2. Convert (-V3,) to rectangular form.

Q: Audrey Aden Find polar coordinates to represent (-2, -2) with r >0 and 0 <0 < 2T. Find polar…

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Q: dx If the derivative dy (instead of 2) exists at a point and = 0, then the tangent line at that…

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Q: dy 3y- + 4x = 0 dx

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Q: Let Sx² + 3 f(x) = l(x - 2)2 if x 2 1° if x < 1 (a) Find the following limits. (If an answer does…

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Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t=0 %3D 1 1 1 T(0) %3D V3…

A: Let's find.

Q: This equation is an example for linear equations dy dx False O True O

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Q: 15. The solution of Laplace equation и + 3 0, и(х,0) — 0, и(х, п) — 0, и (о, у) — 0, и(0, у) %— 3sin…

A: Please see the below picture for detailed solution.

Q: Set up an integral for the length of the curve. x = y2 + 6y, 0 s ys 6 OS Vay2. 37 dy OS Vay2+ 12y +…

A: We have to find out length

Q: The future value at 5.25% interest, compounded continuously for 7 years, of the continuous income…

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Q: Using the appropriate characteristic equation A = [3 0 8 1] all eigenvalues ​​of the matrix Find.

A: The characteristic equation: The characteristic equation, often known as the characteristic…

Q: Find the domain of the rational function. x-5 f (x) = x+8 Enter your answer in interval notation.

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Q: 2 (b). y = (x – 3) VT. Determine the intervals of decrease and increase of the function

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Q: xe-4xdx

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Q: Find the differential dy of the given function. Xx + 5 y = 2х — 9

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Q: Find the exact area of the surface generated when the curve f (x) = /5 – x on the interval 3 <x < 5…

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Q: y= fix) 16 01 16 32 48 64

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Q: Use the Laws of Logarithms to expand the expression. 4x7 In (x + 3)8

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Q: How to identify if the problem is integration resulting to inverse trigo. or trigo. substitution.…

A: To give an example of the integration where trigonometric substitution is possible.

Q: circumference C of a circle is a function of its radius given by C (r) = 2r. xpress the radius of a…

A: Topic:- function

Q: Se* tant e*dx

A: This question can be solved using the concept of indefinite integral.

Q: Consider the following affirmations: ) The sum of three prime numbers is an odd number. ii) The…

A: A number  greater than 1 and is divisible by itself and 1 is called prime number. Example of prime…

Q: 10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

A: answer is in next step

Q: A variable force of 6x−2 pounds move an object along a straight line when it is x feet from the…

A: Given: Force that moves the object along straight line is 6x-2, when the object is x feet from the…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 00 5 n! -1)". 11 18…

A: We have to find out convergence test

Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) If y" +y = 2x…

A: We have to answer following Questions.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Plot the point whose polar coordinates are -3, In the graph below, use the 4. options to change the…

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Q: 1. The line segment from (1, –1,3) to (0, –3,1) forms a diameter of the sphere S1. Find the…

A: Given problem:- The line segment from (1,-1, 3) to (0, -3,1) forms a diameter of the sphere S₁. Find…

Q: 6. For each function determine: i) the critical values ii) the intervals of increasing or decreasing…

A: Given problem:- f(x) = x3 - 9x2 + 24x - 10 To find:- i) the critical values   ii) the intervals of…

Q: Let g(t) = 4t dæ a) Evaluate d 4t dx = dt b) Evaluate d dt c) Evaluate gʻ(t) =

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Q: You are given the integral 64x2 - 81 dr. I = 6x In order to compute this integral, we may attack…

A: To find out the integration.

Q: rd order st order C

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Q: 15. ſ sin² 3t cos 3t dt

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Q: 00 dz Either show that the improper integral converges and find its value, or show that it diverges…

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Q: Evaluate the integral. xp S

A: Given,  ∫ x4x5+4dx

Q: * This equation is an example for linear equations dy y + dx = x²e* False O True O

A: To determine whether the given statement is True or False.This equation is an example for linear…

Q: Find the 8th term, ag, for the sequence. an = - 9n +6 %3D

A: Given :an=-9n+6

Q: This equation s . .differential equation dy y2 .2 dx ху Bernoulli Separable Homogenous Linear

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Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

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Q: Solve the equation .11 y" + 3y' + 2y = x2

A: We can solve the given differential equation by using the method of undetermined coefficients.

Q: A wedding planner provides a Momento for each gas the Momento is a 1.5 ounce container of mints…

A: Unitary method: The unitary technique involves determining the value of a single unit and…

Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

A: This question can be solved using the concept of differential equation and arbitrary constant.

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at æ = 7 for f(x) = 1+z T2(x) must be of…

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Q: (x+3)° 3. Use logarithmic diffrentiation to find the derivative of y' =- (1+2}(r+4}

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Q: find dy/dx by implicit differentiation is 3y^2-xy=10

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Q: Find the inverse of the function. f (x) x+5 x+12

A: Inverse of function

Q: Show that the lines L1 : x =1- t, y = 2t, z = 4+t and L2 : x = 1+ 3t, y = 3 – 6t, z = 5 – 3t are…

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Q: Let 7. B(t) = ift < 2 - Vt+c ift 2 2. Find the value of c so that lim B(t) exists. t+2

A: This question is based on limits.

Q: If Væ + Vỹ = 9 and y(1) = 64, find y'(1) by implicit differentiation.

A: Solve the following