Use a Table of Integrals to evaluate the integral. 5x sin(4x)dx

Q: c) Solve the following differential equations using the "exponential shift" defined by equation 4.1....

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Q: :. f(x) = vx – 1 at x = 5

A: Topic = Functions The given function is continuous and differentiable at x= 5.

Q: 2. lim 5*

A: Here we have to evaluate limx→05x

Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given: x=5, y=-x+1, y=0 From the given lines the bounded region is as shown below;

Q: 9. An employee borrows Php60,000 for seven months at an interest rate of 12% per year. Find the inte...

A: Principal=P=Php60,000 Rate=r=12% per year Time=t=7 months=712 years Interest=Int=P×r×t100=60000×12×7...

Q: y- 2x = 3y - 2 %3D Oz= 3yIny +1+Cy Oz= 3lny +1+ Cy Oz = 3y Iny +1+C Oz= 3y Iny + Cy

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Q: Nightclub Management You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of h...

A: Let's find. 

Q: Evaluate the following integral sec(VT) tan(V7) dx

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Q: 2. x2 – xy + y2 = 3, find y". 3. Find the equation of the tangent to the graph y = x Vx-1 at ( 5, 10...

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Q: 4. To evaluate the integral J 5x dx JOvio, which of the following formulas can be used? V9+x10 du = ...

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Q: Write the first five terms of the sequence: +oo {Vn² + 7n – n}n=1 - Determine whether the sequence c...

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Q: (2x if x1 continuous? (A) (0,1] (B) [0,1] (C) (1,2) (D) [-1,2]

A: Graph of the piecewise function÷

Q: Help

A: Please refer to the image below

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the...

A: Topic = Derivative

Q: Find the constant a, such that the function is continuous on the entire real line. f(x) = {2x2,     ...

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Q: 1. f(x)=In(tan-x)

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Q: Find the position vector v that corresponds to the vector graphed below. Note that each box in the g...

A: Given the query is find the component form of vector.

Q: 2. y = (x² – 3)²

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Q: Consider the function 3..2 f(x, y) = cos(rxy) – a°y?. = cos(Txy) – x°y°. a) Find the equation of the...

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Q: Solve the differential equation (7х — 4у + 15)dy + (2x — 5y + 12)dx — 0 when x 3D 3, у %3D 2

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Q: Solve the differential equatons (9xy-2y2) dx - ( 6x²_xy) dy =0 4.

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Q: y'- 5y = x°e* – xes*

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Q: 59. Suppose that functions f and g and their derivatives with respect to x have the following values...

A: Since you have posted multiple questions i can do first question with first three subparts as per ou...

Q: Set-up the integral to calculate the area of a region bounded by х-у-3 and y-x2 -6x+9? A dy dx x2— б...

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Q: 1. y+ /x + y = 2x at ( 2, 2)

A: Follow the procedure given below.

Q: V/2x+3) (x²+1)" 17. f(x)=-

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Q: Find the period of the graph of y = - 2 sin O 67 01 O 3T O O O O

A: Given query is to find the period of the graph.

Q: 18. If x? + 2xy = y? then y' is x+y b. 2x + 2y a. y-x d. -x C. y 19. Evaluate S(3VE+ dx a. 2x + 4 V ...

A: I am attaching image so that you understand each and every step.

Q: Consider the function f(r) 3x2 + 6x 11. f(x) has a critical point at z = A. Find the value of A: A A...

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Q: Write sin (tan-u) as an algebraic expression in terms of u.

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Q: I Solve the di fferential equations ( 2x-5y+12) dx +(7x-4y+15) dy - o 2.

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Q: 7 1. f(x) = 6 {/x? – 20 {x* + 4 find f (4) (x).

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Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions ...

A: A detailed solution is given below.

Q: Use the difference an+1 an to show that the sequence | {n – 7"} is strictly increasing or strictly d...

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Q: 10. A blind mobility aid uses the same idea as a bat's sonar to enable people who are visually impai...

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Q: Write down the equation of the line that passes through the points (5, -1, 2) and (3, 1, 1). Using v...

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Q: For the polynomial below, -2 is a zero. f(x) =x + 4x + 2x – 4 Express f (x) as a product of linear f...

A: Polynomial equation s

Q: Question Use the quotient rule to evaluate h' (a) for the given function h(x) and a. 7x h(x) = a = 2...

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Q: Solve the differential equation: dy x²y= (x + 1)(y + 1) dx

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Q: For the given p-series, identify pand determine whether the series converges. k=1 = Therefore the se...

A: p-series Test : The p-series ∑k=1∞ 1kp converges if p>1 and diverges if p≤1.

Q: f(x) = {2 – 4x, if x 2 -

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Q: A force of magnitude 5 N acts on an object. A second force of magnitude 7 N acts at 50° to the other...

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Q: Consider the following sequence: {an} = {n – n² },=-1 Use an+1 - an to show that the given sequence ...

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Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (mea...

A: we have given Q 

Q: Two forces of 4N and 5N act on an object and their corresponding force vectors have a dot product of...

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Q: Use any method to determine whether the series converge. 1 (a) Σ k8 + 11k + 1 This series 1 (b) E (1...

A: A)∑k=1∞ '1k8+11k + 1  resembles ∑k=1∞ 1k8Applying limit comparison test,limk→∞ anbn ≤1     (for seri...

Q: Solve the diff eq (xy² + x- 2y +3)dx + (x³y - 2x – 2y)dy = 0

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Q: Question 1 Consider the function (x²y² – y³ x² + y2 0, if (x, y) # (0,0) f(x, y) = if (x, y) = (0,0)...

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Q: dx (Be* a arcsin + C 4e-2x-25 ß Find : α + β +δ

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Q: Given the function: f(x, y) = y°e -5x a. Find fyy(x, y) b. Find fyyæz (0, 1)

A: a)f(x,y)=y3e-5xPartial differetiate w.r.t yfy(x,y)=3y2e-5xPartial differetiate w.r.t yfyy(x,y)=6ye-5...