2r-4x2-x-3 dx x- 2r 3 In Ix+ 1 +3 ln|x-3| + C +1-3 ln|x-31+ C Option 1 Option 2 2 In |x + 1| - 3 In|x – 3|+ C 2 In |x + 1| + 3 ln|x – 3| + C Option 3 O Option 4 Other: | None of the above

Q: Evaluate the line integral (8x + 7y)dx + (2x - 7y)dy along the curve C: a = 8 cos t, y = 16 sin t (0…

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Q: 2. Integrals containing sin u cos v can be solve using identity. (a) Double-angle (b) Half-angle (c)…

A: Let's find.

Q: Prove the given identities. csc 0 – cot 0 (a) sec 0 – 1 = cot 0 (b) cot 0 + tan 0 = csc 0 sec 0 For…

A: a) [csc(theta)-cot(theta)]/[sec(theta)-1]=cot(theta) b) cot(theta)+tan(theta)=csc(theta)sec(theta)…

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

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Q: y = [log(arc cot r3)]cosh

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Q: Evaluate the line integral | -ydx + xdy along the curve C : y? = 18x from (18, 18) to (0,0). NOTE:…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. P…

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Q: Find a value for k that will make the given function a probability density function. f(x) = kz, on -…

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Q: 24. (х? + 2х + у) dx + 2dy %3D 0

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Q: y = In (csc 2)

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Q: y sin 2x + cos 2y = ax Find y' a – y cos 2x y% = sin 2x – sin 2y а - 2у сos 2x y sin 2x – 2 sin 2y…

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Q: 3. Determine the valume of the solid ebtained by rotating the region bounded by y=x² and x =y2 about…

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Q: 5. By Chain Rule , evaluate a. y' for y = u? + 4u and u = 4x3

A: This question is related to Differentiation, We will solve it using given information.

Q: d Find [r(t) · u(t)] and [r(t) x u(t)] in two different ways. dt dt r(t) = ti + 2t2j + t³k, u(t) =…

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Q: dx V25 – x

A: Given problem:-

Q: Evaluate: /1/T 1–x*dx (A 4) ² +c B D E) None

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: Find the divergence of the vector field F. F(x, y) = 7XEX¡ – 9x²y2j

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Q: sion into quadratic form, ax² + bx + c = 0, and ide %3D

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Q: Between 1 seconds and 9 seconds the ball's average velocity is If necessary, round the answer to two…

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Q: Find the positive root of the equation x + 2x2 + 10x - 20 in the interval [1,2] using Regula Falsi…

A: Let, the given function be: f(x)=x3+2x2+10x-20 And, the formula of the method is:…

Q: Which of the following angle measure (in degrees) is coterminal to an angle of measure -690 degrees?…

A: To find a positive and negative angle co-terminal  with a given angle , you can add and subtract 360…

Q: A proton traveling at 31.0° with respect to the direction of a magnetic field of strength 3.23 mT…

A: This question can be easily calculated by applying the concept of motion of particle in a magnetic…

Q: sec" /x dx 17. 2 5n Ans. 6

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Q: dx 3-x

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Q: Find the volume of the solid obtained by rotating about the x-axis the region under the curve y=…

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Q: Find V · (V × F) if F(x, y, z) = 3 sin xi + 6 cos(6x – 7y)j + 3zk.

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Q: 1. Find the angle between the following two vectors. and

A: The given vectors,  8,-5 and -9,-7

Q: Question 1 Which of the following is false? O yofe" = eu . Ine u (x) In e O yof log, u = u' (x) In a…

A: We can solve as follows

Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

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Q: Find the following for the given equation. r(t) = 8 cos(t)i + 8 sin(t)j (a) r'(t) = (b) r"(t) = (c)…

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Q: find the volume of an ellipsoid having the equation x^2/25 + y^2/16 + z^2/4 = 1

A: Let's find.

Q: Given the function, x = 3 + Vx? + y² , find y. Vx² +y² - X y Vx² + y? - > ア= y Vx? + y² + x ア= y Vx?…

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Q: 1. Solve the differential equation: xy' – y = 2x In x

A: Use linear differential equation concept

Q: The total revenue, thousands of dollars, for selling g thousand Framits is given by (a) Find all…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Find the arc length of the graph of r(t) eV2li +e¬V2lj+2tk, 0<t< v2 ln 9 NOTE: Enter the exact…

A: Given problem:-

Q: 1 2 f(t) = 3 Vi+1 2. Given SET A. determine f"(t)

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Q: Q1: Find partial derivatives of the function with respect with each variable 3) f(x, y) = (xy – 1)}…

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Q: Integral

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Q: 2 x – 4 dx .2 1

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Q: Calculate the flux of the vector field through the given surface. F = zi + 2xj + 3yk, and S is the…

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Q: Find div F and curl F if F(x, y, 2) = 16y"z'i – 8x"zj – 7xy°k. div F= curl F=

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Q: Is the solution region bounded or unbounded?

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Q: Determine the derivative of the following curve: T3+y3 +yi = 5

A: Given: x23+y23=5

Q: 2x (x- 3)2 .

A: Given: ∫2xx-32dx

Q: æ = (f+ a)soɔ Which among the choices is equal to the dy/dx? In your sc - cos(r+y) A)

A: Given: cos(x+y)=x

Q: Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift. Then…

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Q: 3. Differentiate. SET A. y = 3 cos(5x2 + 2)

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Q: Find the integral. 4 9) x4 In 2x dx A) 391.74 B) -202

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Q: Find the third derivative [f"(x)] of the given function: f(x) = 8 sin() %3D

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