4. sin2 -x | dx. Use trigonometric groups. 2 X| cos

Q: dx -= In[F(x)]+C• What is f(3) For (x+x³) (x Tan-!x+1) 3 3 -1 3 6. + 3 + + +

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Q: Evaluate the surface integral / F. ds for the given vector field F and the oriented surface S. In…

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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 the surface integral F. ds for the given vector field F and the oriented surface S. In…

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Q: X+ 6 2) lim х-6 (х-6)2

A: limx→6 x+6(x-6)2=6+6(6-6)2=120

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Q: x dx 24) (7x² + 3)5

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Q: Vx2 + 4x - 5 dx = Using Trigonometric Substitution f(e)dA find the new limits of integration. 1. x+2…

A: Let's find.

Q: dx , find f(0) · Using Trigonometric Substitution 3 (x²+ x + 1) 2

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Q: Evaluate (5+=3+3)+

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Q: As a group, discuss why there are no terms of the form x*, xy, or xy in the expansion of (x+ y)'.…

A: (1) In the expansion of (x+y)3, each term has the power 3 ,that' why x4,x2y2,xy  do not exist

Q: Question 4 When x°cos (x²)dx is evaluated using IBP, the value of J v du is? A B -cos (x2) cos (x2)…

A: We need to choose correct option.

Q: (1) 8 6 2 "2 -2 -4 Increasing: Decreasing: Constant: 4.

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Q: Scots x csc?x dx esc" x - csc", -7csc x + 5csc esc" x +csc" x -csc? x + C x csc³x 1 X + c³ x + C 1 1…

A: Solve by integration method

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Q: 9-x2 dx. - х x2

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

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: 80 Σ k k=41

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x + y 12xy -…

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Q: f2x² Find uv- v du Using Integration By Parts, dx =uv- du UV- | S12 xe 6 x2 dx 3 x2 6x e dx 02

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Q: The function s(t) describes the motion of a particle along a line. s(t) = 12t – t2 (a) Find the…

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Q: sin- dx 32 cos:주-Scos)+기+ c 35 32 + C COS 7 4 32 32 .coss(수)+C 32 cosS 4 35 Ssin +2 +c

A: The correct option is (3).

Q: Given /V -x²+4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? (A…

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Q: Consider the indefinite integral (22 da: (z – 2)* 3)2 This can be transformed into a basic integral…

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Q: Compute the work required to stretch a spring from 4 to 12 cm past equilibrium, assuming that the…

A: the equation to find workdone is; workdone =(1/2)kx^2   given,  stretching the string from 4 to 12…

Q: Evaluate the surface integral. xyz ds, S is the cone with parametric equations x = u cos(v), y = u…

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Q: completing the square, show that r1/2 da 2² – r+1 3/3

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Q: After watching the Section 9.10 vidco, solve the following problen. Make sure that you show all…

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Q: Find the largest open intervals where the function is concave upward. 16) f(x) = x3 - 3x2 – 4x + 5…

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Q: Given that A = (1,0,2) and B = (6, -2,3), solve for projąB.

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Q: 12. The slope of the curve y = x2 - e-* at its point of int A. -In 2 В. C. 2+In 4 D.

A: Given query is to find the the slope at inflection point.

Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: Given:      ∫51+e2xdx

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

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Q: .3 The result of dx is F(b) – F(a), where F(a) and F(b) are real numbers. What is the value of F…

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Q: Evaluate the integral (2 + 6) (2? + 6z + 2)*dz by making the substitution u = x² + 6x + 2. + C

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Q: Three pens of the same size are to be built along an existing fence. If 480 feet of fencing is…

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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: Evaluate Sum 80

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Q: 1. (32.12) Determine the radius of convergence and the interval of convergence n!(2a - 1)". n=1

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Q: 1 Calculate the difference quotient for f(x) at a = 4. V2x + 5 (Express numbers in exact form. Use…

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Q: 3r + cos r 2. Use Squeeze Theorem to evaluate_ lim 1-00 V1 +r2 - 5x

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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: Find the second derivative. 14) y = 4x² + 12x + 4x-3

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Q: initel Vehue Poblem =のラx X(ころ) (三

A: Given query is to find the solution of differential equation.

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

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Q: Find the average value of f(x)=9x+1 over [4,9]

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Q: Compute the given integral. Jac dx +C

A: Solve the integration

Q: Integrate: I+2dx + C

A: To solvethe following integral part