Evaluate fun" (x) setx de Stan" 1 -tan (m + 1)(x) + — -tan (m-1)(x) + C m-1 ₁ (m + 2)(x) + -tan" (x) + C 1 ₁ (m + 3)(x) + -tan (m+1)(x) + C m+1 n (m + 1)(x) − − -tan (m-1)(x) + C m+1 1 m+2 m+3 m+1 tan tan tan m m-1

Q: Exercises To Solve [No.5] Lim 9-5 a -4 dx ·8X-15 6 Sinx+25inx+5

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Q: To evaluate x²cosx dx' use integration by parts. What is the expression after the second integration…

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Q: Question 3. Let L₁ be the line with parametric equations x = = 1 — t, y = 3 — 2t, z = 4t. Let L₂ be…

A: Given L1: x = 1-t , y = 3-2t , z = 4t Rewrite it in the following form (x-1)/-1 = (y-3)/-2 = z/4…

Q: Use cofactor expansions to evaluate the determinants in Prob lems 1-6. Expand along the row or…

A: Please see the answer below.

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Find 3√√²+9 3 rdr Option 1 2√2-27 (√27-3) Option 2 (2√2-27)

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Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/4 3/8…

A: Please follow the next steps.

Q: 1-² dx dy dz se ³ 1 xyz 2-fff(x+y+z)dy dx dz TL 3-fff₂y sinz dx dy dz 6 -2

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: What is the value of f(1) - 16B in | x³ Inx dx = f(x) ((1/4) Inx - B) + C? 00 O 3 0 2 01

A: This question can be solved using the concept of integration by parts.

Q: ormulas to compute the following antiderivative. x-1 x² -dx.

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Q: 6. If f is continuous and f² f(x) dx = 6, evaluate S/² f (2 sin 0) cos de.

A: see below the answer and calculation

Q: Use the method of elimination to evaluate the determinants

A: Question number 16 has been solved as per the request of the student.     This question can be…

Q: Write as a single function of a single angle. tan 55° - tan 17⁰ 1+tan 55° -tan 17° = [? ] ([_]°)

A: Use the formula of tan(A-B)

Q: What is the value of f(1) - 16B in ∫x^3 lnx dx= f(x) ( (1/4) lnx - B ) + C

A: To find out the required value.

Q: Solve the following differential equations: 2 √1-y² (a) - dx + y sin 2x -dy = 0 cos 4x+1

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Q: find the inverse Laplace Transform of the functions     a.) 5/3s b.)14/((3s+2)(s-4))

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Q: Find the area bounded by the trigonometric curves O2.828 square units 1.414 square units 3.667…

A: topic - area bounded by curves

Q: The integral ·S= dx (x²+4)² can be transformed to which of the following when trigonometric…

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Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

A: We have to solve for single payment.

Q: 1 3 Find the area bounded by the curve y== -x3. -x² + 3x and the line y=x. 16 10 square units 8…

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Q: _et f(x, y) = xe - x². Calculate fx (x, y) and Jy (x, y).

A: To find the partial derivative.

Q: Evaluate sin (1 sin (Inx) dx Integration by parts will be used repeatedly. What is the expression…

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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 3

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Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

Q: a) A vector equation of a line that goes through the points P(1, -3, 2) and Q(9, 2, 0)

A: topic- equation of line

Q: rve (y+1)2 = 4x3 from x=0 to x=1? (4) =q8

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Q: QUESTION 15 Evaluate sin(Inx) dx Integration by parts will be used repeatedly. What is the…

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Q: Question 5 The integral - (Α S se ® / B Ⓒ / - (D x dx x²+√√√x²-1-1 *sec²0 de 1+tano sece tane de…

A: We have to find out

Q: Let f(x)=2-3√. Then the expression can be written in the form where A, B, and C are constants.…

A: Solved below.

Q: Let T be the tetrahedron with vertices (4, 0, 0), (0, 5, 0), (0, 0, 5) and the origin. Write f(x, y,…

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Q: m-1 1 + m 1 m m+2 ¹tan (+2)(x) + —tan" (x) + C m-1 1 + m 1 m+3 Ɔ+ (*) (1 - 1)² + (x) (1 + m) U²1-…

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Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We have to use simple logic to solve the problem

Q: lim F(x) lim F(x) x--6 What is the value of the limit? Select the correct choice below and fill in…

A: We have to find the limit

Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

A: We have to find vector A and B.

Q: Find the area of the region that is bounded above by the curve f(x) = (x + 3)² and the line g(x) =…

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Q: Question 8 The integral - Ⓒ /se (B Sa / © S³ (D S x dx x² + √x² sece tane de sece - 1 cose de 1-sine…

A: We have to slove above integration

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4…

A: Solution is here

Q: 5. Evaluate the following triple integral. ſſſ (.x² + y² ) dx dy dz D D={(x,y):x² + y² ≤9.15:53)

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Q: 154. Use the Fundamental Theorem of Calculus, Part 1, to find sin x d dx √1-t²dt.

A: Topic = Derivative

Q: 5. Suppose f is continuous on [2, 8]. Use the table of values of f to f(x) dx using a left, right,…

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Q: Question 10 The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x…

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Q: iven R'(t) = (4e²t, 2t ,2cosh t), and R(0) = (1, −2, 3), 1+t² find Ŕ(t), and give the parametric…

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Q: 7. Show that the equation of the plane that has x-intercept a, y-intercept b, and z-intercept c…

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Q: 4. Determine the Cartesian equation of the line that... a) is perpendicular to x=2+t, y=-3 + 2t and…

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Q: Question Define Q as the region that is bounded by the graph of the function g(y) = 2√y+2, the…

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Q: Use Cramer's rule to solve the systems in Problems 21-32. 21. 3x + 4y = 2 5x + 7y = 1 22. 5x + 8y =…

A: 22. The given equation is: 5x+8y=38x+13y=5 To use the Cramer's rule to solve the system of…

Q: Question 1. Let f(x,y) = y²e¹x. (a) Find the linearization L(x, y) of the function f at the point…

A: To find the linearization.

Q: lim f(z) = #t * NE

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Q: Question Find the area A of the region that is bounded between the curve f(x) = ex-2-3 and the line…

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Q: dx (x²+4)² The integral A÷/csc²³ Ⓒ + /sec²0 B C Ⓒ + / sin² D 8 csc ³0 de c³0 de cos²0 de sin ²0 de…

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