1 The equation z = 1 3 3 x² + y² is given in Cartesian coordinates. Convert the equation to spherical coordinates. Enter your answer in the form of an equation. Type rho, theta and phi to enter p, 0 or p.

Q: a 10, b = 8, c = 7

A: To solve the following triangle.

Q: Sketch a graph of a function f with the following properties: the function is continuous on [-5, 5]…

A: Sketch a graph of a function f with the following properties:the function is continuous on [-5, 5]1.…

Q: Use the information given below to find sin(a-B). tan a = with a in quadrant 1 12 5' sinB =15, with…

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Q: Use calculus to show that if f(x) = (x − a)²g(x), where both f(x) and g(x) are polynomials, then…

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Q: 3. Sketch these functions and find their domain and range. a) f(x) = √√3x b) y = x³

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Q: Let f(x) = f sin t² dt. Find f'(x) x² 2x 2x sin(x4) - 2 sin(4x²) sin(x4) — sin(4x²) 2x cos(x) - 2…

A: Let .To find .

Q: Use the Ratio Test to determine the convergence or divergence of the series. Step 1 Step 2 6 Recall…

A: By using the Ratio Test to determine the convergence or divergence of the following series.

Q: Determine the amplitude, midline, period, and an equation involving the sine function for the graph…

A: A graph of the trigonometric function is given.The aim is to find the equation of the graph.

Q: What is the limit of (Cos(x)-1)/x^2 as x approaches 0?

A: Given that the expression we have to find the limit as x approaches 0

Q: Find the derivative of h (x) = csc¹ (x) Oh' (x) = -4 csc¹ (x) cot(x) ○ h' (x) = 4 csc¹ (x) cot² (x)…

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Q: Can you please answer question e and g?

A: e) From the graph it is clear that:LHL = Left hand limit at x=3: limx→3− f(x) = -4RHL= Right hand…

Q: Consider the following integral. ƒ(9e¹) e* dx By making an appropriate substitution, the above…

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Q: (−1)n n²zn n! Consider the series (-1)” n=1

A: ∑n=1∞(−1)nn23nn!Ratio TestL=limn→∞|an+1an|Where an is the nth term of the series.If L<1, the…

Q: b) Solve the following rational equation for the indicated variable. Be sure check for extraneous…

A: To solve the following rational equation.

Q: Find the distance d between the complex number - 2 + 4i and 0. d =

A: To find the distance  between the complex number .

Q: Considering the interval [−2, 4], does the Mean Value Theorem for integrals hold for f (x) whose…

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Q: b) x²-8x+15 2x²-x 1-4x² x²-x-30 X

A:

Q: y=3in (2+x²)

A: y=3ln⁡(x2+2)dydx=ddx{3ln⁡(x2+2)}ddxln⁡x=1xChain Ruleddxf(g(x))=f′(g(x))g′(x)dydx=3x2+2ddx(x2+2)

Q: Consider the function defined by f(x) = sin(sqrt(|x|)).  A) What is the domain of this function?…

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Q: Find all points (x,y) on the graph of f(x) = 2x²-3x with tangent lines parallel to the line y = 5x…

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Q: rem for Integrals Find or approximate all nction equals its average value on the given 4] 40. f(x) =…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first  question…

Q: 61. Presale Order A wireless store owner takes presale orders for a new smartphone and tablet. He…

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Q: Find the points on the curve x = t² - 16t – 5, y = t² + 14t + 7 that have: A. a horizontal tangent…

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Q: Solve the given differential equation. 3x²y" +6xy' + y = 0

A: To solve the following differential equation.

Q: Find the domain of f(x). f(x)=√x² + 7x + 10

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Q: Use multiplication or division of power series to find the first three nonzero terms in the…

A: By using multiplication or division of powerseries to find the first three nonzero terms in the…

Q: lim x-0+ x lim x-0-x² g. h. 2 1+x i. lim (¹+2) ² →? x-2

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to…

A: The objective of this question is to find the smallest number of terms required to approximate the…

Q: 4. n=1 ne-n

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 2. Show that the series converges by the Alternating Series Test (two conditions). Then find how…

A: The given series is

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

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Q: The original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 6 m, at what…

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Q: Suppose parametric equations for the line segment between (4, 2) and (4, - 2) have the form: [ x(t)…

A: The line segment between the points (4, 2) and (4, -2) has parametric equations,It is also given…

Q: Sketch the graph of ONE function that satisfies, ALL of the following conditions. Label ALL…

A: The given condition to draw a graph of function

Q: Combine the integrals L 19 if (6² 1 (3x3-4x²+6x-2) dx + 7 1 into one integral 2 (6x4–3x³ + 10x²+ 8x…

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Q: Find the exact length of the curve described by the parametric equations. x = 8 + 3t², y = 7+2t³,…

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Q: Solve the initial value problem 8y" - 2y' - y = 0, subject to y(0) = -0.2, y'(0) = -0.325.

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Q: Suppose that we're making and selling some widget and the revenue (in dollars) when making a widgets…

A: The objective of this question is to find the average revenue, marginal average revenue functions,…

Q: Below is the graphs of fox & gcx), & their tangent lines at x=2. fy=1.8(x-2) 9 9= ²/3 (x-2) a) lim…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Find the limit of the sequence as n approaches infinity: 5n 3 5n+ 5 an - -

A:

Q: By recognizing each series below as a Taylor series evaluated at a particular value of x, find the…

A: A.1+6+622!+633!+644!+⋯+6nn!+⋯

Q: S 12x+8 3x²+4x+8 dx

A:

Q: Find the absolute minimum and absolute maximum of f(x, y) = 192x³ + y²(1 - 4x) on the triangle with…

A: Given function is Now, we have to find the absolute minimum and absolute maximum for the above…

Q: Set up and evaluate the triple integral needed to compute the volume of the solid bounded above and…

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Q: 2. Find the domain and range for these functions: -2-1 y=fle

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Q: Find the equation of the tangent to the curve cos²x - sin²x y = at the point where x = I |4

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Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. X = = t³,…

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Q: Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that…

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Q: Find an equation of the line tangent to the following curve at the given point. 2 5x 3' 6 y = T= 1…

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Q: 4x (11 + x) Find the first few coefficients. Suppose that CO C1 = C2 = C3 = C4= ∞ n=0 Cnx". Find the…

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