Q: If you rotate the region bound by y = fx,x = h, y = 0 about the x-axis, you obtain a right- circular…

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Q: K to to Match each equation with a graph above O 2(0.72)" a. blue (B) O 2(1.2)" O 2(0.81)" O 4(1.2)"…

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Q: Consider the following. х — 2 f(x) = x2 - 4 (a) State the domain of the function. O all real numbers…

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Q: Find the equation of the tangent line at the given point on the following curve. 3 3 In (x+y)=x y" +…

A: The given equation is  ln(x+y)=x3y3+ln(x2+2)-8, (1,2).

Q: Let yu + 3v+7 =2. Complete parts (a) through (c) below. du (a) Find the derivative dv du dy

A: Note: As part (a) is only attached solved that for you.

Q: Find the derivative of the function y = In(5e – 9xe "). y = ||

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Q: Find the derivative of the function F(x) = x* sec (x). F'(x) =

A: We will find the derivative of the given function in the following step.

Q: ax+b 3. The curve y = y%3D has a local maximum at (2,1). x2+3 Determine the values of a and b.

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Q: Evaluate

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Q: Suppose that a particluar funciton f satisfies f" (x) = - (4 sin(x) + cos(x)), f(0) = 3, f'(0) = 5.…

A: f"(x) = -(4sinx +cosx) ,  f(0) = 3 , f'(0) =5 now integrate the f"(x) f'(x) =4cosx -4sinx +c now…

Q: 3 dx x²+4x+29

A: We have to find value of given Integral.

Q: If m s f(x) < M for a s x s b, where m is the absolute minimum and M is the absolute maximum of f on…

A: Given problem:-

Q: 10 Use aepropriate substitution Ond then a trigonometric oubtitution to evaleiate the integial. dx…

A: This question can be solved using the concept of integration by substitution.

Q: Evaluate the definite integral: 3 dr 3

A: We need to evaluate the following integral ∫13x3-3xdx

Q: For numbers 26-30,consider the graph at the right. 3+ -4 -3-2 -1 1 -2+ -3+ 26.What is the lim f(x)?…

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Q: If Rita receives $39.24 interest for a deposit earning 6% simple interest for 110 days, what is the…

A: This is a problem related to simple interest. Based on the general formula of simple interest we…

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Q: u さx Jx (x+6) 18Evaluate: fo

A: We need to evaluate : ∫0∞4xx+6dx

Q: -dz 4.

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Q: dy Differentiate implicitly to find dx 2x+7xy + 9y + 19y- 8 = 0 + dy %3D dx

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Q: Student Name:, Score: Press Esc to exit full screen Derivatives of Trigonometric Functions Find the…

A: Answer and explanation is given below...

Q: I cannot understand the format of your answer. Please answer in a different form that's easy to…

A: Apologies for the inconvenience. If you do not see the equations in the correct format, please try…

Q: Evaluat each Integral. For definite integrals, give exa Only, S X (2-5x)*dx dt

A: Topic:- definite integration

Q: Consider the following. u = 6i - j - k, v = -i + 4j + 3k (a) Find the projection of u onto v. (b)…

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Q: 1 4. Determine the value of b and k such that f(x) = kyx – + In (x³) + bx has Vx an inflection point…

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Q: Use properties of exponents to write the function in the form f(t) = ka', where k is a constant.…

A: Solving the problem by finding the simplest form of the given expression.