5- Evaluate: f Sin (2x7 - 3) dx x6

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Q: Name: OPEN ENDED QUESTIONS: Prove each Identity: 15 A. Seco Sine Tane + Cote Sin²0 15 B. Csc²0…

A: A detailed solution is given below.

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Q: If f(x, y) = 49 - 7x² - y², find fx(1,6) and f (1,6). Illustrate with either hand drawn sketches or…

A: Given problem:- If f(x, y) = 49 - 7x2 - y2 ,find fx(1, 6) and fy(1, 6). Illustrate with either hand…

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Q: Problem 6. non-increasing on [0, 2π]. (1) Prove that (2) Prove that integrals.] Let f be a…

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Q: 11. Find the value of m, such that D1, D2, D3 meet each other at one point. D1: x - y = 1 D2: 2x + y…

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Q: Determine the centroid of the area bounded by the curves y = 4x + 16, x= -2, x = 5 and x-axis.

A: Given curves are,

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Q: Aw 2.f(x) 4 3. f (x) = x 9 =

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 4. fx(1-x) dx

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A: Topic:- differential equations

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Q: Q.22) The integral x-3 dx is convergent if the values of p are: a) (-0,3) b) (-∞, -2) c) (3,00) d)…

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Q: Question 4 (a) An object is moving with position vector r(t) = cos(ot)i+sin(at)j + at³k. (i)…

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Q: Evaluate [™ªx x cos(x) dx

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Q: 1) de³ +3- dx2 22 Differential Equation dy = 0 da

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Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an…

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Q: . Shown at right is the slope field for which differential equation? A. dy= B. Jax 11 US // 1 -1/ 1…

A: Here graph of B)  dy/dx=x^3/y^2

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the…

A: Recall:  V=∫abπf(x)2dx We have a=0, b=6, f(x)=e-x

Q: lim (SC - S(T)) where f(x) = -x²+x+6 f(7+h)-f(7) h h→0

A: f(x)=-x2+x+6= limh→0 f(7+h)-f(7)h limh→0 -(7+h)2+(7+h)+6-[-72+7+6]h limh→0…

Q: 10. If M is a point that is 1/3 of the distance from point A to point B, then M divides the line…

A: Let distance between A and B is x.

Q: Evaluation. 1. J (sinu + u) du 2. (1-cosv) dv Integrate each of the following. Show complete…

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Q: 2x+5 x-3' to y = = ( 2. For the rational function y = transformations compared write the equation in…

A: We have to solve given Questions.

Q: For the function g whose graph is shown, find a number a that satisfies the given description. 0 2 4…

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Q: 3. Evaluate 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octant.

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Q: An object moving in a straight line travels s(t) kilometers in t hours, where s(t) = 8t² + t. (a)…

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Q: 5 CSC x dx

A: Using following formula

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A: Note:- As per your request i am solving here question no. 1

Q: Question 4 (a) An object is moving with position vector r(t) = cos(cot)i+sin(at)j + at³k. (1)…

A: Given :position vector :r(t)=cos(ωt)i+sin(ωt)j+αt2kω=π and α=2 and t=3

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Q: tody + y² = 0 dt

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Q: Find an equation for the line tangent to the graph of f at (3, 103), where f is given by f(x) = 5x³…

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Q: c) Converge by integral test Q.10) fxe-x dx = a) 6e-5-1 25 b) 1-6e-5 25 c)(4+1) 2$ -6e-s 25 d)-

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Q: 12. Find the area of the triangle bounded by the lines y=x+3, y=2x-1 and y=-3x+4

A: Solution: Given lines, y= x +3.....i y= 2x-1.....ii y= -3x+4.....iii By using intersection points of…

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

A: Explanation of the answer is as follows

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