Evaluate the indefinite integral f7 sin v cos vdv =

Q: what about part (b) please.

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Q: 2x+3 (2x² + 6x - 1)5 S 1)5 dx

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Q: Q4: (chose one only) 3-x 1- f(x) = 2 x 2 a) Find limx→2+ f(x), limx→2- f(x) andf(2). b) Dose limx-2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use the given acceleration function to find the velocity vector v(t), and position vectors r(t).…

A: Accerelation vector  a(t)= 6i +9k  v(0)=3j and r(0)=0  Find  Velocity, position vector .

Q: Rewrite the expression In 3 + 5 ln x + 6 ln(x² + 4) as a single logarithm In A. Then the function A…

A: We know the property of logarithm that  ln(a)+ln(b)= ln(ab)  ...(1)  And,  pln(x)= lnxp .....(2)…

Q: Q5: Find for the following functions: TTTTTT³ : (2) y tan³√cot(7x) : = (4) y = x sinh 2x-cosh 2x (3)…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Q4: Answer two only: 2 1 -1 (A): I A=2 -2 Find AB and AC : - 1²/2 3 11 -2 -2 and 2 -- }

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Q: 3. y = 2x² is a solution for which differential equation? 2y - y = 0 xy' - y = 0 2y'- y"=0 - y' -…

A: Given :y=2x2

Q: J 24 tan3 xdx

A: topic- indefinite integral

Q: 7. f* (x² + 8) & dx CO (³ (x-1)

A: We have to solve integral

Q: Let g(x) = = f(1) dt, where f is the function whose graph is shown below. At what value of x does…

A: Given: gx = ∫0xftdt Using Leibniz integral rule, we get g'x = ddxxfx -  ddx0f0 g'x = fx

Q: f(t) = 4e-3t - sin 4t + cos 2t

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Q: Q3: Evaluate the following integrate: (chose three only) 1. dx 1+x4 2. ex-edx ex+e-x 3. fxsec² x dx…

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Q: Find a differential equation of the following family of curves whose solution is: 1. A family of…

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Q: B. Solve one of the following inequalities. Write your answer as an interval or union of intervals.…

A: Please see the answer below.

Q: (B): Find the tangent equation to the curve y = sin²x at point x =

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Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(0) and y = r sin(0), and note that (x,…

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Q: What is the value of x if log, √x-1=2? O 82 65 O 19 0-8

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Q: 3. Find the volume of the solid formed by y = √√4sin(x) bounded by x = 0 revolved about the x axis…

A: According to the question we need to find out the volume of revolution of the curve.

Q: Q2: Solve the following f (1) 7x² +14+15 (x²+3)(x+7) dx :

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

Q: y = sin(x), y = 0, x = 0, x = Exercise (a) the volume of the solid formed by revolving the region…

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Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

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

Q: A. Find the following limits. Answer four only. x-¹-1 i. ii. iii. lim- X-1 X-1 lim 4x-x² X-4 2-√√x…

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Q: The velocity function the time interval [-3,5]. article moving along a line. Find the displacement…

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Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

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Q: 2. y(x4-y²)dx + x(x++y²)dy = 0

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Q: Evaluate the function at the given values of the independent variables. Simplify the results. g(x,…

A: We can solve this as follows:

Q: 2 x²log₂ (x) dx S

A: Please show complete solution. (Use integration by parts)

Q: If R is the region bounded by the graphs of the functions f(x) = 2 + 5 and g(x) = x + ½ interval [1,…

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Q: Find f if f"(x) = 2 + cos(x), f(0) = -1, f(π/2) = 2. f(x) =

A: Find f if f"(x)= 2+cos(x), f(0)= -1 , f(π/2)= 2

Q: Find three mutually orthogonal unit vectors in R³ besides ti, tj, and tk There are multiple ways to…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: To find v(t) ,s(t) and a(t) for the given position vector r(t).

Q: (B): If A = 2i + 3j - 4k; B = 3i-4j+ 5k and C = i + j - k, find: (iv) (3A + 4B). C (1) A.B (ii) B.C…

A: The objective of the question is determine the addition and dot product of given vectors.

Q: Use Linear Approximation to estimate the quantity 1 80.5

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Q: The curves y = 2x - x 2 and y = 3x2 - 6x are used to form the boundary of a thin plate of uniform…

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Q: f(x) = x+2-e² Use the initial estimate x1 = 0.5: *1 = 0.5 x2 = I3 = C4 = I5 = I6 = 27 = Submit…

A: To find he root of the equation using newton method

Q: (B): If A = 2i + 3j-4k; B = 3i-4j+ 5k and C = i + j-k, find: (iv) (3A + 4B). C (1) A.B (U) B.C (iii)…

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Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: Topic = Functions

Q: Evaluate the following limit. t sinj+ sin = 1+ k t -k π lim costi-5 1-x

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Q: (C): If w = tan x and x = 4²³ +t: Find?

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Q: The after price tax on your new shiny car is $25,989.60. If a 4% sales tax was charged what was the…

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Q: Which of the following statements is/are true based on the graph of the function f(x) = -2(-x-²) +…

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Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die…

A: The objective is to solve the above question.

Q: Find the general solution of the following differential equation. y" − 14y' + 40y = 0 NOTE: Use c₁…

A: Find the general solution of the following differential equation. y" — 14y' + 40y = 0

Q: Find the gradient field F = Vo for the potential function = 2x³y-4y³x.

A: We have to find out gradient

Q: f'(x) = (x+3)(12 - 1)(x - 14) Then the first relative extremum (from the left) for f(z) occurs at z…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A: Calculation of determinant is the key requirement of this problem.

Q: 7. 0 , e5) a dx

A: Please see the below picture for detailed solution.

Q: 4 (A): If A = 2 -2 Find AB and AC. 2 01 1 -1 0; 1 2 B = 2 -1 3 1 -2 -2 and 2 1 3 C = 0 1-31 6 1 2 -1…

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Q: 3): Find the tangent equation to the curve y = sin² x at point x =

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