Convert the point (√3, 1, 0) from Cartesian to spherical coordinates.

Q: If f(x) = (3x + 2)−ª, find ƒ'(x). Find f'(5).

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Q: etermine the Laplace Transfor f(t) = 3te-5t cos(2t) stands ca

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Q: g'(x) = Find the derivative of the function g(x) = e² 52+3

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Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal places.…

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Q: Use a graph to find approximate x-coordinates of the points of intersection of the given curves.…

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Q: 3 The integral ³³ g(x, y) dxdy is equivalent 3 to ₁ ³x g(x, y) dydx

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Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): Answer: x-1 lim…

A: We need to find the limit limx→∞ x-12x2-7x

Q: Find the derivative of the function using Chain Rule. f(x) = (2x-5) ¹ (4x+3) Given -2(12x-17) Answer…

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Q: LILL Hours spent studying 2 Graph B 4 6 8 Hours spent in class d. What is the equation for Graph B?…

A: Here s denotes study hours and c denotes hours spent in class.

Q: In Exercises 1-2, let u = (3, 2, −1), v = (0, 2, −3), and w = (2,6, 7). Compute the indicated…

A: Note:- according to the company policy we can attempt only three subparts of a question so please…

Q: Find the equation of the tangent line to the curve at the given point. \\ y = 1 + 2x − x³, (1, 2) y…

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Q: x5 + x4 (5x6 + 6x5)² J dx

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Q: Which of the following is the normal line at the point (-1, 1, 1) to the surface x² – 2y² − 3 ² = −4…

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Q: A homeowner wants to enclose three adjacent rectangular pens of equal size, as in the following…

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Q: Example 13 Les A-[³3] and [3] A= B= Find AB and BA if they exist.

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

Q: Use implicit differentiation to find dz/dx and dz/dy. X - z = arctan(yz) 218 дх 3: ду = = 1 22 yz +1…

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Q: Graph the following function, showing all asymptotes and relative extreme points. 2x 16 x+4 f(x) =

A: The Solution is given below

Q: What is the area of a single right trapezoid? Note: in the formulas below, • L₁ and L₂ represent the…

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Q: 16-1

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Q: A cube of ice is melting so that each edge is decreasing at the rate of 2 inches per hour. Find how…

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Q: Differentiate d/dx  ∫ [cos(x), 0] t dt (using the Fundamental Theorem)

A: Differentiate d/dx  ∫ [cos(x), 0] t dt (using the Fundamental Theorem)

Q: Find the derivative of f(x) = = 30 6/4x+1 Enclose numerators and denominators in parentheses. For…

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Q: Let f(x) be defined by f(x) = et² Find f'(1). Note: Your answer (if it's not an integer) should be…

A: On solving this we will get

Q: Find the (a) derivative y'= dy dx y = (n² + 5 secx) ㅠ of following Question tog 3 x

A: Note: Due to guidelines i can solve only your first question. Solution: a) y=πe+5sec xlog3x…

Q: Solve the following system of equations. 3x+4y = 4 6x+4y = 16

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Q: Step To sketch the graph of f(x) = 4x - x², first construct a table of values by evaluating the…

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Q: A vector with magnitude 9 points in a direction 160 degrees counterclockwise from the positive x…

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Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi - 2xzj+yzk; (9,-9, 9) curl F…

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Q: Find all values of c such that fis continuous on (-∞,). C= 7-2², a se - ذکر (smaller value) (larger…

A: Given query is to find the value of c so the function is continuous for the provided interval.

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: Graph the function showing all relative extreme points and inflection points. f(x)=√√√x6 + 4 ++ 2 3…

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Q: Write the vector shown above in component form. Vector = Note: In the graph, each box is 1 unit by 1…

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Q: explian how to get the domain, vertical asymptote, and end behavior of  h(x)=-log(3x-4)+6

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Q: Find the divergence of the vector field F at the given point. F(x, y, z) = xyzi + xz²j + 4yz²k; (3,…

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Q: Use Res(f(z), zo) lim (z-zo)f(z), Res (f(z), zo) = 2-20 to find the residue at each pole of the…

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Q: Determine whether the following equality is true or false. √32-x² ₁ f(x, y)dA = √ √₁xY where D =…

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Q: Find the indefinite integral by making a change of variables. 1 √ 4 + ²√2x² dx

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Q: Evaluate. limx---> 0 tan x - x/ x^3 show the steps in paper

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Q: The equation implicitly defines z as a function of t. Find dz dt +² 22 - sin (5 z) = -8

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Q: Khalil's Babysitting Earnings Khalil charges a constant hourly rate. When he babysits What does the…

A: We have to find the function that represents the amount.

Q: 4. Coffee at temperature 180°F is cooling in a room with constant temperature 75°F. If it takes for…

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Find the general solution of the given higher-order differential equation. y (4) - 2y" + y = 0 y(x)…

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Q: If z = 5x2 + y2 and (x, y) changes from (1, 2) to (0.95, 2.1), compare the values of Δz and dz.…

A: We have to compare the values of Δz and dz.

Q: Jse polar coordinates to describe the region shown. y -2 -1 1 1 2 Xx

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Q: cos x ln(x - *) *-+ In (e-e*) 6. lim

A: Topic:- limits calculus

Q: If F = Pi+Qj+ Rk, prove that div (curl F) = 0

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Q: Find the derivative of f (y) 30% In(y) Enclose arguments of functions, numerators, and denominators…

A: To find the derivative of the given function.

Q: Consider the following function. 1 f(x) = (x-4)² Determine whether f(x) approaches or - as x…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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