onsider the hyperbola of equation: - h)? (y – k)2 1 a2 hose foci are (-3, 2) and (9, 2), and the distance between ertices is 8. Determine the value of b.

Q: Find dy/dx of the following function using Chain Rule. y=(-3x5 +1)3

A: we use chain rule for differentiation y=(-3x5 +1)3 dy/dx =3(-3x5 +1)2(-15x4) dy/dx = -45x4(-3x5 +1)2...

Q: Q2: Sketch the polar function r = 6 cos 30 ,-n <0 < T

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Q: Evaluate sin2(x) cos*(x) xdx 32 C. 32 A. 32 в. D. 32 O A В

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Q: Determine if the series comverges or diverges. If the series converges, find its sum. If it Σ 4n 4(n...

A: This is a problem related to series and sum calculation Based on the available method we will find o...

Q: Detemine whether the series is absolutely Convergent fonditionally convegent, ordivergent. 2²+2n+3. ...

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Q: F sin?(20)de c. D. - A. в. A B.

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Q: The area enclosed by the curve x² + y? = 25 is revolved about the line x -10=0. Find the volume gene...

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Q: Evaluate fv*+1dx x2 A. 를 (1 +즐)를 -를 (1+ 즐)를 :. 를 (1-즐)를 -를 (1-2)를 + C + C + C D. + C Evaluate the in...

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Q: Solve for the antiderivative of the function f(x) = C. *++3x + C A. ++9x+C B. 즉++9x +C D. 2x ++3x + ...

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Q: 3. Determine if f is differentiable at x = 0 given that -1 4 cos if – 2 0, x + 1 (x-1)6'

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 1. Using Logarithmic Differentiation, find given that dr -3 sec-(VT) y = 4"(log21)«ch z'

A: To find derivative using logarithmic differentiation  keep this formulas in mind  log ab= b log a lo...

Q: 10. Sketch the solid obtained by rotating the region undemeath the graph of the function y = xi - 2 ...

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round yo...

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Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

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Q: Suppose that 8 J of work is needed to stretch a spring from its natural length of 40 cm to a length ...

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Q: Find the area of the region enclosed by the curves x = 7- y and y = Vx+5, y = 0. Give the exact answ...

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Q: Solve the following differential equations of -cos(y)·y'+sin(y)=x Linear Differential Equation

A: Let's find. 

Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information....

Q: 6-2x Prove by definition that lim 4. 3

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Q: C. Directions: Solve the given problem using continuity of a function it is estimated that a worker ...

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Q: the given double integral the indicated Compute rectangle: ex 4x-1 over SS- dA R = [-1,0] x [1,2] A....

A: Let's find. 

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y=25-x2 and y=3...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: Hi, I need help with these problems. Thank you so much! Find each of the following derivatives. g(2)...

A: Topic:- derivatives

Q: E. The population is 900 in the beginning, 1050 the next year, 1200 the next year.

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Q: Evaluate ſ xe3x dx A. (1/9)(3e³x – e³) + C B. (1/9)(3e³x + e3x) +C c. (1/9)(3xe3x – e3x) + C D. (1/9...

A: Integration by parts:∫u(x)v(x)dx=u(x)∫v(x)dx-∫du(x)dx∫v(x)dx

Q: Convert e = 10 to an equation in polar coordinates of the form r = f(0). (Use symbolic notation and ...

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Q: 2. Express the shaded area of the region shown below by double integrals of order of integration (1)...

A: find area using double integration

Q: dx Evaluate: S sin'x A. 3tanx с. tan?x + C tan x 1 + C tan 2x tanx + C tanx в. D. 2tan?x 3tan?x A C

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Q: Use Cramer's rule to solve the system. 3x- y-5z 14 3x-5y-2z 2 3x - 5y = -6 ... Write the fractions u...

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Q: computes curve length for 0

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Q: Justine and Ashley are partners in solving problems involving derivatives. They agreed to solve the ...

A: Ashley solution is correct.

Q: Find the area of the area bounded by the given curves. Draw a figure showing the region and a rectan...

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Q: 3n 2n TE S. (sin x + cos y)e dx dy dz A. 2n(e2n + e3) B. 2m(e2 – e3") c. 2m(e + e2") p. 2n(e- e")

A: For the solution follow the next steps.

Q: Solve the difTerential equation. Write your answer in the form F(y)=G(y) do not attempt to sole for ...

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Q: Evaluate the integral:S csc?xv1+ 3cotx dx. A. 등(1+3cotx) + c B. -(1+3cotx) + c c. (1+3cotx) + c D.글(...

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Q: xdx Evaluate Vx-16 Vx2+16) +. Vx2-16 + C A. In In +C C. In In ) x-16 x--16 в. In In + C D. In In + C...

A: Given

Q: Make the u-substitution 2u 1- u? dx = 1+ u2 sin x = Cos x = and du 1+ u? to convert the integrand to...

A: integration using the substitution method

Q: 4. Determine if g is differentiable at r 0 if 2 cos-r, if -1 0. r+ cos r

A: The objective is to determine if g is differentiable at x=0 or not. 

Q: Let a = ci +j andb = 3i + 4j. Find c so that the angle between a and b is. Round your answers to fou...

A: Topic = Vectors

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

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Q: Use the Endpaper Integral Table to evaluate the given integral. If you have a CAS, use it to evaluat...

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Q: QUESTION 10o Select each convergent series from the options below. No work required. 1 n=1 5 n=1

A: P-Test: The series ∑n=1∞1np converges if p&gt;1 and diverges if p≤1 The series ∑n=1∞rn converges if ...

Q: ds s2V9-s? V9-s2 9s

A: Please refer to the image below

Q: Evaluate the integral /16 – æ² dæ and simplify

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Q: xdx Evaluate f: Vx-16 Vx²+16 -16 In In +C In In D+c A. с. (In In + + C In In +C в. D.

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Q: Given a function f(x,y,z) = (x+6) In (2y - 9) sin (6z). Find the range of the function. o a [ -1,1] ...

A: Given a function fx, y, z=x+6 ln2y-9 sin6z.To find the range of the function.

Q: olve the initial-value problem 2xy = In x, y(1) = 2 t? + 3u, t> 0, u(2) = y + x² sin x, y(7) = 0 dy

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Q: The vector n = (7, –4, 2) is normal to the tangent plane to z = h(x, y) at (4, –5,6). Estimate h(4.0...

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