Find equation of tangent line y=-6-2x - 3x² at (1,-11)

Q: 4. Find parametric equations of a line passing through (-1, 2, -2) that is parallel to the plane…

A: This question is based on 3-d geometry.

Q: 1. Evaluate the iterated integrals. In 3 In 2 (a) f f e** dydx S S 00 (b) ff X 00 (xy+1) dydx (c)…

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

Q: Find a 3 x 3 matrix A that has eigenvalues A = 0, 16, - 16 with corresponding eigenvectors 080…

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Q: In the year​ 2000, the population of a small city was 49,000. The population grows at a rate of…

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Q: 12.Find a quadratic polynomial if sum and product of zeros are given (i) 9/20, 1/20 (ii) 2,√3

A: Topic = Quadratic equation

Q: A river is 2 km wide and flows at 6 km/h. Anna is driving a motorboat, which has a speed of 20 km/h…

A: In this question we have to find the solution for the following statements.

Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: Evaluate and Show all necessary solutions. 1. S √x-³√x+3x-1dx

A: The given integral is;  (5+3sqrt(x))/sqrt(x).

Q: True or False: We have Select one: O True O False 0 8 √√xdx = 12.

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Q: M8 K=1 K² +1

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Q: Find the exact length of the curve. y = In(sec(x)), 0≤x≤ w|ले

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

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Q: Which of the following pair of vectors have the same direction? Select one: O a = a = -i - 2j + 2k…

A: We have to find vector having same direction

Q: 18. 19. 20. The curve y = x³ + 3x² − 2 has an inflection point at the point: a) P(-1, -2) b) P(-1,2)…

A: Use inflection point concept

Q: A company selling baseball gloves has fixed costs of ​$1300​, and it costs an additional ​$22.71 to…

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Q: Find the limit of the following. Use L'Hôpital's rule, if applicable. Use - ∞ and ∞ when…

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Q: On the moon, all free-fall distance functions are of the form s(t) = 0.81t², where t is in seconds…

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Q: Solve the initial value problem O y = 7cost + sint O y = e-cost + 7e-¹ sint ○ y = e¹¹ +7e="t ○ y =…

A: to solve the initial value problem.

Q: = x² + ²/4/ 3. Find the equations of the tangent plane and the normal line to z = x³ + at (1,2,2)

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Q: =3. Let a = [2₁1,-1], 5o = [4₁-5, 3] and C-[-1,-2,5]. compute ax (b + c). Show full steps.

A: We have to solve given Questions.

Q: so (x − 2)(3x − 4)dx

A: Multiply (x-2) and (3x-4)

Q: 1. Show that u(x,t)= etsin kx satisfies the partial differential equation_u₁ = α² uxx

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Q: 1. Prove Trigonometric Identity (a) cos (sec) - cos 0) = sin2 0 cose (b) (c) 1-sin 0 1+cos 0 cose =…

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Q: Problem 3. Solve below definite integrals f (d) In(r) I dr.

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Q: d²y (x) dx² 6 dy (x) + By(x) = xe ²x xẻ dx / general solution ?

A: We have to find the solution of differential equation

Q: Evaluate the given function for f(x) = x² +1 and g(x) = x - 4. a) f(4)-g(3) _ ƒ(2) b) g(-1+h)-g(-1)…

A: Solution: f(x)=x2+1 g(x)=x-4

Q: Find the area between x-axis and the curve defined by   y=2·x2−6·x on the interval [0‍,4].

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Q: Hos solv the step? 0.10.9062cos (1-√√/3x) d x [sin (1. (3x) 3 sin (1-√√3a) - sin (1-√3(-0.1)) sin…

A: To find the given step how to came from the above step

Q: The function f(x) changes value when x changes from xo to xo + dx. 3 f(x)=x-x, xo = 3, dx = 0.2 a.…

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Q: 3. Solve Trigonometric Equation (a) 1+ sin 8 = 2 cos²0 (b) cos 0 + 1 = sin 0,0 € [0,2π) (c) √2 sin…

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Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³ - y³)dy = 0 For Figure 1.

A: We have to find out solutions of differential equations

Q: Solve the initial value problem y"+y' - 56y = 0, y(0) = a, y′(0) = 48. Find a so that the solution…

A: Solve the given differential equation as following:-

Q: Given : 6 (x, y, z) Compute the gradient 3 6y³z³ - 5 ex at = PA (2,2,1.5) of G (x, y, z)

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Q: Find the following limits for the piecewise function: f(x) = { x + 1, +5, a) lim f(x) - x-3 b) lim…

A: (a) Given that, the function is fx=x+1                x≤2x+5          2< x≤4. Obtain the value of…

Q: Determine the y-coordinate of the centroid of the shaded area. Set a = 11 in., b = 28 in. Answer: y…

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Q: f(x) = x^2 − 3x + 2 and the line g(x) = x − 1 over the interval [0,2] .

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Q: Two-thirds of Ariadne’s money together with five-sevenths of Brian’s money is equal to three-fifths…

A: given:-Person A has $2.40Person C has $11.25To calculate the person B's money.

Q: A box with a square base is to hold a volume of 200. The bottom and top are formed by folding in…

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Q: and and the following table: to = f(to) = A. If we use n = 4 subdivisions, fill in the values: At =…

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Q: • We have 3 tan ³ = 3 O What's the value of Explain in detail 0?

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Q: 1. Solve the following linear differential equations with constant coefficients: (i) (D² - 2D + 1) y…

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Q: 4. The volume V of a rectangular box is given by V = LWH where L is the length, W is the width and H…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Solution: Given: S={(2 ,-1, 3), (5, 0, 4)} (d) u =(2, 1, -1)

Q: What is the value of y if x=y-7

A: What is the value of y if x=y-7

Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: R is the region bounded by the functions f(x)=3−cos(x) and g(x)=sin(x). Find the area of the region…

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Q: The region bounded by the curve y=4-x^2 and the line y=x+2 is revolved about the x-axis. Determine…

A: The region bounded by the curve y=4-x^2 and the line y=x+2 is revolved about the x-axis. Determine…

Q: Evaluate T 2 sin(2x + 3)dx = None of them 0.9989 0.9899 -0.9899 1.21 -0.9998 -0.9989

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Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

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Q: Find the indicated limit. Note that L'Hôpital's rule may not apply or may require more than one…

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