Match each of the following parametric Equations with a plane curve : x(t) = - 3t y(t) = 1 - 9t² TER x(t) = -2 + 7cos(t) y(t) = 4sin(t) t = [0, 2π] x(t) = 1 + 2cos(t) y(t) = 2sin(t) t = [0, 2π] 1. Ellipse 2. Circle 3. Parabola Opens Down 4. Parabola Opens Up

Q: Which is the center and radius of the circle given by the equation, x² + y² - 6x 10y + 11 = 0?

A: The answer as follows:

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A: Solution : Given that

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A: Given that,

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Q: ← + New ▶ LO (F ☆ 0 Screenshot (1907).png 2011- Files Find the Wronskian of two the functions y₁ =…

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Q: the answer is wrong

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Q: 5. Find (In 3) for a solution (y + x² e) dx - xdy = 0; y(ln 2) = 0 (x) to the initial value problem…

A: The given equation is; (y+x2ex)dx-xdy=0; y(ln 2)=0

Q: Question Use an appropriate linear approximation to estimate √48.95. (Round your answer to three…

A: Given data÷ Use linear approximation to estimate 48.95 Since 49=7 is easy to compute and 49 is close…

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Q: curl(9z i+ 10x j + 4y k). (9z i+ 10x j+ 4y k) = ( i Textbook and Modia )i + (i )j + (i

A: To find out the curl of the given vector.

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Q: Question Use an appropriate linear approximation to estimate √8.95. (Round your answer to three…

A: Concept: Linear approximation: The definition of a linear approximation of a function is simply…

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A: To find out the curvature of C.

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Q: 4. an = 6n 5. a = 6. 2n+2 a = (-2)n-2n

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Q: 2. Which of the following is not a unit vector? A. (0-2) 0. √5 √5 B. (cos 1, sin 1, 0) C. (1, 1, 1)

A: A vector v whose magnitude is 1 is called a unit vector. A vector v whose magnitude is any positive…

Q: a) z=x² In (x y²) b) z=4 cos(x-3y)

A: As we know that; The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Chain rule:…

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Q: 1. Calculate the following unknown quantities. (a) P= (kx 1000), r= 1.2%, t= Find S.

A: As per the rules we can answer only first question and rest can be reposted.

Q: Given: f(t) = 8 sin23t. Evaluate: F(1) Use 2 decimal places.

A: f(t) = 8 sin23t.

Q: 20 29t2 +42t represents the position function for a particle moving The function s(t) = along a line…

A: The given function is: s(t)=203t3-29t2+42t  where t∈0, 6 v(t)=d(s(t))dt=d203t3-29t2+42tdt=20t2…

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Q: Given: F(s) = (2s+3)/(s² -2s +5). Evaluate: f(1) Use 2 decimal places. 5.67

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Q: لما D the double integral of f(x, y) over D is f(x, y)dxdy = ubmit Question

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

A: Given initial value problem is : y'=(1-11x)y2,   y(0)=-14

Q: Question 9 of 20 View Policies Show Attempt History Your Answer Correct Answer Correct. Solve the…

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Q: Use an appropriate linear approximation to estimate (Round your answer to three decimal places.)…

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Q: Find the area inside the oval limaçon r = 6 + sin 0.

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Q: prove that the function f(x) = e¯* sin(x) satisfies the е differential equation ƒ (x) + ƒ'(x) = e¯ª…

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Q: State the order of the given ordinary differential equation. (1-x)y" - 9xy' + 2y = cos x Determine…

A: The objective of the question is determine the order and check the linearity.

Q: Find the limit lim x →∞ √1+ 2x + 9x² -2x + 5

A: This question is related to limits, we will solve it using given information.

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral Lif(t)}…

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A: Let's solve.

Q: Use graphs to evaluate 2π S 2r S 0 sin x dx = cos x dx = 2t S 0 2π sin x dx and cos x dx. 0

A: We will find the required.

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Q: Answer true or false. The function f(t) = (et) 10 is of exponential order. O True O False

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Q: Describe the graph of the equation. r = 18 sin 27 i+ 18 cos 2t j It is a circle of radius 18 in the…

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Q: Given tha

A: Given :  g(x)=2x+10x≤-3x2-5x>-3   for the function to be continuous

Q: 11 described. • f'(2)=0 Use the given conditions to sketch a possible graph of the function f(x)…

A: Given: f(2)=-3 f'(2)=0 f'(x)>0 if x<2 f'(x)0 if x>2 f''(x)<0 for all x Since f'(x)>0…

Q: Evaluate the surface integral s G(r) dA, G(r) = x+y+z, S: z=2x-y, 0 ≤ y ≤ 1, 0 ≤ x ≤ y

A: Given:    Gr=x+y+z,    S: z=2x-y       0≤y≤1, 0≤x≤y Substitute z=2x-y in Gr     Gr=x+y+2x-y…