- [fle)d@ find f(E)· dx Using Trigonometric Substitution J 3. (x² + x + 1) 7

Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

A: Follow the procedure given below.

Q: Find the velocity and acceleration vectors in terms of u, and ug- r= 4 cos 2t and e = 5t

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Q: 3. Prove: a) Bo(U,4,)=U,(BO4) b) BU(N,4)=N,(BU4)

A: a) B∩∪iAi=∪iB∩Aib) B∪∩iAi=∩iB∪Ai

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: Evaluate the integral. x³(5x + 4) 22) dx Vx5+x+ +7

A: Find the integral using substitution method

Q: Sx(x² – 3)11 dx

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Q: S(3x2 + 4x – 5) dx

A: I am attaching image so that you understand each and every step.

Q: The position of a particle in the xy-plane t time t is r(t) = (e') i+ i. Find an equation in x and y…

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Q: 00 n +7 Use the ratio test to determine whether>. converges or diverges. 7" n=3 (a) Find the ratio…

A: To find whether the given series converges or diverges using ratio test.

Q: S sin®xdx

A: ∫sin6x dx       We have sin2 x=1-cos2x2 Then ∫sin6x dx=∫sin2 x3dx                  =∫1-cos 2x23dx…

Q: Using integration by parts, which of the following options is true of J x arcsec x dx ? (A none of…

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Q: For the integral, / tan'x sec*x dx, if we let u = tan x, what is the re-written form of the…

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Q: Veluate lesing Sub methad s x(xZ-3)" dX 1

A: Given query is to find the integral using substitution method.

Q: Given the function g(x) 623 9x2 360z, find the first derivative, g' (x). %3D %3D = (2),6 Notice that…

A: Follow the procedure given below.

Q: Find the indefinite integral using the formulas from Theorem 5.20. (Remember to use absolute values…

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Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. 11 lim 3 + n-…

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Q: In S-2 dz 2ydy if we let y=z+4, then the new integral becomes Vz+4 -2 y-2 A True B) False

A: Given ∫dzz+4-2

Q: NAME: 1. Decide (with proof) convergence or divergence of the series .(d), find the exact sum. 1)…

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Q: + y + z = 1 in the first octant.

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Q: From a club of 17 people, in how many ways can a group of six members be selected to attend a…

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Q: A shot putter threw an 8 Ib 13 oz shot 62 ft, 2 in. Assuming the shot putter launched the shot at a…

A: answer is in next step

Q: Consider the function below. f(x) = -4x2 + 24x + 4 (a) Find the critical numbers of f. (Enter your…

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Q: Find the inte gral. Box Final Answec For the definite integral, give the exact answer only r se?- gE…

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Q: ;dx

A: Given query is to find the value of the integral.

Q: Define f(0,0) in a way that extends f to be continuous at the origin. 6x² -x²y² + 6y² x² +y? f(x,y)…

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Q: 13. Find dy/dx of y = xnx

A: According to Bartleby's guidelines we can solve only 1 question at a time. Here's the solution of…

Q: Question 8 = 1 and lim,→a g(x) |8(x) If limx→a ƒ(X) = 0 then, we must have limx→a [f»]«® = 1 True…

A: We are authorized to answer one question at a time ,since you have not mentioned which question you…

Q: Evaluate the definite integral. NOTE: Enter the ecact answer. 13 ti+t°j dt

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Q: (1 + Зx) dx

A: We have to evaluate the integral

Q: 5xy = 4x²z – 3yz²; yx and y,. %3D -

A:

Q: Evaluate the integral Scot? x dx -cot x - x + C cot x + x + C cot x - x + C 1 cot x + C .3 X + O O

A: Topic = Integration

Q: tan (x) cos (x) 1 tan (x) +tan°(x) + C tan'(x)7tan?(x) +9]+ C 36 O 1 1 tan (x)-tan'(x) + C O…

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 8 e 2x dx…

A: The given definite integral,         ∫028 e2xdx

Q: If f(x,y) = x3y + exy^2, find the derivatives of df/dx and d2f/dxdy.

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Q: a Derivative In Exercises 59-84, find the Finding derivative of the function. 60. y = (x² – 6)3

A: Topic = Derivative

Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

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Q: Arcrin x dx

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Q: Evaluate the integral Jcots x csc³x dx -csc 1 7 x + 1 1 sc x + C csc csc x +csc? x + C X 1 2 1 7csc"…

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Q: Use a graphing utility to graph the function and find the absolute extrema of the function on the…

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Q: (Continue) An astronaut drops a hammer from rest a vertical distance of 2.0 meters above the surface…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: We need to use mid point rule to approximate integral.

Q: Find all values of A E C such that A(1+2i, 5+4i) = (3+2i, 6-1)

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Q: Consider the following sodium content of 26 randomly picked canned food. Propose appropriate data…

A: answer is in next step

Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: Consider a function y= f(x)  then the derivative f '( x) is the  rate of change of y with respect to…

Q: y" – 1/x = 0; y = x In x – 5x + 7 -

A: This question can be solved using the concept of first and second order derivatives.

Q: Solve the system of equations. If the system does not have one unique solution, determine the number…

A: In this question , we can solve the system of equation by eliminating the variables .

Q: Evaluate Sum 80

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Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

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Q: For the frictionless spring mass model, using a mass of m=0.5 kg and spring restitution coefficient…

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Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A: We have to find an expression for the area under the graph of f as a limit.