The equation represents Select one: x² + y² + z² + 6z = 4x + 12 a sphere with center(-2, 0, 3) and radius 25. a sphere with center(2, 0, -3) and radius 25. a sphere with center(2, 0, -3) and radius 5. a sphere with center(-2, 0, 3) and radius 5. None of them

Q: Using implicit differentiation, find dy dx √xy = − 1 + xy

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Q: Find the distance from the point (3,-7,-1) to the plane -x + 5y + 2z = 34.

A: Here is the solution:

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Q: Q3) Find the volume of the solid generated by revolving region bounded by the curve (y=e* ) & the…

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

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Q: Find a plane through the points (-7,7,-3), (1,-7,-8), (-2,-1,3)

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A: We have to find area for given curves.

Q: :.S •√ √x(x² – 3x + 2)dx

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Q: Q21 Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: we need to tell whether given statements are true or not

Q: K(r)= er tre k' = d (e^) + d dr " er + dr - (re) Help with this derivative

A: Topic = Derivative

Q: 1.ſ(8x³ − 6x² + 12x − - -9)dx

A: Solve the integration

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A: Solve the integration

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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.

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Q: Consider the function f : [-1, √10] → R defined by { 10 8 6 T 2 0 -1 f(x) = r², r>2; x≤ 2. I Answer…

A: Disclamier: Since you have posted multiple a question with multiple sub- parts , we will solve first…

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A: We have to given volume of sphere in term of r

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1. If y = sin x² x =²), ex find dy dx

A: Given y=sinx2-xex To find dydx

Q: - If f(x, y) = cos(2x) − x² e5y + 3y², then f xy = -10x e5y True O False O

A: I have stated the used formulas in the solution.

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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: 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: •SCOS'E TIFLAME Cos² tant 24. Sa sec²t Cos² t√u и dt du u= It tant du sec²t dt = J dt = Sec²t what…

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Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

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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: Find the slope of the tangent line to the parametric curve [x = 4 cos(t) y = 3 sin(t) at the point

A: A detailed solution is given below.

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - Z = z…

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Q: Consider the differential equation x2y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that…

A: First change into linear ode with constant coefficient then solve

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. (Give…

A: Please see the below picture for detailed solution.

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A: ∫ln(x)xln(x)-xdx

Q: Verify that y = c₁ex + c₂e4x is a solution to the DE: y" - 5y + 4y = 0.

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

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A: We have to find solution of differential equation.

Q: Let à = i-5j - 2k. Find |āl.

A: Using the formula if  a→= x i^ +yj^ +zk^then a→=x2+y2+z2

Q: By using trapezoidal rule, n=2, The integral = π/2 sin (x) dx 0.9444 O 0.9481 O 0.94809 O 0.9482 O…

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Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

A: We have a given function g=3e^x cos(yz)

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Q: Given the points A(-8, 2, 3) and B(-8, 2,-4). a). Write parametric and symmetric equations of the…

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Q: Find the root's 51 of Complex equation:

A: Given:      5√(-1)

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Q: L sin2t cos3t

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A: The number is 1z2 where z=x+iy

Q: ·S In (x) √xln(x)-x =dx

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