Determine the absolute maximum and minimum values of the function f(x) =+x the interval -2sxs2. x over

Q: B. For each of the following functions z, find and dx²' dyðx' axðy' dy2 1. z = 2x² – 5xy + y²

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Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A: Given problem:- Use differentials to estimate the amount of paint needed to apply a coat of paint…

Q: 2eln In cos 2t 8 + 2 None of the choices Option 2 2s s2 – 2 s2 – 2 Option 5 Option 3

A: This question is based on Laplace transform.

Q: Compute the area enclosed by the curves. You must show your work. Express your answer as a fraction.…

A: In this question we have to find the area enclosed by the curves.

Q: Find, the genetal Solution o the differehtial equation (2x+Y-3) dy= +2Y-3)dXf %3D

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Q: 1) Use the definition of the derivative to find f'(x) f(x) = (4x + 1)(3 – 7x³) Step 1: Step 2: Step…

A: Topic:- function and it's Derivatives

Q: 1 (s +1)(s² + 1) - cos t + sint) + cost – sin t) Option 1 Option 4

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Q: Find the particular solution to the differential equation d²y = 4e* + 3x² given y = -3 dx2 and = 3…

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Q: Question 3 (a) Find the first and second derivative of the following function, in which a and b are…

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Q: Se6m sin m dm Integration by Parts m3+4m Algebraic Substitution (1-m*)2

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Q: Use differentials to find the approximate value of y: (2x – 1)* when x = 0.98. O (E) None of the…

A: Given :f(x)=2x-14x=0.98

Q: I. Evaluate the following integrals. 3.x5 dx V2 – x3 1. - 2* + e2" sin(2") dx sin(2") 2. 2x + 3 dx…

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Q: - 7z - 25 Evaluate (3x + 5)(r – 1) Add Work Submit Question

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Q: the function f(x) = xe-* is concave upward on Select one: O (-00, 2) O (2, co0) O (-00, 1) O (1, 0)…

A: Given

Q: 1. In the chart below, you are given a formula. Name the formula. Formula Name of the formula/what…

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Q: sin x S + 3x)dx 1. cos x dx 8 sin?x cos²x 4. 了 1 2. 了 dx 1-cos x 5. J sec x(sec x – tan x) dx 2 secx…

A: These all are solved by the help of standard trigonometric Antiderivative.

Q: S()ム 3/2 (a²

A: Explanation of the answer is as follows

Q: Integrate sze" • fa". de Answer:

A: We have to find the integral

Q: 2. Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB.

A: ProjBA=B⇀.A⇀A⇀

Q: y = e-x" and the x – axis is revolved about the y - axis.

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Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

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Q: dz az and ду Suppose z is a function of x and y, and tan Vy? + x2 = ze6y. Solve for

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Q: 4 2 6e"*+2dydx =? (a) 2 (e* – e?) (b) 2 (e10 – e°) (c) 2 (e16 – e?) (d) 2 (e2 – e?) (e) 2 (e64 – e?)

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Q: Evaluate the indefinite integral, ſx² sinh x³ dx.

A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

Q: give me an example of properties of definite integral

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Q: If the tangent line to y f(x) at the point (1,2), passes through the point (-1,1), then f'(1) = %3D…

A: Find f'(1)

Q: 3/1- The table below includes data from a study that was applied to five people to measure weight…

A: We need to nd which set is more dispersed.

Q: Let 7(t) = Find a parametric equation of the line tangent to 7(t) at the point (22, 324, 13.54)…

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Q: Find the set of all values of x at which the line 3x-y+ k = 0 is a tangent line to the curve f(x)…

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Q: A candy company makes two types of chocolate bars: milk and dark. The milk requires 9 minutes in a…

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Q: 15. What are the coordinates of the vertices of the ellipse A. (-6,0) and (6,0) B. (0, -6) and (0,…

A: 15  y2/9 + x2/36 = 1 compare with x2/a2 + y2/b2 = 1 so a = + 6     b = + 3 so here vertices  (a,0)…

Q: Q3. (a) Find the binomial expansion of (1 – x)-1 up to and including the term in x2.

A: We have to find binomial expansion.

Q: 4. Evaluate the integral 2+ In? x -dx. x – x ln x (a) 3 ln |In a – 1| + 2(ln r – 1) + (In a – 1)2 +…

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Q: Acos'e -3=-4cos0

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Q: 8 12 F dt 2.

A: Given: I=∫148t-12t3dt   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule:…

Q: 8x? -x t 8 x (x² + 4) 9. b.4mx4 3m (x+4-ラ4an)tc c. qlnxf 6m (x"+4)-Arctan )t c d. 2mxt 6m Ge?+4) -…

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Q: dx Vx-4x-7 S- -dy y2-8y+5

A: The given integrals are' 1)1/sqrt(x2-4x-7)  2)7/(y2-8y+5).

Q: Part 2. Use the integration techniques to solve for the anti-derivative of each fur I. S3p? tan p dp…

A: According to the company rule we can answer only the first question and rest can be reposted.

Q: Use the Linear Approximation to estimate Af for f(x) = , when a = 2 and Ax = 5+x2 (Use decimal…

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Q: Question 1 Compute v31.6 approximately by use of differentials. O 1.995 O (E) None of the choices O…

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Q: Find the sum of the convergent series. 1.6

A: Gp

Q: 7. How should the function f(x) = be defined so that it will be continuous at x = -1? (B) f(-1) = 0…

A: We have to find the value of f(-1). Also we have to find the interval in which function is…

Q: For numbers 12 14. A parabola defined by the equation x+3 = (y + 2) is translated 4 units down and 3…

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Q: 6. ( alv.y s. Match each of the following formulas with the given graphs. Justify your answers as…

A: We have to match functions with the graph

Q: 3. For each of the following functions z, find and дудх' дхду 3. z = tan-

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Q: 3s + 2 4s2 + 12s + 9 4 te 궐 | O Option 1 O Option 2 4 tet e - e 2. O Option 3 O Option 4 3/14

A: Inverse laplace

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to r? + y…

A: Given

Q: Change the following rectangular equations to polar form. Show work on separate pape 14. x² +y =10…

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Q: 1. 3p² tan¯p dp

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Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

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