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Q: Evaluate. Submit your solution in google classroom sec* 2t dt tanº 2t O -1/(12tan^6 2t) - 1/(16…

A: find the integration

Q: Using Integration By Parts, x sec - x tan x dx = %3D

A: Use integration by parts.

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A: Given problem:- Does the function satisfy the hypotheses of the Mean Value Theorem on the given…

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A: Given,           ∫csc614wcot414wdw

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A: We have to find the values of x and y from the above expression.

Q: What will you factor out from the integrand of tanx sec'x dx so that you can transform it to its…

A: To factor out a term such that the given integrand becomes integrable.

Q: 4. A father is running west at 5 m/hr and his son is running north at 6 m/hr. Both are headed for…

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

Q: 2x+11 1 Consider f dx = x2+x-6 x-2 x+3 then evaluate S(-dx xp(* - 3 x+3

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Q: Consider the following piecewise function: 3x + 6A ЗАх — 7В if — 3 < x < 3 х — 12B if x < -3 9(x):…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: The domain of a vector valued function is the intersection of the domains of its components.

Q: y''+4y'+3y=sin(3t) with y(0)=1 and y'(0)=-1 determine with laplace transform

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Q: d d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

A: Here we use the concept of dot product and cross product of vectors

Q: LL %24 Use the graph to evaluate the limit. lim f(x) of 8. 2. pe here to search F4 F5 F7 # %

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Q: dy Solve for the general solution of the differential equation (ax+by+c)² where a, b, c e R dr and…

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Q: Integrate

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Q: 5. Let ƒ be a function satisfying the following properties: lim f(r) = 2 continuous on R \ {0} •…

A: a. Here, we have  limx→0-fx=-∞, which means the function has a vertical asymptote x=0; limx→+∞fx=0…

Q: Given x sin (yz) + y³ cos (xz) + z sin (xy) = v3. Find əx (a) implicit differentiation, (b) by…

A: a) Implicit differentiation: We will treat y as constant.…

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A: Inverse laplace transform of 3s+4s-2s2+7

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Q: 4) Equation: 4x +9y² = 1 1 Given that dy/ dt =8, find dx / dt when (x,y)= 3 9

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 11 cos(t)i + 10 sin(t)j +…

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Q: J sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) , sin(2x)cos(2x) , sin(2x) + + C 12 8 8 4 sin(6x)_ sin(2x)…

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Q: Let E be the region in R that is under the plane x + 2y – z = 0, and in the xy- plane it is enclosed…

A: Find your answer below

Q: sin COS dx V 32 COS 35 5cos² + C O 32 COS 32 + 4 COS 4 口 32 cosS Ssin+2-c cos () + c 35 4 4 32 CoS 7…

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Q: 5x -dx? J x³ + x² + 4x+4 How many quadratic and distinct factors are in the denominator of

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Q: За — 1 (x – 2)(x + 5)

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Q: Use the following theorem to evaluate the integral le - 4|dx. Theorem: Iff is integrable on a closed…

A: Given:     ∫-22ex-4dx Eliminate absolutes      =∫-22ln2-ex+4dx+∫2ln22ex-4dx…

Q: 3(x + 2)\/1 (x+2)² Which of the following is *+2) + arcsin 9 +C equal to? arcsin (z + 2) + (x + 2)v5…

A: Given that,     92arcsinx+22+3x+21-x+2292+C

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A: Given a function is two variables.

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Q: _14. Suppose that a function f: R² → R and its partial derivatives up to the third orders are…

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Q: 2х dx cos?(2x) Evaluate 1. xtan (2x) + In|cos(2x)| + C 1 xtan (2x) + In|sec(2x)} + C xtan (2x) 1…

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Q: x² - dx ? Using trigonometric substitution, what is x3

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Q: What are the polar coordinates of the point Q shown below? 1 2 3 4 5

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Q: 7.A Water font has a shape sp an inverfed arcular cone with ? base radius 4m nd herght m.lf water is…

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Q: 1. S(5x4 + 2x – 1)dx 2. S dx. 3. 늘e-ndx 4. S cot?x dx In 4x 5. S A dx

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Q: Find the derivative of y with respect to t. y = In (t) dy %3D dt

A: Given function y=lnt9 we have to find derivative of y with respect to t. ln is natural logarithm…

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Q: Find the area A of the part of the circle r = 13 sin(0) + 13 cos(0) in the fourth quadrant. (Use…

A: Here we have to find the area A of the part of the circle r in the fourth quadrant.

Q: sec(0) Compute the area A bounded by the line r = 7 e and the rays 0 = 0, and 0 = 4 as an integral…

A: Here, the formula used is: A=12∫abr2dθ

Q: The result of x3/x² – 1 dx is F(b) – F(a) where F(a) and F(b) are both real numbers. What is the…

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