Find the Cartesian coordinates of the following points (given in polar coordinates). a. (1,0) b. (-1,π) 2π c. 6. 3 7T

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = -6x²-3x - 2 on the…

A: Solution-

Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 4, 4) is twice…

A:

Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

Q: Find the Laplace Transform of the following functions

A: Laplace Transform of function cos3t

Q: t(0-28 m/s) (x) (400m) (x) Candidate Car model (x) 1994 Ford SVT Boss Mustang 10.0L Concept 1.9…

A: We need to find acceleration.

Q: E Eo A formula for calculating the magnitude of an earthquake is M = log that uses the common (base…

A:

Q: Q1): Prove that: A square matrix B has inverse if and only if determinant of B is not equal zero.

A:

Q: 6 Consider the three by three system of linear equations 2x + Y + + 2y + 2z 5z 12. We will solve…

A:

Q: 0 x cos nx dx X

A: Topic: Definite integral

Q: [CLO-2] Find the derivative of 5 cosx f (x) = 4 sinx+3 O 21 – 6 cosx O ( 7 cosx+2)2 6 – 10 cosx (3…

A: Given:         fx=5cosx4sinx+3   Differentiating on both sides       f'x=ddx5cosx4sinx+3 Taking…

Q: 6. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b)…

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Q: Y y=√√√1-x² x Show that the volume under the surface z = 5x²y over the half of the unit above the…

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Q: [CLO-2] Evaluate the Indefinite integral by using the substitution rule. S√tan (x) sec²(x) dx…

A:

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=-3x²-3xy-8y²…

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

Q: 1. If f(x) = 5x4 - 6x² + 4x - 2 find f'(x) and f'(2).

A:

Q: aw Given w=xysin(z²), x=s-t, y=s², z t². Find www ax = ysin z² Option 1 aw əx Option 3 = -ysin z² Əw…

A: In partial derivative with respect to x, the terms of y and z are treated as constant.

Q: Find the general solution of nx dx = (x + 1)² ylnx

A:

Q: 2 3s +9 Option 4 Option 2 Option 3 -3t e co 2 3 23 e 3 -St None of the choices 3 -3t 2 Option 1 e

A: Given :L-123s+9

Q: {CLO-2} Find all vertical asymptotes of f(x). 4x f(x) = 4-x² Determine whether f(x)→∞ or f(x)→→∞ on…

A: Let's find given function asymptotes.

Q: {CLO-3} The function f(x)=2x4-4x² has a local maximum at x=-1; and a local minimum at x=0 has no…

A: Topic:- application of derivatives

Q: dy : y4 — e²xy³ = 2 sin(x + 3y). dx cos(x+3y) + y²e2xy³ 2y³ +3[cos(x+3y) + xy²e²xy3] cos(x+3y) +…

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Q: 3. LLa (x + 2y) dy dx

A:

Q: gh (2,-5), parallel to y= 2x+4

A:

Q: The population of a small city is 90,000. 1. Find the population in 20 years if the city grows at an…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Q1): Prove that: A square matrix B has inverse if and only determinant of B is not equal zero.

A:

Q: 8. Evaluate 2 (9x² - 10x + 6)dx

A:

Q: Evaluate the following integrals: O •(Cartesian to Polar) Given the Cartesian coordinate, find FOUR…

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Q: For numbers consider a plane bounded by the curve y = 4-x² and the x-axis. Which of the following…

A:

Q: Find the value of the following mplicit derivative tan y-sec x=5 find...y'

A: Given query is to find the derivative of the expression.

Q: The area between the curve y=x2, the y-axis and the lines y=0 and y=2 is rotated about the y-axis.…

A:

Q: Get the second and third derivative of function: y'= 3x^2y^2

A:

Q: Given R(t) = 4 costi + (1+ 3cost)j +5sintk. Find T(t). T(t) = -sin ti -sintj + costk Option 1 3 4 5…

A:

Q: {CLO-2} Find the linear approximation, L(x), to f(x) at x = xo . f(x)=√10x+9, x = 0 O 10 L(x)=x+3…

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Q: What are the rectangular coordinates of the point whose spherical coordinates are (1,,)? x = 0 y = z…

A:

Q: M8 ทะเ (23 - +3 1 k +4

A: ∑k=1∞ 1k+3-1k+4

Q: 5s +4 83 None of the Choices. Option 1 5t + 2t³ 5t - 2t³ Option 2 Option 3 Option 4 2t + 5t³ 2t -…

A: Let's find inverse laplace of given  function.

Q: 3. LL₁a+ (x + 2y) dy dx

A:

Q: The region bounded by the ellipse 16x^2 + 9y^2 = 144 is revolved about the x-axis. Find the volume…

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Q: General solution of (ylny − e¯xy)dx + (² + xlny) dy = 0

A: Let's solve given diffrential equation.

Q: How to solve dx = 2dy = -2dz.

A:

Q: Given the function y = 8e-²x² + 7 sec² 5x – 4 ln x³, find y'. Solution: y' = 4(3)x² x³3 +8(−4x)e-²x²…

A: We will find the y' of the given function in the following step.

Q: 3. Find y' and the equation of the tangent line to the graph of In(ay) = y²-1 at (1,1). 11: 11:

A: We have to find y' and equation of tangent

Q: Syy-mat sama dy ³

A: Follow the procedure given below.

Q: 2) Find the average value of the function f(x, y) = 6x + 4y over the plane region R. defined by the…

A:

Q: Given the following functions: Find: f(j(x)) f(x) = 3x² - 5x + 2 g(x) = 7x² + 3x – 1 2x - 7 h(x) 5x…

A:

Q: Question : evaluate the following iterated integrals CLE dy dx

A: In the given iterated integral first we integrate with respect to 'y' and after putting limit of 'y'…

Q: In(x²y)- ez-tan"¹ z. Assuming that z is a differentiable function of x and y. Let F(x,y,z) Find F.…

A:

Q: Given z *- Find Z*** www.xy. www Option 1 Zxx = -2x³ Zxx = -2x-3 Option 3 Zxx = 2x 3 Option 2 none…

A: Given

Q: Compute the general solution to the second order linear non-homogeneous differential equation: d²y…

A: Given differential equation, d²y/dx²-2dy/dx=8sin2x Corresponding homogeneous equation, (D²-2D)y=0…