2 sin 3at where a is any positive constant and s > a.

Q: 3. A curve has parametric equations r = sin(3t) and y = cos(t) where t takes all real %3D values. dy…

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Q: 6.) r(t) = (cos t, sin t, In cos t), (1, 0, 0)

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Q: Test the series below for convergence using the Root Test. 3n 6n + 2 n=1 The limit of the root test…

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Q: Espar Find an equation of the hyperbola having foci at (-2,-V40) and (-2, 40) and asymptotes at y3 1…

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Q: Consider the DE У" - У" — бу %3D0 = e-2x and A) Verify that yı = 5, y2 y3 = ex are solutions of the…

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Q: x2 h) lim - x+0 1- cos?2 x tan 7x i) lim X-0 sin 3x sin(x? + 3x + 2) ji) lim x+ 2

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Q: determine the area of the region bounded. show complete solutions.

A:

Q: For eac. ation, determine whether it shows a direct variation (that is, shows directly proportional…

A: Let's find.

Q: Solution: Step 1: The function f(x) needs to be verified continuous at the open interval (-1,1) by…

A: Let's find.

Q: A= 4 B=5 30 - 2 Find the 5 Only) following (chease A+ B (2) 3A -B A 2B (inverse) (leng th or…

A: Solving

Q: 2) Solve triangle ABC if a = 4,b=7,c 6. Round your answers to two decimal places.

A:

Q: 21 4 B=5 -2 A= %3D 3 0 Find the Lollowing 5 Only) (chease A+B 3A -B

A: A=2-130  , B=521-21) A+B    =2-130+521-2  =2+5-1+23+10-2  =714-2A+B=[714-2]

Q: 8. Differentiate. Use the correct notation to label your answer.n Joot ai bonIRanom at ogts viinolov…

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Q: Consider the following function. g(x) = x3 − 2 Find its average rate of change over the interval…

A: Explanation of the answer is as follows

Q: Find the net area and the area of the region bounded by y = 11 cos x and the x-axis between x= - and…

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Q: 30 P 28. A person stands 30 feet from point P and watches a balloon rise vertically from the point,…

A: Topic:- trigonometry ratios and application of derivatives

Q: If a, > 0 and -0 an is convergente then E(an)"2 is also convergente Select one: O True O False

A:

Q: -1 1 Let: Define the linear transformation T : R³ → R² by T(#) = Az. Find the images of u = 3 and i…

A: To solve the following problem

Q: Find. the Powier Series. and frad their Intervals and. sadif of. convergengeo If F(x)= g(x)= then…

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 14 – x;…

A: Use. Slope formula for finding the value

Q: Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 12 24 36…

A:

Q: (a) Find the derivative of the function y = cos(cos(e*)) (b) Let h(x) = g(x)/f(x). Use the following…

A:

Q: Use the Laplace transform to solve the initial value problem y''+y'−2y=2e3t,y(0)=−1,y'(0)=4 y(t)=

A:

Q: Suppose that f satisfies the equation f(a +b) = f(a) + f(b) + a'b+ ab (E 1, b €R. Suppose further…

A: given :f(a+b)=f(a)+f(b)+a2b+ab2→(1)limx→0f(x)x=1 →(2)a.) put a=b=0 in…

Q: Given: 3a – 6x + 2y + 8y- 1= 0. Identify the conic and give its foci.

A: Follow the procedure given below.

Q: 2-4x3 3. lim X→0- 5x²+3x³

A: To evaluate: limx→0-2-4x35x2+3x3

Q: Test the series below for convergence using the Root Test. 2n + 6 4n + 2 n=1 The limit of the root…

A: Root Test : Consider the positive term series ∑ an . Define ,             L = limn→∞ an1n  , then(i)…

Q: Exercise 1. Express the limit as a definite integral on the given interval a) lim T? cosxi Li=1' Ax,…

A:

Q: A population of insects increases at a rate of 220 + 8t + 1.5t² insects per day. Find the insect…

A:

Q: X+1 Use a table to evaluate the limit: lim x(x- 1) • O -1 +cO

A: Use limit for finding the right answer.

Q: 1 31 41 В' 25' 32

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Q: Consider the following function. f(x) = |x - 3| %3D Find the derivative from the left at x = 3. If…

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Q: 1) Sketch the curve. b) r=1-3 cos O Show All Your Work!

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Q: Use the function f and the given real number a to find (f1)(a). (Hint: See Example 5.) X + 8 f(x) =…

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Q: Evaluate. (Be sure to check by differentiating!) 8 dx, x# - 8+ 9x J8+ 9x dx = (Type an exact answer.…

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Q: If f is a function and not necessarily a position function, then we can interpret AVa,a+h] as the…

A: This is a problem related to average and instantaneous rate of change of the function. Based on the…

Q: Given the curve :x = t³ – 3t, y = t3 – 3t2. Find the POINTS on the curve where the tangent is…

A:

Q: Find the exact value of the expression. 15 -1 tan + sin 17

A: Prequisites

Q: Consider the surface defined by the equation z2 = 2x² + 4x - 6y? - 2y+ 1. %3D Find a set of…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: 22. On what value of x is f(x) = x2+3x-10 has %3D x-2 removable discontinuity? A) 5 B) -5 C) 2 D) -2…

A:

Q: We say f : R –→ R is even if f(-x) = f(x) for all x. We say f is odd if f(-x) = -f(x) for all x. (a)…

A:

Q: 2t 3t – 1 Verify the product law for differentiation, (AB)' = A'B + AB' where A(t) = 13 1 and 1-t…

A: To verify the product law for differentiation, AB'=A'B+AB' where, At=2t3t-1t31t and Bt=1-t1+t2t25t3.

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

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Q: QUESTION 4 dx where x# 0 x² In(Ixl) +c In (13x1) +c 3ln (Ix1) +c QUESTION 5 7894 142 Ma

A:

Q: e SİY

A: answer is in next step

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (6, 0,…

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Q: EXERCISES 5: Find equations for the (a) tangent plane and (b) normal line at the point Po on the…

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Q: If , Ax) dx = 10 and , Ax) dx = 7, find , Ax) dx. Select the correct answer. O 1) -10 O 2) 17 3) 3…

A: