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Q: Given the polar point (r, 0), find its rectangular representation. (-:) -17, 2

A: Given Polar coordinates  Now we have rectangle coordinates as shown below

Q: What is the general solution of (1 + a2) y' = x*y %3D Oy"-3ay + 1 = C O ay - 3ry + 3y% tan-1 æ + 1 =...

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to fou...

A: Given that: ∫210x3+3dx, n=4

Q: A farmer finds that if she plants 100 trees per acre, each tree will yield 65 bushels of fruit. She ...

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Q: Find the result of the operations indicated in each of the following problems using formulas (F-01) ...

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Q: Using Lagrange multipliers method find the minimum values of the function Ax, y,z) = x +y“ +z on the...

A: Letf(x,y,z)=x2+y2+z2 ; g(x,y,z)=x+y+z-12 From Lagrange's multiplier, ∂f∂x=λ∂g∂x∂∂xx2+y2+z2=λ∂∂xx+y+z...

Q: State whether each of the following statements is true or false, in either case substantiate/justify...

A: Solution of the problem as follows

Q: Find the exact length of the curve. x = 4 + 6t?, y = 1 + 4t³, 0sts4

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Q: What is the integrating factor of 2ydx + x (x² ln y – 1) dy = 0 ? Oy O y?

A: Question is solved.

Q: Given In(4) = 1.3863 and In(5) = 1.6094 find the following below. (Round to 3 decimals) In (80)

A: Use the logarithmic identities, ln(a*b)=lna+lnblnam=mlna

Q: If F is a vector field, then F.d7 = F(B) – F(A) where the curve C goes from A to B

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Q: Use the substitution formula to evaluate the integral. 3 coe? x sin x dx /3 129 1024 O 21

A: From the given problem: I=∫π32π3cos2xsinxdx    ...1 Using the substitution method to find the integr...

Q: Marginal Cost Functions The management of a division of a major conglamerate has determined that the...

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Q: Find the critical points e for the function f and apply the Second Derivative Test (if possible) to ...

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Q: 33. f(s, t) = Vs² + ? %3D

A: Explanation of the answer is as follows

Q: termine the intervals on which the given function is concave up or concave down and find the points ...

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Q: dy xy4 - x4 = y dx

A: The given equation is: xy4-x4=y...(1)  

Q: Calculate h(x) if f(x) = x+3 and g(x) = sin(3x). Let h(x) = g(f(x)). What is h-1(x)? What is [h-1(x)...

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Q: Given log,(3) =1.099 and log, (5) = 1.609 find the following below. (Round to 3 decimals) log, (-

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Q: Given In(4) = 1.3863 and In(5) = 1.6094 find the following below. (Round to 3 decimals) In(5 e)

A: As we know that: The logarithmic properties: 1). logamn=logam+logan2).  logaa=1 Given: ln4=1.3863 &a...

Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 - 0.01x + 0.000012x2 (in...

A: Cost function

Q: Show that the area of the surface of the solid generated by revolving the cardie r = a(1- cos 0) abo...

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Q: 9. Suppose f (x) = x² + 3 and g(x) = x – 2. Which of the following is a formula for (f – g)(x)?

A: Let's find .

Q: Evaluate lim x tan

A: Solving the problem by finding the limit of the expression.

Q: y = x y = 1 1 y = →x 1 b. 2.

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Q: Saved Match the parametric equations with the corresponding plane curve displayed. x=t-75 ly=? 130 1...

A: Given : Parametric equations x = t - 75y = t3   To find : Correct graph of the given parametric e...

Q: (2) A series is said to be "alternating" if the signs of subsequent terms switch between positive an...

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Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double i...

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Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 3, s(...

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Q: Given In(4) = 1.3863 and In(5) = 1.6094 find the following below. (Round to 3 decimals) In(등)

A: Given that ln(4) = 1.3863 and ln(5) = 1.6094 and we know that ln(e) = 1. And ln(M/N) = ln(M) - ln(N)...

Q: A right circular cylinder is inscribed in a sphere of radius 6 inches. Find the largest possible sur...

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Q: 3+2cosxdc is equal to (2+3cosx) 2 cosx (b) 2+3sin x sin x 2+3 cos x 2 cos x 2+3cos x 2 sin x (d) 2+3...

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Q: 2+(In x)3 5. S x((In x)2+ln x) dx

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: sin(32 + 2')| y = (6 – 2^)3

A: As we know that: The Power rule:ddxxn=nxn-1The chain rule:fgx'=f'gx·g'xThe Quotient rule;fg'=f'·g-f·...

Q: Find the exact values of the six trigonometric functions of 0. y 15 8 17' 17 1 sin 0 = Csc e %3D Cos...

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Q: Evaluate the following limits. If needed, enter oo for o and -o0 for -o. (a) lim (282 – 15z") = %3D ...

A: (a) To evaluate: limx→∞28x2-15x3=limx→∞x328-15x=limx→∞x3limx→∞28-15x=(∞)28-0=∞

Q: Differentiate f(x) = sinh (x) + 2 cosh (x) - sech (x)

A: Aim: We have to differentiate given function.

Q: Q-2: Solve for x the following equations: a) 22x – 2*+2 – 25 = 0. In x b) * + 5 = 3 In x. 2

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Q: In estimating : cos(4x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error...

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Q: 11. Find the particular solution of 2ydx = 3xdy, when x -2, y = 1

A: Given : Differential equation :  2ydx = 3xdy And x = -2, y = 1   To find : Particular solution of ...

Q: Determine the rate at which the total average number of COVID cases is increasing at x=10 tents and ...

A: Given: Let  x=10 tents And  dxdt=1 tent/day and if the built are x=30.

Q: d?y 1- xy = x + y dx2

A: Given that: 1-xy=x+y

Q: Find the second-order Taylor formula for f(x, y) = (6x + 5y) at Xo = (0,0). Note that R2 (0, h) = 0 ...

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Q: y y' = x=2, y =4 x+ Vxy

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Q: Consider the parametric equations below. x = t sin(t), y =t cos(t), 0stsT/3 Set up an integral that ...

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Q: Solve the derrivative and enclose the final answer. xdy - { y + xy3 (1 + ln x) } dx = 0

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Q: Describe the surface with the parametrization x(u, v) = cos(u), y(u, v) = sin(u), z(u, v) = for 0 <u...

A: The parametrization, x(u, v) = cos (u), y(u, v) = sin (u), z(u, v) = v, Interval : 0≤u≤2π, v ∈ ℝ

Q: For what values of r does the sequence {r"} converge? Diverge? .... Select the correct choice below ...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

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Q: The City Council proposed to utilize government-owned land with an area of 9,600 square meters. One-...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...