11. Find the slope of the tangent line t = 2. Show all your worka x = v2t, y =t %3D t

Q: Two linearly independent solutions of the differential equation y" + 6y' + 9y = 0 are Select one: yi…

A: characteristic polynomial  r2 + 6r + 9 =0 (r+3)2 =0 r = -3 solution of this eqaution is y(x) =…

Q: Question 9 of 10 q(x) = e" ln x Select the correct response. O e" In x - + eª ln x et +1

A:

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

A:

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

A:

Q: Let X be a random variable with mean u and variance o2, and suppose that its moment- generating…

A:

Q: Write the general equation for the circle that passes through the points: (0, 0) (6, 0) (0, - 8) You…

A:

Q: Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 7

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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: Question 7 of 10 f (x) = x – 6x² + 9x - 2 Select the correct response 2.x2 + 12x – 9 - 6x - 12 372 –…

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Q: Question 2 Find the intervals of concavity of the function g(x)= 3x4 – x3

A:

Q: p(x) = sin x cos x %3D Select the correct response: O tan x O cos r – sin? r 2 O sin? r - cos? a x –…

A: To find the derivative of given function.

Q: 2-Jx-3 b) lim 7-х

A: b) Let I=limx→72-x-37-x

Q: The region enclosed by y = va and y = x is rotated about the x-axis. Choose the integral that can be…

A:

Q: Consider the differential equation y" – 11y" + 28y' = 0 Write the auxiliary equation of the given…

A: Given a higher order differential equation.

Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

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

A: We have to find derivative of given function.

Q: 6. A square plate 3 ft on each side is submerged with the top side parallel to the surface, 5 ft…

A: This is a problem related to force exerting on square plate by water. Based on Archimedes principal…

Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

Q: d d alculate dt r:(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt ne product directly…

A:

Q: 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

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: The region is bounded by y=9-2x from y=0 to y=8 and x=0

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

A:

Q: A general equation of conic section is given as y + 4x? + 4(x – 2y) + k = 0. Determine the value/s…

A:

Q: B. Express each equation of the ellipse in standard form. Determine the equation and the length of…

A: We have to draw the ellipse.

Q: 12.) Find the area inside r = 4- 2cos(e) and outside r -6 + 2cos(e)

A:

Q: Using the algebraic technique (no graphs!) we learned in this unit, find the slope of the tangent to…

A: Given

Q: An object with an initial position of x(0) = 5 has a velocity of v(t) = sin 2t. %3D %3D What is its…

A: Given query is to find the position of the object at π.

Q: p(x) = sin x cOs x Select the correct response. O tan x O cos? r- sin? x ,2 COS" X O sin x - x cos²…

A: p(x) = sinx/cosx here if sinx*cosx then any of the answer is not possible so the question is  p(x) =…

Q: Question 10 of 10 sin x g(x) Select the correct response 1 Vx cos x 2x CoS x sin x - 1 VT cos x Va…

A: To find out the derivative of the function.

Q: Find equations for the tangent plane and the normal line at point Po (Xo.Yo.Zo) (1,2,0) on the…

A: Let,  ϕ=-8cosπx+3x2y+exz+5yz-15∇ϕ=i∂ϕ∂x+j∂ϕ∂y+k∂ϕ∂z…

Q: solve D.E (2+3) doe – 2aydy = 0

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Q: mlar

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Q: Compute ||A|| ||A|l, and ||A|l 2 8 A = 35 %3D

A: Given

Q: FinD THE arza BOUNDED By THE CURVES : y° +y +Z %3D

A:

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

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin () h(2) = L, (cos…

A: Use part I of the Fundamental Theorem of Calculus to find the derivative of

Q: 1. For the shaded region shown, determine the following using vertical strip: 5 a. Area x= 2y - 3 4…

A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: Find the length of the minor axis of the equation 4x 2 + 3y 2 - 32x + 12y + 64 = 0. 2√3 4 2√(11)

A: Ellipse

Q: N= N, - 0.2 t ,e

A: To find dN/dt for the followingN=N0e-0.2t

Q: Find the limit. lim (t i – 3 j + r² k)

A:

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: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

A:

Q: Ella is building a chicken coop. The area of the chicken coop is 40 square feet. Each chicken needs…

A:

Q: 4. Find the absolute extrema of the function f(r, y) = ry-I-3y on with vertices (0,0), (0, 4), and…

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Q: Evaluate the integral dx (6х + 5)? y making the appropriate substitution: u = dx (6x + 5)2 II

A: Given query is to find the integral.

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

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Q: Tokio tracks the monthly balance of her investment in a newly opened bank in Palawan. Refer to the…

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Q: 1 The series k=1 10n converges. True False

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Q: 6. Let u = (1, 0, 2) and v = (2, -2, 1). 6.1. Determine 2 u-3 v in component form. 6.2. Find a unit…

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Q: III. Evaluate 4 - x -dx. V16 – x2

A: