Q10 Let f(x) = 3+x². 5 x = 2. Give an exact form. x² +1 dt. Find an equation of the tangent line to the curve of f when

Q: Put the steps for solving an applied optimization problem in the correct order. Take the derivative…

A: To optimize maxima/minima problem use use derivative test as follow:

Q: At what points is the given function continuous? f(x,y) = √8x+9y A. All (x,y) such that x + y 20 B.…

A: given that,   f(x,y)=8x+9y   at what points the given function is continuous?

Q: J.F S F = (e sin y, e cos y, yz²) is the surface of the box bounded by the planes x = 5, y = 4, z =…

A: Calculate ∬F.dS, where F=exsiny, excosy, yz2 S is the surface of the box bounded by the planes x= 5,…

Q: [cos (° +°k) + i sin (° +°k)], k = 0, 1, ..., (Simplify your answer, including any radicals. Type…

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Q: Q4.2 1/2 0 (cos(x) - 2) dx =

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Q: Suppose that f(x, y) = 4x + 3y at which −3 ≤ x ≤ 3, -3 ≤ y ≤ 3. Absolute minimum of f(x, y) is…

A: Given, the function is f(x,y)=4x+3y.

Q: For the following function find (a) f(4), (b) f f(x) = 4x² - 40x+97 (a) Find the value of f(4).…

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Q: Find the curl of the vector field F = (5y cos(x), 2x sin(y)) curl F 1 Calculator Check Answer

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Q: Suppose that f(x, y) = xy. The directional derivative of f(x, y) in the directional and at the…

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Q: For the given cost function C(z) = 62500 + 300x + z²

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. √³x 4 y'…

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Q: dz dt z = xe¹y, x = t¹, y = − 1 + 4t dz dt Find 11 given:

A: given  z=xe4yx=t4y=-1+4twe know dzdt=∂z∂x×dxdt+∂z∂y×dydtd dt(tn)=ntn-1

Q: Q4.2 1/2 0 (cos(x) - 2³) dx = 1 √2-1 π In 2 01 √2 In 2 π O 1 √2-1 In 2 7 O-T-In 2(√2-1) O-T-√2 In 2…

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Q: A. Find the intervals on which f(x) increasing or decreasing In a Va is

A: F(x) = ln(x)/(x)1/2   domain of function (0 , inf)

Q: K For the function defined as follows, find a. f(x + h), b. f(x+h)-f(x), and c. [f(x+h)-f(x)]/h. 9…

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Q: Suppose that f(x, y) = x² − xy + y² - 2x + 2y with D = {(x, y) | 0 ≤ y ≤ x ≤ 2}. 1. The critical…

A: First we find partial derivative of f(x,y) with respect to x and y,then equaling to zero.Hence we…

Q: (a) Find the linear approximation of (x) = ln xat x = 1 and use it to estimate : (1.38). (x) = 1.38≈

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Q: 10.y" + 2y' +10y = -6e-t sin(3t), y(0) = 0, y'(0) = 1

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Q: √ √ [ 23/₁ + √² + √i ] α₁ dt

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Q: Please answer all questions, even the last one in which you have to use 4th grade math.

A: We have to find the arc length of the parametric graph                    x= sinπty= cosπt-12≤t≤12

Q: Find the number that belongs in the greet *box. 25° 13 96% [?] Round your answer to the nearest…

A: let the missing side is x

Q: A piece of wire 12 ft. long is cut into two pieces. One piece is made into a circle and the other…

A: Given: A piece of wire 12 ft long is cut into two pieces. One piece is made intoa circle and thee…

Q: Evaluated along the cum 0≤ t ≤ 2 Consider the vector field F = F(t) = t²i+t³j,

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Q: Let lim f(x) = 8 and lim g(x) = 6. Use the limit rules to find the following limit. x-2 X-2 lim X-2…

A: given, limx→2f(x)=8  and limx→2g(x)=6let   B=limx→2f(x)+g(x)4g(x)

Q: Solve.   y′=2y−4​; y=5 when x=2   y= ​(Type an exact​ answer, using radicals as​ needed.)

A: The given differential equation is y'=2y-4 ; y=5 when x=2

Q: sin x 7+ cos 2 X -dx

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Q: Find all solutions of the system. (Use the parameters x, y, and z as necessary. If the system is…

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Q: Q3 Let f be a function defined by the graph below. In addition, suppose f(a) dz = 34. and f(x) dx =…

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Q: Evaluate xy dx + ²dy, where C' is the rectangle with vertices (0,0), (1,0), (1,4), and (0,4) f zy³dz…

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Q: Which of the following is a graph of the limacon r(0) = 3+4 cos(0)?

A: Given polar curve  r(θ)= 3 + 4 cos(θ)

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Given data

Q: 1 Find the area of the surface generated by revolving the curvex=cos (4t). y = 5+ sin (4t) on Osts…

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Q: Find the inverse of the function. f(x) = 6-42³

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Q: Two planes travel toward each other from cities that are about 450 km apart at rates of 240 km/hr…

A: Two planes travels towards each other from cities that are about 450 km apart at rates of 240 km/hr…

Q: Graph the sets of points whose polar coordinates satisfy the inequalities 0 s0s- 4,120. Choose the…

A: We need to identify the graph that represents the inequalities 0≤θ≤π4 and r≥0

Q: A freshwater pipeline is to be run from a source on the edge of a lake to a community on an island 5…

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

A: fx=-x4+16x3-16x+19

Q: If f(x) = ln(cos²x) then f'(x) is Ignore "Give your reasons" below. There is no need to give a…

A: f(x)=ln(cos2x) We have to calculate f'(x)=? We know f'(x)=d/dx(f(x))

Q: 16П3 1 3 a 09 16П3 1 2п 3 (82)³/ (8r-2)3/2 3√8

A: a2=a

Q: Sketch and find the area bounded by y=&sect and y=-4 sin²t:

A: While plotting the graph of  y=12sec2(t) and y=-4sin2(t), we cannot find any intersecting points. So…

Q: A Ferris wheel has a radius of 33.8 feet. The bottom of the Ferris wheel sits 0.5 feet above the…

A: A Ferris wheel has a radius of 33.8 feet. The bottom of the Ferris wheel sits 0.5 feet above the…

Q: Assuming that the equation defines x and y implicitly as differentiable functions x = f(t), y =…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. 0 T -f²v…

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Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pound…

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Q: Determine if the sequence converges or diverges. If it converges, give the value. 2. 2n 3. {an} = {…

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Q: Suppose f(x) is some function, and you determine the second derivative is f"(x) = 5(x-2)(x-4). Find…

A: Given: f''(x)=5(x-2)(x-4) We are required to: Intervals where f(x) is concave up and intervals where…

Q: Find the mass of a lamina bounded by y = 4√√x, x = 9, and y = 0 with the density function o(x, y) =…

A: Given that lamina bounded by y = 4x, x=9, y=0  with density function σx,y= x+2. We have to find the…

Q: Compute 3rd right endpoint approximation (R3) for Intergal from 0 to π sinxdx I recevied the answer…

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Q: 5. Does the sequence {{²} (−1)” n diverge? Explain converge or

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Q: Find the directional derivative of the function f(x, y) = ln (x³ + y) at the point (-2, 2) in the…

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