Convert the Cartesian equation Z z = 6-√√36-x² - y² into spherical coordinates.

Q: Find the differential dy of the given function. y sec² x x² + 2 dy sec²x(x²+2)tan x-x (x² + 2)² dx X

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Q: Find the interval of convergence of n²x³n 33n n=1 interval of convergence = (Enter your answer as an…

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Q: Differentiate using delta method y=6x2-24

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Q: Use Green's Theorem to evaluate the line integral. S y² dx + xy dy C: boundary of the region lying…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y³ and x = y…

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Q: Given: y = cosh (es): Find y O (E) None of these cosh (e*²) 2:z sinh(e*) Oeu sinh(ex) O 2ae*…

A: This question is related to differentiation, We will solve it using given information .

Q: What are the rectangular coordinates of the point whose spherical coordinates are (1, ½π, π) ? x = Y…

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Q: An ellipse of equation 4x²+2y²=k the distance between its foci 3√2 Find the value of k

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Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 2√x lim CSC X

A: Explained below

Q: Let f(x) = Find the equation of the tangent x² +1 line to the graph of f'(x) at the point where x =…

A: We have to find equation of tangent

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

A: Find n

Q: Complete the table. (Round your answers to four decimal places.) X-7 x-7x²²-8x+7 x 6.9 6.99 6.999 7…

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Q: C: rectangle with vertices (0, 0), (2, 0), (2, 3), and (0, 3)

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Q: Find two positive integers such that the sum of the first number and four times the second number is…

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Q: 5x²³-4x²+3x LX Find the most general antiderivative of the function: f(x)=-

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Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = √²ti + e-√²tj + 2tk, 0≤…

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Q: Find the indefinite integral. (Use c for the constant of integration.) [(48³1 + (4t³i + 14tj -…

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Q: The graph y=f(x) is given; transform the graph y=f(x) into y=2f(x+1)

A: Given: Line passing through 0, 0, 4, 4:  y=x    {0≤x≤4}The equation of the curve is y=x-52+3…

Q: 27 SECOND DERIVATIVES Find TUTORIAL 22 if y-In (x + 1). Answer 2-2x² 22-2

A: Note:-As per your mentioned request i am solving question 1 from the given figure.

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: ∑n=1∞  n!22n!

Q: 16. Let u = ln t, t = 2r and r = √w. Find and simplify du dw in terms of w.

A: As per Bartleby guideline,  we have answered only the first question. Please repost mentioning the…

Q: 3. Find if y³ + 2xy - x² = cos x using implicit differentiation.

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Q: For F(x, y, z) = (x + yz) i + (y + xz)j + (z + xy) k, find: (a) the curl (b) the divergence

A: To find curl F and div F

Q: Determine the sum of the following series. 31 10 Σ(1)

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Q: Express the limit as a definite integral on the given interval. n lim [7(x)³ - 5x;*]4x, [2,7] n→∞ =…

A: Here, the limit of the integral is [2, 7]. Further, ∆x is replaced by dx and replace xi* by x. Thus,…

Q: 3 find the values of az/ax and az/ay xe³+ ye² + 2 lnx-2-3 In 2 = 0, (1, In 2, In 3)

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e cos(t), y=e¹ sin(t), z =…

A: Let's find.

Q: Find the integral of the following equation integrate (cos x)/(1 - cos^2 x) dx

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Q: Find all solutions of the equation in the interval [0, 2). sin x=√1- cos x Write your answer(s) in…

A: To solve the given trigonometric equation.

Q: Find the limit. NOTE: Enter the answer using round brackets. t² +9 1 = lim t→+∞ (?, ?) 7t² + 8' 4t,

A: Given problem:-

Q: d² y +3-10y=3x² dx² dx

A: Given; d2ydx2+3dydx-10y=3x2 So, we can also write as; D2+3D-10y=3x2 So, the auxiliary equation is:…

Q: d. Write the equations for any vertical asymptotes. e. What is the value of f"(x) on the interval -3…

A: We need to fill in the blanks.

Q: -10 -10 8 61 0

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Q: Find the tangent line approximation to the graph off at the given point. Then complete the table.…

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Q: Use the rules of differentiation to find the derivative of the function. y=9x². + 7 sin x

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Q: We can prove that if D is a region bounded by a simple closed path C in the xy-plane, then the…

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Q: Write TRUE if the statement is correct, otherwise write FALSE. THERE IS NO NEED TO JUSTIFY YOUR…

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Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t) ||³ = r(t) = e³ti + e-tj to find k(t).

A: By using the formula kt=r't×r''tr't3 to find kt.rt=e3t i+e-t j

Q: Evaluate the following limits. USE OF L'HOPITAL'S RULE IS NOT ALLOWED. log₁ (x+3) lim x →1 -1 1-cosh…

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Q: 32-37 FOURIER INTEGRALS AND TRANSFORMS Sketch the given function and represent it as indicated. If…

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: To find out the tangent line approximation.

Q: Prove the identity. COS X 1-sin x 1+ sin x COS X Note that each Statement must be based on a Rule…

A: Solution )  cos x / ( 1 - sin x ) Multiply cos x in numerator and denominator =cos x × cos x /  […

Q: Evaluate the limits of the following. State the theorem(s) used. x²³ +8 lim x+2 x+2

A: We can solve this as follows:

Q: Σ(+6) της

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

A: We know, ddtr1(t).r2(t)=r1(t).dr2(t)dt+r2(t)dr1(t)dtddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

Q: X + y = 3лab2 У Злаb2 у X find y" in complete solution

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Q: Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

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Q: Find the average value of the function f(x) = 3x³ on the interval 2 ≤ x ≤ 6

A: The average value of a function is found by taking the integral of the function over the interval…

Q: Express the function as the sum of a power series by first using partial fractions. f(x) =  x + 4…

A: Solution: f(x)=x+42x2-5x-3

Q: Evaluate the integral 13 ƒ(x)dx geometrically for ƒ (x) = { |3 − x ; x ≤ 5 2; x > 5

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