convert parametrici equation in rectangualr form  x=5sin t, y=4cos t

Q: a. Find the open intervals on which the function is increasing and those on which it is decreasing.…

A: f(x)=x2-8x-3,x≠3

Q: Use a double integral to find the area A of the shaded region. -3 -2 KIN 2 3. 2 1 -2 -3- r = 1-…

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Q: If f(x) is even and 5 [₁(f(x) - f(x) 8) dx = 8, find -5 5 [²³F(x) f(x) dx.

A: ∫-55fx-8dx=8 ∫-55fxdx-∫-558dx=8 ∫-55fxdx-8∫-55dx=8 As, ∫dx=x ∫-55fxdx-85--5=8 ∫-55fxdx-8×10=8…

Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest…

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Q: Find all the first order partial derivatives for the following function. f(x, y) = In a a | 11 11 =…

A: A function,

Q: FInd the tangential and normal components of the acceleration. r(t) >= [10sm &t+3] ₁ + [10 cost-2]j…

A: We have differentiate given vector to find velocity vector and again differentiate to find…

Q: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…

A: Revenue function Rx=500x-0.01x2 Cost function Cx=160x+100,000

Q: Two people start walking from the same point. One walks west at 2 mph and the other walks north at 4…

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

A: ⇒gx=x3-3x

Q: 2. Which of the following series converge? 00 1 LY n=1 II. Σ III. n=2 n√n n=13" (A) I only 1 1 nlnn…

A:

Q: What does L'a a(t) dt, represent if a(t) is acceleration in km/hr² and t is time in hours? This…

A: in the given form of integration a(t) represent acceleration which also can be written as dvdt.

Q: Since YouTube first became available to the public in mid-2005, the rate at which video has been…

A:

Q: π Find the average value of the function f(p, $, 0) = psin over the solid upper ball p≤2, 0≤ ≤ 2.…

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Q: 1. Find the area of the shaded region. a. y = 3r-r² y=r: (2, 2)

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Q: Explain why if a runner completes a 6.2-mi race in 36 min, then he must have been running at exactly…

A: Total distance of race is 6.2 miles. Time taken to complete the race is 34 min.   Avg. speed…

Q: Give the indicated limit. If the limit does not exist because the function approaches infinity,…

A: The given limit is limx→1-ex2+6x-1. We have to find the given limit.

Q: Use the matrices below. Perform the indicated operation. 12] A = 2 1 1 -3-2 5 4 4 3 Find BA. 183- B…

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Q: 51. G(u) = cosh¯¹√1 + u², u>0 -1

A: Gu=cosh-11+u2, u>0

Q: 27. Calculate the area of the parallelogram whose adjacent sides are a = [–6,5,–4]& b =[−2,2,4].

A:

Q: Find the area of the shaded region. b. 2 x = 1 S y = ln (r) -1 x=2

A: We have to find the area of the shaded region in the given figure.…

Q: 5. A commuter train carries 2000 passengers daily. The cost to ride the train is $7 per person.…

A:

Q: Determine if the function x-3 x + 2 f(x) satisfies the hypotheses of the Mean Value Theorem (MVT) on…

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Q: 7. Evaluate the following limits: lim √√4+√√25+xbow x→0 a) 2 + √5 b) 3 8. The incorrect vector…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Solve the logarithmic equation. log (15-x) = 0.5

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Q: A woman lives on an island 2 km from the mainland. Her fitness club is 4 km along the shore from the…

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Q: State the absolute maximum and minimum values attained by each of the following functions defined…

A: To find out the absolute maximum and absolute minimum for the given functions whose graphs are…

Q: Find the values of x for which the series converges. (If the answer is an interval, enter your…

A: Series and sequences

Q: Given the quadratic function f(x) = -2x² + 8x Find the vertex, the Y-intercept, the X-intercepts (if…

A: fx=-2x2+8x

Q: Which of the following series converge? I. 1+ (−1) +1 + ··· + (−1)″−¹ + ... ... +... II. 1 + 3 + ½…

A: The given series, i) 1+-1+1+....+-1n-1+... ii) 1+13+15+....+12n-1+... iii) 1+13+132+...+13n-1+....…

Q: Find a function f(n) that identifies the nth term an of the following recursively defined sequences,…

A: The Answer is in step2.

Q: Answer the following questions about the function whose derivative is f'(x) = (x − 4)²(x + 6). a.…

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Q: Determine the following indefinite integral. Check your work by differentiation. (8x + 5)(1-x) dx…

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Q: Suppose the present value of a continuous income stream over the next 6 years is given by P= 8,000…

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Q: b. Find each local maximum, if any. Select the correct choice below and, if necessary, fill in the…

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Q: Find the maximum sustainable harvest of the given function. f(S)=24S where S is measured in…

A: We have to find maximum sustainable harvest.

Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 26 cm…

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Q: (-3) (查:0)/ (午,3) (,0) (堅-3)

A: The sinusoidal graph is given as , Find the equation.

Q: Consider the function. (If an answer does not exist, enter DNE.) f(x) = x³ - 8x² + x + 6 (a)…

A: f( x) = x3 - 8x2 + x + 6

Q: f(x) = 9x x² +7 on the domain [-5,0]. Select the correct choice below and, if necessary, fill in the…

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Q: Solve the logarithmic equation. Express all solutions in exact form. In (5-x)+ In (-4-x) = In (1-5x)…

A: To solve the logarithmic equation. ln5-x+ln-4-x=ln1-5x

Q: Evaluate the following indefinite integral. Use C as your arbitary constant. Sx6 ex7 dr

A: Given integral ∫x6ex7dx

Q: √4x+4y² - √√2x-1² = 5

A:

Q: = 1. *Estimate* the area under the curve of f(x) = 3x + x² from z = 0 to z and left endpoints. 6…

A: We have to estimate the area of f(x) using left endpoints which is also called Left Reimann sum.

Q: Use the Fundamental Theorem of Calculus to evaluate (if it exists) [ f(x) dx, where 8x 4 sin(x) if…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your…

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Q: olve the following logarithmic equation. Use a calculator if appropriate. log (4x+1)+ log 3 = log…

A: log4x+1+log3=log11x+12from properties of lof function (i)  loga.b=loga+logb(ii) if  logx=logy, than…

Q: 4. Given the quadratic y = (x + 2)2 - 1, answer the questions and sketch the C a) The b) The vertex…

A: According to bartleby guidelines we can answer only three subparts.

Q: Find the divergence and the curl of V = zi+yj + xk.

A: find out the divergence and curl of v :  V = Z i + y j + z  k

Q: Find the radius of convergence, R, of the series. Σ (4x + 3) 12 1 = 1

A: