33x хе x³e³x dx S

Q: QUESTION 1 In x Complete the following table to evaluate the limit lim X-00 √x Step Explain the step…

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Q: Exercises To Solve [No.5] 3-2x-x²

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Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

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Q: 6. 7 [sin¹ 3xdx

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Q: A balloon is released from the ground 100 meters from an observer. The balloon rises directly upward…

A: We have to choose to correct option

Q: y= (4x² + 2) (4x3³ - x)

A: Here we have to evaluate y=4x2+24x3-x

Q: 3x5 Evaluate 3x4+6x3-3x2 - 6x ^ x² = 4x + 1 [ (x-1) 1/6 (x + 2) 16/3] + A In +C 2 1/2 16/3 B -2x-In…

A: Given that       ∫3x53x4+6x3-3x2-6xdx  We can re-structure this integral as…

Q: Sanna and Obadia argued about the definition of L e-x 1 dx - Sanna split the integral as -X e [54 dx…

A: We need to explain integral split.

Q: Inx Complete the following table to evaluate the limit lim X-400 √x Step Explain the step In x lim…

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Q: x2 £f* dx X A) True B False tan 1²d/= 2x tan.x²

A: We have to find derivative of given integral.

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: For the function y=x√ find the values of x for which the rate of change of y with respect to x is 6?…

A: Given: y=xx ⇒y = x32 Rate of change of y with respect to x is defined as dydx

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: This question is related to definite integration, we will solve it using given information.

Q: For each function graphed below, state whether it is one-to-one. Graph 1 Graph 2 8- 4- 6+ 2+ 4-…

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

A: Washer Method

Q: 50 [" ( ax³ + bx² + cx) dx = 2b = 25 150 x ²6 x²dx -50 0 A) True B False

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Q: Differentiate: y(x) along the curve xy =ex Show all working out.

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Q: sin ydy (4 + cos y)²/3

A: We know that integration of xn is xn+1/n+1 +C. Here C is integral cosntant.       Here i attached…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

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Q: S²- 16-x2 A 2 B) 8 0 None 4 E dx is equal to

A: I am attaching image so that you understand each and every step. Option "C" is correct answer.

Q: y= 3x²-1 2 2x+5

A: Given problem:- y=(3x2-1)/(2x+5)   Find derivative using quotient or product rule

Q: What is the definite integral represented by the limit lim (+4) Ax, on the interval [-1,1]? n-x •…

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Q: Let f(x) = 8x³ - 4. What is the value of c on the interval [0,2], such that f(c) equals the average…

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Q: [ sin(mx) cos(nx) dx. Suppose m and n are constants and mn. Evaluate 1 1 1 (A) -cos(m-n)x x+…

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Q: If •S" (x + 5) dx = 14, then the value of b is equal to A) None B 2 C 4 D -3 (E) 3

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: ·S. The integral of sect S S x dx x²+√√√x². sece tane de sece - 1 sec²0 do 1+tano cose de 1-sine…

A: Given Problem:-

Q: 5. Evaluate , x dV where S is the region (solid) bounded by x = 0 and x =

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Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² A +…

A: Since you have asked multiple questions , we will solve first question for you. If you want any…

Q: 19. dx 1 Je²x_8 2x -8

A: The solution is given in the next steps.

Q: y=(-4x²-5x²) (7x - 2)

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Q: Evaluate tan" (x) sec4x dx. 1 ¹__tan (m + 1)(x) + ___¹__tan (™− 1)(x) + C A. m+1 m-1 1 1 -tan (m…

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Q: Which of the following is or is not an improper integral? Clearly explain your choice. A. ₂dx B. dx…

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Q: Which of the following equations correctly states the Product Rule of Differentiation? dy = = f(x)g…

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Q: Evaluate: 00+ • exdx

A: SOLUTION-

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

A: We have to find the radius of inner circle

Q: Find the value of integration of Semi-deviant manner when y-n found the real integration facilities…

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Q: the correct steps to evaluate cos²20 dº is 0 One of Ⓒ[-[²04 A de sin²20d0 0 0 [1²4] B de- cos 40d0…

A: We use double angle formula  cos(2x) =2cos2(x)-1  cos2(x) =(1+cos(2x))/2

Q: The integral S₁ substitution is used? dx (x²+4)² can be transformed to which of the following when…

A: Let's integrate by using trigonometric substitution.

Q: 2. Find the horizontal asymptotes of the following functions. √9r²+1+2x+1 (a) f(x). 4x +3

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Q: St. -4 16-x² A 4 (В 2 (C) 0 (D) None (Ε 8 00 dx is equal to

A: This is based on the definite integral.

Q: S Evaluate: A None 1 dx (x-3)2 (в B D -I (E) ∞ (does not exist)

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Q: y" + 4y = cos²x

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Q: Use the table to the right to find the given derivative. d xxx) 1x=5 (Simplify your answer.) |x=5 X…

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Q: If " (x+5) dx = 14, then the value of b is equal to A) None B 2 (C) 4 D -3 (E) 3

A: Given

Q: [³ sin√xcos√x √x 0 A) None Зл B 256 Зл C 512 3 D 256 3 E 512 - dx is equal to

A: Given, ∫0π24sinxcosxxdx

Q: x-m+ 3x4+6x3 3x2 - 6x A B C — + x-1 x + 1 x+m +. dx. Find the sum of A, B, and C. D

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Q: Find S- y dy using the substitution u +5=√y+2. y+2 (A) (√3+2-5) (5√/F+2-1+24) +C 3 B…

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Q: A particle is moving with acceleration a(t) = 30t + 8. its position at time t = 0 is s(0) velocity…

A: topic- integration

Q: 2. [e1/² cos 2tdt Set/2

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