What is the rectangular form of the parametric equations? z(t)=t-3, y(t) = 2t2-1, where t is on the interval [-2,2]. Enter your answer, in standard form, by filling in the boxes. y = where x is on the interval

Q: Set up the double integral that will find the volume of a solid bounded by z = 1-y²-2² and the ry-…

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Q: DIFFERENTIAL EQUATIONS (Please answer ASAP. Solutions only. No long explanation needed. Rate will be…

A: To solve the differential equation.

Q: Let V₁, V₂. and v3 be vectors in a vector space V, and let T:V→→ R³ be a linear transformation for…

A: Given :T(v1)=(1,-1,2)T(v2)=(0,3,2)T(v3)=(-3,1,2)

Q: Use double integration to find the volume of the solid bounded = 11 - x. by the cylinder x² + y² =…

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Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

A: I have just use the methods and easily find the all solutions. Main solutions are in the boxes.

Q: 4. Evaluate 12x+1 dx 5. Evaluate dx x 6. Evaluate 3x -¹ dx

A: Let's solve given integral.

Q: Please check the numbers again. You have used 3/8 in the above equation. Euqation is 3/2.   I…

A: ∫sec2u du = tan(u)+C

Q: Consider the following families of sets indexed by the set of natural numbers. i which among these…

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Q: Solve the given differential equation. All solutions should be found. (3y² + 2xy) dx − (2xy + x²) dy…

A: A detailed solution is given below.

Q: 4x Compute the values of dy and Ay for the function y = e + 3x given x = 0 and Ax = dx = 0.02. Round…

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Q: Consider the following. '6 dt Jo 36 + t² Let t = 6 tan(0) and determine the following.

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Q: Find the CP of the following and classify it using FDT and SDT y = 2x^3 +9x^2-13

A: Find out the critical point and also classify it using the first derivative test and second…

Q: y = 4x² from x = -3 to x = 3.

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Q: A Norman window is in the shape of a rectangle surmounted by a semi-circle. 38. Which of the…

A: We are allow to solve one question at a time.if you need rest of solution please upload it…

Q: Consider the basis S - (V₁, V₂) for R², where v₁ - (1, 1) and v₂ - (1, 0), and let T:R² R² be the…

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Q: Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2--2,3-4, and A4--4. Use the following method to…

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Q: Use integration by parts to find the integral. (7x-3) e-2x dx -2x dx = (7x-3) e

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Q: s] Set up only an iterated double integral that gives the volume of the solid enclosed above by the…

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Q: If a set S has both a minimum and a maximum, then S is closed.

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Q: QUESTION 2 Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

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Q: Solve for y at x=2: (x5 + 3y) dx - x dy=0; x=1, y=2

A: Rewrite the differential equation in standard form and solve it

Q: In f(x) dx = F(x). F(x) is called the

A: follow the procedure given below.

Q: 1. Given the region bounded by the following functions as well as the x-axis: y= 2²/1₂ ² x= x = 4…

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Q: I 2. Suppose that z is a function of r and y, and F(x2 - y², ry - 2², yz - 2²) = 0. Calculate and…

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Q: Integrate. Simc 1 In (6x) dx

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Q: Evaluate the double integral: Y C C 7²41 de x7+1 y¹/3 (Hint: Change the order of integration to dy…

A: We will first change the limit of the integration then solve the Integral.

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We have to set up the integral for volume.

Q: Find all values of x in the domain F such that F’(x) does not exist. B.Find the critical numbers of…

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Q: Find the area between the curves f(x) = −x² + 4x and g(x) = x² - 6x + 8.

A: Basic identities of integration are used

Q: solve by differential √226

A: To solve by using differential.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) COS(π/X9) dx x10 Need…

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Q: Consider the function f(x) = 4 − 4x², −5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

A: Consider the function fx=4-4x2, -5≤x≤1.To determine the absolute maximum and the absolute minimum…

Q: (3x²2y²)y' = 2xy,when x = 0, y = -1

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Q: The graph of y g() is shown below. The areas trapped between the curve and the x-axis are given…

A: Here is the solution

Q: - show that V(x,y) = x 'f (2x+y)

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Q: Gi‎ven: ∫ 40∫ 4−z0∫ 2√y f (x, y, z) dx dy dz a. Sk‎etch the so‎lid of integr‎ation of the give‎n…

A: Let's solve.  1.   Sketch the solid.

Q: Find the length of the entire perimeter of the region inside r = 18 sin but outside r = 3.

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Q: The region trapped between y 4x - 2x² and y 2x² - 1³ = y= 4х-2х² у=2х2-х3 a) Set up the integral…

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Q: Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

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Q: अ 250 -x5/2 - 2x³/2 + +बेकर 9 x³ - 2x² + x − 1 -

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: show that V(x,y) = x 'f (2x+y) is the general Solution of 9 dv X du 2x = V dx 1 ay

A: Given: V(x, y)=xf(2x+y) Find: the general solution of Xdv/dx - 2XdV/dy= V

Q: The region trapped between y = 4x - 2x² and y 4x-2x² - 2x² - ³ is shown below. a) Set up the…

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Q: Determine the maximum, minimum or inflection point of 6x f(x) = +3 max (1,4), min (0,0), inflection…

A: Let's find minimum,maximum and inflection point of given function.

Q: Compute n Σ₁ tan(kx) tan((k+1)x) k=1 tan(nx) O a. + (n + 1) tan x b. tan((n+1)x) + tan x − (n +…

A: Trigonometric series

Q: Evaluate y' y = cosh²12x +sinh²6x

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 — 11x)y², y (0) = 9…

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Q: Find the area bounded by the given curves Show the graph (you can use any graphing software, e.g.,…

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Q: • show that ф (x, y, z) = 8²4 PDE: аф + дуг дуг x2 +у2 +Z2 го деф ?72 satisfies the

A: The given function is;  Phi(x,y,z)=1/sqrt(x2+y2+z2).

Q: Evaluate y' y = cosh²12x +sinh²6x

A: To find out the derivative.

Q: A rocket is fired vertically upward from the ground. The distances in feet that the rocket travels…

A: Given :s(t)=-17t2+469t