9. (20 pts) Find the area between (bounded) by the curves y = x² + 10x and y=2x+9.

Q: Consider the two by two system of linear equations x +3y +2y d) What is the coefficient matrix A? e)…

A: Here we will solve the given system of equations,

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Q: 46 0-25 A= ,0 01 Find all the eigenvalues of A. For each eigenvalue, find an eigenvector. (Order…

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Q: 2. 8 2 + (-1) 5+

A: Here we have ∑k=1∞2+(-1)k5k

Q: 1 83 -8 14(e++e²¹) Option 1 - 1 + ½ (0²¹ + ²) Option 2 1+1(e²¹+ e²) Option 3 - -/-(e²+ + e²) 1.…

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Q: 1. Determine y(t) if y(0)-0. dy +5 selt- ydt + 2y = 10 What is the value of y(t) in question #1 if…

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Q: 2 3s + 9 Option 4 Option 2 -3t e 2 3 e 23 c -34 3 None of the choices 3 -34 2 Option 1 e

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5): X 1.2 1.7 1.5 0.4055…

A: Given:- To find: f'(1.5)

Q: If A = 3ai +4j-k and B = 4i+j-3k, find the value of a if A normal to B.

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Q: Let f(x) = x²30 Find the critical points c that correspond to local minima.

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Q: [4pts] Consider a point in Cartesian coordinates given by (3√/3, -3, -8). a.) Find a corresponding…

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Q: Consider the matrices shown below: Find the value of K such that 4 B-B2C-13 = 5 1 10 18 18 B-¹C – 15…

A: Given B=4-102 and C=142315We know that if A=abcd then A-1=1ad-bcd-b-caB-1=18+12104=192104

Q: 1. If F(x) = Le d ex dt, find F(1) and F'(x).

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Q: 7) Find the critical point (s) of f(x, y) = 2x³ + 3y² - 9x² - 30y + 12x-3. Then use the second…

A: solution is given below...

Q: √101

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Q: What is the area of the region between X |y=x2–2x−3 and the x-axis from x=0 to x=4?

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Q: Consider the functions z = 7 e* In y, x = In (u cos v), and y = u sin v. ex əz dz (a) Express and as…

A: This question can be solved by the concept of partial derivatives.

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Q: √x-3 x-3+√√√x²-9 Evaluate lim

A: Given query is to find indicated limit.

Q: Consider the matrices shown below: Compute CT-14 CH [142] 31 5

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Q: 6.0 A force of 20 lb stretches a spring from a natural length of 7 inches to a length of 12 inches.…

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Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information and concave…

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Q: We use Law of Sines and Law of Cosines to solve for a triangle. When we say solve for a triangle, we…

A: As per our norms we have to write three multiple questions at a time kindly repost remaining…

Q: A. Find the general equation of the conic with the given properties. A hyperbola with foci at (4-…

A: Given problem:- A. Find the general equation of the conic with the given properties.   A hyperbola…

Q: 7. Use a change of variables to evaluate X 1 ² ₂ 2 ²4+ 8 da. -dx. +8

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Q: Find (au/ay) at the point (u,v)=(√6,-2), if x=u² + v² and y = uv. du = (Simplify your answer.) dy)…

A: ANSWER: 1

Q: The critical number(s), if any, of the function f(x) = (x²-3x+2) is (are):

A: critical points of fx=x2-3x+2-13

Q: For numbers consider a plane bounded by the curve y = 4-x² and the x-axis. Which of the following…

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Q: Solve the differential equation y''''+y''=3x2+sinx-2cosx a) what is the complementary solution b)…

A: We have to solve the differential equation y'''' + y'' = 3x2 + sinx - 2cosx a) Complementary…

Q: 4. A rock thrown into a still pond and causes a circular ripple. If the radius of the ripple is…

A: Follow the procedure given below.

Q: 5. 2 Let f(x) = 5x4. +8√x - 3. x² (a) Find f'(x). (b) Find an equation for the tangent line to the…

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Q: 3 3. √√26.91

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Q: -4 -3 -2 -1 wo 4 -1 -2 -3 -4 -5 1 2 3 4 5

A: Slope is given.

Q: Find all the local maxima, local minima, and saddle points of the function. 3 f(x,y) = x³ +y³ + 3x²…

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Q: Q2/Find the value of the integral dx 1+x² by using simpson method (n = 6)? 3

A: Find out the value of the integral using the simpson 1/3 method.

Q: Is f(x) = -3 A. Yes B. Does Not Exist continuous at x = 3? C. No D. Cannot be determined

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Q: The table contains price-supply data and price-demand data for corn. Find a linear regression model…

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Q: (CLO-1) Find the values of a and b such that the following function if x 1. X-1 D=

A: Topic:- application of calculus

Q: Given the following set of data X 1 1.5 1.6 2.5 3.5 f(x) 0.6767 0.3734 0.3261 0.08422 0.01596 Find…

A: Solution of the problem as follows

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Q: Find the triple integral of the function f(x, y, z) = x³ cos(y+z) over the cube 3 ≤ x ≤6,0 ≤ y ≤ m,…

A: ∫36∫0π∫0π   x3cosy+zdzdydx

Q: Find the mass of the rectangular prism 0≤x≤2, 0≤ y ≤2, 0≤z <3, with density function p(x, y, z) = =…

A: Mass = Density * Volume

Q: 1. A company manufactures and sells a televisions per month. If the cost and the revenue functions…

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Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

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Q: In the following problem, begin by drawing a diagram that shows the relations among the variables.…

A: Use partial derivatives

Q: Find the Laplace Transform

A: Topic:- application of integration

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Q: Evaluate the following integrals: O •(Cartesian to Polar) Given the Cartesian coordinate, find FOUR…

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