dy Suppose 2e-2r and y(1) = 4. dx What is y(2)? O 3.117 O 3.567 O 4.117 O 4.135

Q: Question 10 of 10 sin x g(x) = Select the correct response 1 /x cos x 2x cos x sin x - O Va cos x 1…

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A: Solving

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (7t + 6)i + tj, 0st<1

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A: Follow the procedure given below.

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Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

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Q: y= 2*+☆ -3 sec x; find dy

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Q: 1. Eliminate the parameter to find a Cartesian equation of the curve given parametrically by (x(t),…

A: Recall: sin2t+cos2t=1

Q: 2x4 h(x). 5x3 + 6 Select the correct response:

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Q: log54 (x) can be a negative irrational number. Select one: O True O False

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1 lim t-+0\ 9t2 + 10' t (?, ?)

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Q: Identify the conic section 9a2 – 16y? – 36æ – 96y = 252 | - Parabola Hyperbola Ellipse What are the…

A: The genreral equation of conic section Ax2+By2+Cx+Dy+F=0if A=B≠0  then it is circleif A≠B and…

Q: Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i+11 sin(t)j + tk; t= T N || ミ|N ミ|N

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Q: Find an equation for an ellipse with foci (+12,0) and vertices at (±13,0).

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Q: Question 5 of 10 r(x) = cot2(3x2 + 1) Select the correct response -6x2 csc(3.r2 + 1) cot (3.x + 1)…

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Q: Compute the composite functions f∘g and g∘f and discuss their domains, where f (x) =√x, g(x) = 1 –…

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Q: Question 1 Use the First Derivative Test to find the local maximum and minimum values of the…

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Q: Question 8 of 10 v(x) = 4 cos(sin(3x)) Select the correct response: - 12 sin(3.r) cos²(3x) cos²(3.r)…

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Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by…

A: Let's find.

Q: اسدمل Find the akeaf fak the faltowing regions Area enclosed by the diagram V= Sin 3

A: Area

Q: 1 Write step-by-step solutions and justify your answers. (1) Solve the initial-value problem 3"…

A: 1)y"+y'-6y=0Auxiliary equation is;D2+D-6=0(D+3)(D-2)=0D=-3, 2Roots are real and distinct.Hence, the…

Q: Evaluate the following double integral 3 a) Evaluate S T 8xy dxdy=? 0, b) Evaluate the following…

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Q: Find dy/dx: а. y = cos t dt

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Q: Use Ay f '(x)Ax to find a decimal approximation of the radical e V10 What is the value found using…

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Q: Consider the following functions. f(x) = 6x – 5, g(x) = !! 3. Find (Fo g)(x). Find the domain of (Fo…

A: f(x)=6x-5  , g(x)=x3Consider(f∘g)(x)=f(g(x))             =f(x3)             =6x3-5…

Q: REPEAT

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Q: The best substitution to use for the integral sin z V1+ cos z dx

A: when we substitute, u = 1 + cosx then the value of du = - sinx dx

Q: 4 - x -dx. 16 – x2 III. Evaluate

A: Solving

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A: To find the equation of circle passing through three given points.

Q: The functions yi = e linearly independent solutions of the homogeneous differential equation x and…

A: Two solutions of a differential equation is said to be linearly independent iff their wronskian is…

Q: S Evaluate L-'{- | (s² + 144)(s – 8)

A: We have to evaluate  L-1ss2+144 s-8.   We know that L-1ss2+a2 = cosa·t L-11s2+a2 = 1a·sina·t L-11s-a…

Q: Determine whether the result of the given integral is true or false I| dxdydz = 96. 0, -4 Select…

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Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: A detailed solution is given below.

Q: dy Differentiate implicitly to find Then find the slope of the curve at the given point. dx xy-3x-8=…

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Q: Solve the initial plem - 6v + 25y = 0. v(0) = 2.

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Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

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Q: Match the possible graph for the function f with the specified properties: (i) the domain of ƒ is…

A: The function has properties,(i) the domain of f is -5,5(ii) f-5=f0=f5=5(iii)…

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Q: Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1) You…

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Q: The best method for finding the antiderivative of / V5 – x²dxis | integration by parts algebraic…

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Q: 18 4. Determine the equation of the tangent to g(x) = at the point (1,2). (x+2)2

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Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: Write the radius of the circle x 2 + y 2 = 5 25 √5 5

A: General equation of circle is given by  (x-h)2+(y-k)2=r2  Where (h,k) is the circle and r is the…

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Q: Consider the hyperbola Qu 144y + 864y - 25x – 50z = 2329 Qu Qu What are the vertices of this…

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Q: Area bounded by the curves y=e*, y=e", x=0 and x=In2 (A) 604/9 B) 304/7 304/14 (D 502/9

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Q: Solve the initial value problem y" - 8y' +52y = 0, y(0) = 1, y'(0) = -3. %3D

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