X d d f(t) dt and dx Evaluate f(t) dt, where a and b are constants. dx a a .... . X d dx f(t) dt = (Simplify your answer.) a

Q: function f(x) has the following properties:  1) f(x) as critical points at x=4 and x=7, 2) f'(x)is n...

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Q: Preview b. What is the domain of R relative to this context? Enter your answer as an interval. Previ...

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Q: sin(20) = cos(0) %3D

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Q: I = St dx 1 + (x-a)k. Lx-a

A: Given,  I=∫1x-a+1(x-a)kdx

Q: 7. Suppose fis an odd function, f(x) dx = 2 and | f(x) dx = 7. Evaluate f(x) dx.

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Q: ers to find the minimum and maximum values of the function f(x,y, z) = + 6z² = 64.

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Q: Sketch the graph of a function y = f(x) that satisfies the given conditions. 41) f(0) = 0, f(1) = 6,...

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Q: of of and ду Find f(x,y) = Vx + 3y?

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Q: Find the general anti-derivative of f(x) = 3. + Vx on a continuous interval. Please select file(s) S...

A: topic - integration

Q: 7. Find the Taylor series for f(x)= In(x), centered at a = 1. Note: You do not need to find the radi...

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Q: Two sides and an angle are given below. Determine whether the given information results in one trian...

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Given the derivative of the function f(x) is f′(x)=2x2−2x−24 which of the following statements is tr...

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Q: Find the unit vector in the direction of (5, 4). Write your answer in component form. Do not approxi...

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Q: Consider the figure below, where Ju = 2 and |v| = 8. 60° (a) Find u x v|. (b) Determine whether u x ...

A: topic - cross product of vectors

Q: x = 2t2 – C : 3t + 1 y = et²-1

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Q: O Solve the eguation, Kdz x dz - gdz +ze (tya) Ans OF THS + -z) =0

A: This is linear equation so we can use Lagrange auxiliary equation to solve this problem.

Q: 3 11 approximate " (x – 4) dx using Riemann sum is O a) 884 b) 992

A: Th given intervals are:

Q: Suppose a company finds that its revenue can be modeled by R(q)= 800q and that its cost is modeled b...

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Q: (i) Let ƒ be the function defined on (-o, 0) by f(x) = r$(3 – x)}. (2 – x) -2 Given that f'(x) = and...

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Q: Evaluate the following using a sum or difference identity and the unit circle. cos(165degrees)

A: The given value is cos(165°)

Q: 2. sin 10x , sin 20x , sin 30x

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Q: Use a finite approximation to estimate the area under the graph 1) f(x) = 9 - x2 between x = -3 and ...

A: Solve the following

Q: Find the local linear approximation to f(x) = Vx at x = 1 and use it to approximate both 1.1 and Vo....

A: To know which one is better we have to compare with calculator values of sqrt(1.1)  and sqrt(0.1)

Q: A hotel rents 240 rooms at a rate of $40 per day. Fo Find the room rate that maximizes daily revenue...

A: Given that: Number of rooms=240Rent =$40 per day

Q: 3" b) а, 2"+5

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Q: Assume that the recursively defined sequence converges and find its limit. a1 = - 2, an +1 = /14 + 5...

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Q: [ 4 e-3' dx =

A: Here we have to integrate w.r.t x. Hence any term which has variables other than x are constants.

Q: [1] Let f(x) = x – 4.x³ + 3.x² – 4x – 4. Find the equation of the tangent and normal line to the cur...

A: We have to solve the problem

Q: Find the unit vector in the same direction as v. v = 4i - j (Simplify your answer. Type an exact ans...

A: Solve for the unit vector

Q: Convert. 13 gallons = quarts ..... 13 gallons =| | quarts (Type a whole number or decimal.)

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Q: (a) Find the second Taylor polynomials for f(x) = Vx at x = 16. %3D (b) Use this polynomial to estim...

A: Solution: a) Taylor series of function f(x) at a is defined as: f(x)=f(a)+f''(a)1!(x-a)+f'(a)2!(x-a2...

Q: By choosing U;as the right endpoint of each subinterval [3,5], [5,7], [7,9], [9,11], the 3 approxima...

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Q: Find the indicated derivative.   dy dx for y =  1 − 2x2 x4 − 2x2 + 4  dy dx =

A: We have to find derivative

Q: 2.

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Q: 0.004 using a log table

A: The integral part of a common logarithmic is known by, Integer parts as the characteristics and the ...

Q: Find f such that the given conditions are satisfied. f(x) = -. f(0) = 8 %3D O fx) = x3/2 - 2x+ 8 flx...

A: Given f'(x)=x−1x     ,....(1)And f(0)=8

Q: (x – 11)2 - Consider the function f(x) = e 8 f(x) has two inflection points at x = C and x = D with ...

A: Given that fx=e-x-1128Solution Inflection point : f''x=0 and solve x or f''x does not existif f''x &...

Q: O Use differentials to approximate the increase in the area of a soap bubble when its volume increas...

A: Given query is to find approximate are increased.

Q: Let u = 36(1+5x), v =y-2, f=z+, and df be the differential (linear) approximation of f(2.2,4.9,1.1)-...

A: Linear Approximation: 

Q: A pyramid was built about 2580 BC. Its original height was 430 feet, 11 inches, but due to loss of i...

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Q: 2 ydx = (x² – 1Xdx – dy)

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Q: Vrite the augmented matrix of the given system of equations. x+y-z 9. 4x-5y 3 2x +5y-z = 2 The augme...

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Q: Use the principle of estimation to find an estimate for the following calculation. 34,560,693 – 17,0...

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Q: 2 -1 dr 7. Approximate/1 using three rectangles and the right endpoint method.

A: Riemann sum

Q: By choosing u; as the right endpoint of each subinterval [3,5], [5,7], [7,9], [9,11], the 3 11 appro...

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Q: he angle below measures 5.7 radians, and a circle is centered at the angle's vertex. 5.7 rad (0.83, ...

A: The given figure is:

Q: Find all the second-order partial derivatives of the function. r(x,y) = In (2x + 3y)

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Q: Calculate thex and y components of the vector given below. Do not round any intermediate computation...

A: Given query is to find the x and y components of the vector.

Q: Use the Mean Value Theorem to show the following assertions (a) Suppose that f(x) is continuous on [...

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Q: 1= S 1 I = dx (x-a)k] Lx-a

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