H.W: Find f, f, and f, if f(x, y, z)= x - √y² + z² x=(x.x)\S xh + lis

Q: Find the value of y if x=2.5 from the set of points (0,5.5) and (5, 7.5)

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Q: consider the integral 1² +5) dx 3 x a) Riemann sum using right endpoints and n=4 b) Riemann sum…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Find the area enclosed by the loop of the curve y² = x (x - 1) ². Consider the attached graph.

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations:

A: We have to find the value of x, y,z from the given system of equation by the camer's rule.

Q: Evaluate the integral. 7/4 O O [(10sect)i-(3+ sin t)j - (2sec t tan t)k)]dt (2√√2-37-4 2 10i+ 10i +…

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Q: The particular solution (yp) of the equation y" - 3y' + 2y = 5 e* is yp = -5xex False True O

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Q: \(\) The vectors u= and V = are not orthogonal if and only if x=-136

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Q: Please solve the bottom question.

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Q: If the volume of the parallelepiped determined by the vectors A = i + ak, B = 8i - 5j + ak and C =…

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Q: The area enclosed by one petal of the polar curve r = cos20 is False True O

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Q: Evaluate the integral S√² - 4 + 3s ds = S√-4 - 4 + 3s ds.

A: The objective of the question is evaluate the indefinite integral.

Q: = Find the volume of the parallelepiped determined by the vectors a c = (2, 3, 1). Volume =…

A: The volume is given by scalar triple product of vectors.

Q: Drag and drop your answer into the box: (a) An antidervative of f(x) is (b) The indefinite integral…

A: Solving the question by finding the value of the problem.

Q: Find the volume of the solid whose base is a circle with radius 12 that has cross-sections…

A: Recall that the volume of a solid, if the cross-section is perpendicularto the x axis, and its area…

Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 b) Find the intersection of the line…

A: Question 3.The given points A-8,2,3 and B-8,2,-4.

Q: 2+3(4÷2)

A: Solving using BoDMAS rule

Q: Differentiate ex with respect to x, assuming that y is implicitly a function of x.

A: Here we have to use the concept of implicit derivative

Q: Question 2 Given the equation -4x² + 40x - 4y² - 32y - 4z² +24z = -200 ] Show that the given…

A: We find center and radius of the following sphere.…

Q: y' = x - 4xy

A: We have to find solution of differential equation.

Q: The geometric representation of the equation is a circle in R3. Select one: O True O False -3x²-3y²…

A: Given: -3x2-3y2=-18

Q: Which of the following point is the projection of the point (0,4, 2) on the yz-plane? Select one: O…

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Q: Given the series: 1 1+ + + 9 27 does this series converge or diverge? diverges converges 00 If the…

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Q: How would you define f(2) in order to make f continuous at 2? limx→2 x^3-8/x^2-4 show ALL of your…

A: Let's solve limit problem.

Q: SC₁+ Fuj³d₂ dn

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Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

Q: Y=(3x+4)² find dy/dx

A: Y=(3x+4)² find dy/dx

Q: plz provide answer for question asap

A: Please see the below picture for detailed solution.

Q: If S₁₁¹-² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the resulting of…

A: Let's solve double integral.

Q: The equation of plane through (3,-1,7) and perpendicular to the vector n(4,2,-5) is 4x + 2y5z-25 =…

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Q: Perform a first derivative test on the function f(x) = 2x³ + 3x² - 36x +4; [-3,5]. a. Locate the…

A: To find out the critical points, maximum and minimum and absolute maximum and minimum.

Q: INTEGRATION OF 1/1+TANX

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Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A: Using Laplace transform

Q: Given u x 7 = (-1,4, -2), find ( − 3v) × (u + 5v).

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Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

A: Solution is given below:

Q: Find the area of the surface obtained by rotating the curve about the x-axis. Select the correct…

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Q: Find the area enclosed by the curve x² + 8y + 16 =0, the x axis, they axis and the line x-4 = 0. A.…

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Q: Given L1 and L2 who's parametric equations are: Given. I).Show that L1 and L2 intersect at a…

A: Concept: The calculation of the angle between two lines in a three-dimensional space is comparable…

Q: Determine if the differential equation y'=x4y - 9x5y is separable, and if so, separate it. dy Yes,…

A: Take y common from RHS

Q: If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O…

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: L sin2t cos3t

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Q: In x dx

A: Solution:  Step_1  :       ∫ln x dx we will solve it by using integration by parts method.

Q: mx + + 1) (x+1)^ then value of m +n is (where n is a prime number) X-2 dx equals ex + C

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Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

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Q: Solve: y + 4y = x² + ex Yc=C1+C₂_ Type the letter corresponding to your answer. QUESTION 1 Yp = A +…

A: I am attaching image so that you understand each and every step.

Q: 0 = ^pz(Az + x) xpxx

A: Let's solve given diffrential equation.

Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R². Select…

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Q: If √√√1-y² the resulting of integral is x² + y² dxdy is changed to equivalent integral in polar…

A: if we change Cartesian coordinate to polar coordinates then  we write - X = rcos(theta) Y =…