The resulting integral of sin-cos- sin@ do has the form -F(0) +C• What should be the value of o to make F(0) =0? 2 2

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x²...

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Q: If f(x) = tan (3æ), then f'(x) = (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec (3x) (C) 12 tan (3x) (D...

A: Solved below

Q: Find the area of the region inside one leaf of the five-leaved rose r= 5 cos 50. The area of the reg...

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Q: Question 1 A stone is thrown vertically upward from the top of a house 112 feet high. If it was thro...

A: We need to find time when stone passes top on its way down.

Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9

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Q: Which of the following integrals is equal to the integral / s(3x-5) dr? A f(2) dz 7/3 B | s(2) dz 2 ...

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: We have to find maximum profit so we find first derivative

Q: d?y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1) ...

A: We will do this question by checking the conditions for the given options.

Q: A vector function is given as A = R3R cos() What is the numerical result of fy (V A)dv over the hemi...

A: Solution

Q: Suppose f(0) = – 4, f'(0) = – 2. Approximate f(0.03). - f(0.03) - (enter your answer rounded to two ...

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Q: 2. cot(8)·cos(0) · sin(8)

A: Given: cot(θ)·cos(θ)·sin(θ)

Q: find lim f (x), if it exists. 1– cos z 59. ƒ (æ) = Answer + sin z 60. ƒ (x) = e" – 1 61. ƒ (z) = %3D...

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Q: The equation 2ydx + (3y– 2x)dy = 0 has an integrating factor equal to: O y O y^(-1) O y^(-2) O y^2

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Q: (2, 2, 4). Find the line ar combination au + Bv that's as Problem 11. a) Let u = (1,2, 1) and v = cl...

A: Here W can be express as a linear combination  Of U and V.

Q: Write the comp number in standard form. (Simplify your answer completely.) 3-V-64

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Q: TT(e-1) В. 2.

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Q: dy Find dx y=4(sec x + tan x)( sec x- tan x).

A: Here, the given function is: y=4(sec x+tan x)(sec x-tan x)  =4(sec2x-tan2x)  =4(1)             (beca...

Q: 5/ 2 Vx 4. f (x) 4-3x ||

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Q: 12. Let a and b be non-negative real numbers. Provide an example of an improper integral of the form...

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Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.                                                 ...

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings me...

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Q: Let n be an integer and let a, b, x be real numbers. Evaluate | |cos(27n)|dx

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Q: Vhich of the following integrals is equal to the integral f(3x - 5) dr?

A: Use simple integration concept.

Q: Question The position of a car traveling along a highway is given by the function s(t) = - + 312+ 20...

A: Given query is to find the interval when car is slowing down.

Q: b --x"+ -x +C. n P a d The general antiderivative of (3x2 – 4) 2x² can be written as -x' m What is t...

A: Firstly we find integration

Q: et f(x) = 3x 1, 6). 3x? + 6. Find the equation of the line tangent to the graph of y = f(x) at the p...

A: Given query is to find the equation of the tangent.

Q: (x +1)' sin x (c) lim 2х X-0 sin x lim -0 5Jx (d) 20? +sin O lim (e) 40 6x-sin 2.x lim- X-0 2x +3sin...

A: We evaluate the given limits in the following.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: Find the equation of the tangent line to the curve y = 2x - x2 at (2, 0).

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Q: In Exercises 21-24, an implicitly defined function of x, y and z is given along with a point P that ...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect...

Q: Use sigma notation to write the sum. 20 Σ j- 1

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Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ ...

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Q: x-sin x f(x) = x²–1

A: f(x)=xsinxx2-1For Vertical aymptotesEquate denominator to zero⇒x2-1=0⇒(x+1)(x-1)=0⇒x=-1,1 Vertical a...

Q: 3 Determine the intervals for the following functions to be defined. Show that the functions are con...

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Q: (1) Use the divergence theorem to evaluate F-S. where F (z, y, 2) = zzi – j+4:k and S is the surface...

A: we use divergence theorem for finding the surface integral.

Q: S 12x²Vx3 + 7dx

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

Q: Let f(æ) = (4x² + 5æ + 2)° f'(x) =

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Q: Given cost and price (demand) functions C(q) = 110g + 41,000 and p(g) = - 2g + 870, how many items m...

A: This question is based on application of derivative .

Q: Find f'(x). f(x) = (5 + In x)° 6. f'(x) =D %3D

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Q: rove that the given equation is a solution to the given DE: 5. x = 2t + C; y = Ct + 3 ; 2(y')² – xy'...

A: Topic:- application of derivatives

Q: Minimize Q= 2x +3y2, where x + y = 5. ... y% = (Simplify your answer. Type an exact answer, using ra...

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Q: Using product rule to find f’(1) in f(x)=4x^4(e^x)

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Q: True or False: In the partial fraction decomposition, A D + x + 3 x + 8 В x(х — 1)(х + 3) х — 1 - we...

A: (x+8)/x(x-1)(x+3) = A/(x-1) + B/(x+3)+D/x A(x+3)(x) + B(x-1)(x) + D(x-1)(x+3) Ax2 + 3Ax + Bx2 -Bx + ...

Q: 4. y = xcoSx

A: First we take log both sides and then differentiate both sides with respect to x.

Q: lim, s0¤(t) = 1? Оа. "+а — 0, z(1) — 2. 0, г(1) — 2. ОБ. — - 0, 2 (2) — 1. Ос. - 2г — — 0. 0, æ(1) 0...

A: To determine which of the following initial value problems has a solution xt.limt→∞xt=1a x'+x=0, x1=...

Q: Which of the following integrals is equal to ( 3x – 5) dx if u=3x – 7? (A (u) du / (u+2) du B © :/ (...

A: We know by properties of definite integrals, if a-b=(p-q)/m then, ∫baf(x)dx= 1/m * ∫qpf(x)dx  

Q: sinx sinx +x The integral / COSx - e te e sinr equal to zero. Evaluate m +n+p+q+r. dx may be written...

A: We will solve the integral and find the sum. 

Q: Perform the operation(s) and write the result in standard form. (Simplify your answer completely.) (...

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Q: If   C(t)=79.2te^−0.13t measures the​ concentration, in ngml​, of a drug in a​ person's system t h...

A: Find your answer below