Solve the system of equations for the intersections of the two curves ( 62² + 3y? = 132 l7y? – 2? = 248 List the coordinates of the intersection points.

Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find T'(t).

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Q: Assuming that z is a differentiable function of x and y, Let F(x,y.2) = In(x?y) – e" - tan-1z. Find ...

A: topic - partial derivative of a function

Q: cos(x + y), when x = 0,y = dx

A: Follow the procedure given below.

Q: the integral S(x³ – 2x – 1)e-*+1dx is equal to:

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Q: 9. k(x) = 3(x- 1)-

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: A company plans to manufacture a rectangular container with a square base, an open top, and a volume...

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Q: Using appropriate substitution, .3 1 the integral J1 x(3+ln(2x))² dx is equal to: 3+ln 6 3+ln 2 3+ln...

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Q: For positive numbers a and b, the interval 0 < x < 6 Find the maximum value of the function f(x) = x...

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Q: Convert the Cartesian coordinate (– 5, 2) to polar coordinates, – 27 0. No decimal entries and answ...

A: The given point -5,2

Q: Siven w = xysin(z*), x=st y =s², zt². Use the Chain Rule to find - ysin z + 4txyzcos z *-- ysin z + ...

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Q: Given R(t) = 4 cos ti + (1+ 3cost)j + 5sintk. Find B(t) att = B() =- 3 B(5) =+ 3 4 B(t) 5 k Option 1...

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Q: 3 y2 + yi = 1, when x = 0, y = 4 %3|

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Q: Test for convergence or divergence, using one of the tests listed below. n(n + 2) O converges O dive...

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Q: Problem 6. (The cross product project). The cross product for vectors in V is not associative, so so...

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Q: B) solve the to olloWiH 1 1. find (f0 g) if f(x) = 1+x2 and g 3-x 2. find domain and range x2 +2 %3D...

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Q: F(x) = 4-tan(x) / 1-x^2 find the derivative

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

A: First I have written Ratio test, then use it to the given series and find that series CONVERGES.

Q: Given the following matrices: -11 a) A = , 01 5 -1.3 7.4 b) B =5 2.5 -3.9] -31 c) C = [ 6.

A: NOTE: As per our guidelines, I have solved three parts. If you want the answer of other, kindly post...

Q: 1 dy 3 yz-+ y7 = 1, when x = 0, y = 3 dx

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Q: 13 A small funnel in the shape of a cone is being emptied of fluid at the rate of 15 cubic centimet...

A: Let's find. 

Q: +oo El-1)» (" – n)" 2" n=1

A: The given series to be tested is  ∑n=1+∞-1nπn-nn2n.   Here, we will use the Root Test: If series ∑n=...

Q: (2a+y)dz + (a'y– a) dy = 0 %3D

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Let's find. 

Q: Find the time at which the brine leavir

A: Follow the procedure given below.

Q: Your are driving away from Toledo. Your distance (in miles) away from Toledo x hours after 12:00 noo...

A: We will find the maximum distance north of your home that you reach during the trip as following.   ...

Q: Solve the equation. Show your work on a separate paper and be sure to check your solutions. |2r– 1|=...

A: Here we will solve the given equation with check,

Q: dy yz + yi = 1 when x = 0, y = 4 dx

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Q: 6. Equation of the line that passes through (-5, -8) and is perpendicular to the line: 3x-9y =7.

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Q: Solve the following differential equation:  xdx+ydy=(x2+y2)dx (2x2+y)dx+(x2y-x)dy=0 (xy2+x2)dy+ydx=...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: Consider the curve, y with parameter (, and function f in 3 dimensional Euclidean space with coordin...

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Q: QUESTION 10 Suppose the graph of f(x) =r2 is reflected across the x-axis and shifted to the left 6 u...

A: Given:  f(x) = x2 

Q: a sin a + In v ) da + tan adv = 0 cos a (In v)(sin a) = v cos a – sin a + C In v = a cot a – 1 + C(A...

A: The solution is given in the next steps.

Q: 2. (s-s?-t)ds + (t + s² +t ²)dt = 0

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Q: The height (feet) of an object launched in the air t seconds after launch is given by s = - 16t + 28...

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Q: Q6/ Calculate mean, variance and standard deviation of following table: classes frequency 1-10 11 10...

A: To calculate mean, variance and standard deviation of the following table. classes frequency 1-...

Q: The derivative of the function y = x(tan-(3x))? is: Lan"as (1n)tan a the above the above tan"oa + (1...

A: This question is based on chain rule differentiation.

Q: a) lim f(x) y b) lim f(x) 8 c) lim f(x) d) lim f(x) e) lim f(x) 2 ) lim f(x) -10 -8 -6 -2 0 2 -2 00 ...

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Q: 2x+3 (1) Find the domain of the function H(x) = x' - 4x (2) Solve the following (i) |10–3x|517 (ii) ...

A: Topic = Functions

Q: Solve Differntial Equation: Show Solution and Details a. (w2 - z2 - 4z - 1) dw + 2w (z + w + 2) dz...

A: Note :- These are multiple questions and according to our company guideline we can do maximum one qu...

Q: Sketch the region enclosed by the curves/lines x=y, y=1/x, y=3 and find its area.

A: Given; x=y, y=1x, y=3   First, we have to find the point of intersection between the curve y=1x and ...

Q: 2. Use the function h(x): a. Use a calculator to graph h(x). Make sure you have a window that is lar...

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Q: yi+ yž = 1, when x = 0, y = 4 %3D %3D

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Q: +00 e n Σ (x + 4)"- n! n=1

A: The given power series,       ∑n=1+∞enn!x+4n

Q: Evaluate by any applicable method. Si VVæ – 1 dæ 15 32 8 15 32 15 None of the choices. Please refer ...

A: Topic = Integration

Q: 1. (Rew Echelon and Reduced Ro w Echelon Form). Which of the folowing matrices are in row echelon (R...

A: Note: A matrix is in row echelon form (RE) if it satisfies the following three properties:1. All non...

Q: Determine Cif u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du %3D 0

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Q: the integral , dx is equal to: -2 x2+4x+5 4 2 the above the above

A: We will find the solution of the integral. 

Q: Find the derivative of y = = Ve-5t +1 dy dt ||

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Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 13 cubic centimeters ...

A: topic - application of derivatives

Q: dy cos(x + y), when x = 0,y = %3D dx 4

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