0 ex [ 224²1 ex + 1 J-In 2 dx

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

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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: Consider the matrices shown below: 1 27 D=-1 01 3 24 Compute tr(DET) 6 E = -1 4 13] 1 2 1 3

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Q: 3. LL₁a+ (x + 2y) dy dx

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Q: A. REMEMBERING Multiple Choice. Calculate the limits of the following functions. Write the correct…

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Q: (CLO-3) Find the area of the largest rectangle that can be inscribed in the region enclosed by the…

A: Given:-y=x2-5y=-x2+5let x=t  and -t are paramatric points on the curveboth the curves are…

Q: ind the average value of the function f (x, y, z) = x² + y² +2²³ over the rectangular prism 0≤x≤ 5,0…

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Q: Find the point on the plane 5x + 4y + z = 11 that is nearest the origin. What are the values of x,…

A: First we find the distance(d) between a point (x,y,z) on the plane and the origin .Then form a…

Q: 1. If f(x) = 5x4 - 6x² + 4x - 2 find f'(x) and f'(2).

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Q: The population of a small city is 90,000. 1. Find the population in 20 years if the city grows at an…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find the average rate of change of the function over the given interval. f(t) = 13+ sint a. 0, 플] п…

A: As we know that; The average rate of change between the interval t1≤t≤t2 is given by: Average rate…

Q: explain using a graph of (x) = X³-6x, for 0≤x≤3 With Six sub intervals, what the Riemann sum…

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Q: Find the instantaneous rate of change for the function at the given value. f(x) = x² + 3x at x = 0…

A: We can find the instantaneous rate of change as below

Q: е 0.99

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Q: Numbers 10,11,12 please

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Q: 4 Consider the force field Ğ(x, y, z) = = = -ze²y-x, 2ze²y-x, e²y-x 2² + 2x + 2 a. Determine whether…

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Q: Find the value of the following implicit derivative tan y-sec x=5 find...y'

A: Given problem :- Find the value of the following implicit derivative   tan(y)-sec(x) = 5 find   y'

Q: (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1

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Q: Find the derivative of the function. - 5x - 4 e to y=xe dy dx ||

A: Finding the derivative of the function

Q: Find the Cartesian coordinates of the following points (given in polar coordinates). a. (1,0) b.…

A: topic - coordinate conversion x=rcosθy=rsinθ

Q: Find the equation for the line tangent to the curve 2ey = x + y at the point (2, 0). Explain your…

A: Equation of tangent to curve is given.

Q: Find the general equation of the conic with the given properties. 51 59 1. A parabola with directrix…

A: Given: A parabola with directrix y=-5132 and one endpoint of the latus rectum at -18, -5932

Q: Given the following functions: Find: f(j(x)) f(x) = 3x² - 5x+2 g(x) = 7x² + 3x - 1 2x - 7 h(x) 5x -…

A: Given query is to find the Indicated composite function.

Q: lo 3 Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar…

A: Let's change given Cartesian integral to polar integral and then evaluate.

Q: f(x)-f(1)_3, then lim ¸ƒ(1+h)−ƒ(1) _3. x-1 h If lim: (a) (b) TRUE FALSE

A: Solution of given question is written in below steps.

Q: 2) lim f(x) if f(x) = {x²43) X2² fx²-9, x2 x-2 F(x) X 2.75 2.5 2.1 2.01 2.001 X 1.5 1.75 1.9 1.99…

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Q: Given z = Find z.. wwwwwww Z₂ = -x² Option 1 Option 3 Zx = -x-2 2x = x-² Option 2 none of the above

A: The objective of the question is evaluate the partial derivative of the given function "z" with…

Q: The following figure the position vs time curve for a certain particle moving along a straight line.…

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Q: Question 5 Use the rules of differentiation to find the derivative of the function y = x(6x + 1)5.…

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Q: 1) lim x + 5 X 1.5 2 2.5 2.75 2.99 F(x) X 4.5 4 3.5 3.1 3.01 F(x)

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Q: 5. √√64 .05

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Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

Q: Find the critical points of f(x) = x³ - 21x² + 144x and use the Second Derivative Test (if possible)…

A: The given function fx=x3-21x2+144x

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

A: Given: curves y=x^2+10x , y=2x+9 We have to find the area between the curves

Q: Find the area of the region bounded by the graph y = sin x, y = 0, x = 0 and x =3π/2

A: Area of a region when strip taken parallel to y-axis is ∬dydx.

Q: If z=x2sinh 4 then 02z дхду

A: Explanation of the answer is as follows

Q: Can you elaborate you answer in b>? I cdont understand whiy it became 4

A: We have to elaborate why the angle is 4π3.

Q: The area cut off by the x-axis and the curve y = x2-3x is rotated about the x-axis. Find the volume…

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Q: Evaluate the triple integral ryd xydV where E is the solid tetrahedon with vertices (0,0,0), (10, 0,…

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Q: 2/ Find the equation of the tangent line at (0,0) to fex) = xex хе 2 -X

A: Given f(x)=xe-x2y=xe-x2Differentiate…

Q: Find the critical points of f(x) = -2x4 + 2x² - 6 and apply the Second Derivative Test (if possible)…

A: Given problem:- Find the critical points of f(x) = -2x² + 2x² - 6 and apply the Second Derivative…

Q: 'ind R(t) given R(1) = (1,0,−1). 'ind f'(1) if f(t) = (-2, -3t, t²). R' (t).

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Q: If f(x) = x'ex, find f'(x) and f'(1).

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Q: A retailer has been selling 1,000 computers a week at $750 each. The marketing department predicts…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3. y²(x + 2y) = 8

A: The Solution is dydx=-y2(x+3y)

Q: in how many ways can we arrange the integers 1, 2, 3, 4, 5 in a line so that there are no occurence…

A: We use the principal of inclusion and exclusion.  For i∈1,2,3,4, let Ai ⊂Si be the set of all…

Q: Suppose that the marginal cost function of a handbag manufacturer is C'(x) = 0.046875x² - x+275…

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Q: E Eo A formula for calculating the magnitude of an earthquake is M = log that uses the common (base…

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Q: Find a 3 x 3 matrix A such that A A A A = 1 4 0 = 2 0 -1 B-B EL. 0 2 1 = -3 and 0 -5 0 -5 B-B 0 -5 1…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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

A: Given A→=3ai^+4j^-k^  and B→=4i^+j^-3k^