For what value of the constants A and B is the function f continuous on (-∞, ∞)? A√x+6-1 for x < 2 f(x) = Bx² +2 for 23

Q: What substitution should be used to solve the integral O sinu=3x/2 O sec u =2x/3 O sec u =3x/2 O tan…

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Q: 3.2x²+5dx A. In|2x² +51 + C A. B. C. * 4. 4. [ sec²x tanx dx A. tan²x + C 2 A. B. C. B. In|2x² +51…

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Q: Find the length of the arc of a circle of diameter 1010 meters subtended by a central angle of π4π4…

A: Solution ) diameter - 1010 m , angle = π/4 Radius =  1010/2           = 505 m length of arc of…

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A: Given,  ∫ cos7 2xdx

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Q: x $ (0.7-198) Consider the angle shown above measured (in radians) counterclockwise from an initial…

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Q: Question 36 To integrate x³ ex dx, we apply integration by parts and in the form u dv, dv is set as:…

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Q: In evaluating 2 dx 5₂₁²= is same as evaluating lim_cos-¹(f(x))|c. Determine the value of f(x) if…

A: Derivative of cos(x) = - sin(x) We have to find the value of f(x) at x=0.96

Q: Suppose that fn ⇒ f on R and that each fn is a bounded function. Prove that f is bounded.

A: Solution

Q: 1 -dx= (A) True B) False m 100 8

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Q: -1 (a) cos (b) log5 (25) -√√3 2

A: Solved below.

Q: 4. Find the equation of the tangent lines to the curve y = √x and perpendicular to the line 14x +…

A: We have to find the tangent

Q: * 5.8x √4x²+5 dx 2(4x²+5)³/2 A. +C 3 O A. OB. O C. * 6. f 35x-1 A. 35x-1 In 3 O A B 5x-1 dx C + C…

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Q: Consider the diagram shown below. Suppose that O = (0,0) and A = (3.2, 0) and B = (2.71, 1.7). The…

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Q: (1+x3)dy−x2ydx=0; y(1)=2

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A: We will use simple trigonometric formulae to solve this question.

Q: In evaluating 4 2 dx X√ X²-4 is same as evaluating lim cos ¹(f(x)). Determine the value of f(x) if…

A: We have to find the value of f(x).

Q: Find in each of the following. dx sin x 1. y = 1+cosx

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Q: If f is continuous on A) True B False on [a,b], then Sº [ f(x a xf(x) dx = x f(x) dx

A: It will solve by part method integration  ∫u v dx = u∫v dx −∫u' (∫v dx) dx u is the function u(x) v…

Q: If you evaluate the integral expression Blank 1 Add your answer 12x + 1 dx the result is Blank 1…

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Q: f:R+ → R f is a strictly decreasing function. 3 1 f (x) · f ( f(x) + 2x 4 f (9) = ? 1) 3) 1 6 4) 1…

A: Answer is given below.

Q: Assuming that a 360-foot tall giant redwood grows vertically, if I walk a certain distance from the…

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Q: Determine whether there exists a function f : [0, 2] → R or none such that f(0) = -1, f(2)= 4 and…

A: In this question, we need to determine whether there exists any function for the given conditions.

Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

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Q: S= x² +2 (x-2)(x²-2x+2) dx U 2-2x 3 (√(√² ²²2²X + 2 + x ²³ 2₂ ) dx X-2 2-2x

A: given ∫x2+2x-2x2-2x+2dx

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A: Solution

Q: √√²₂√12x+ 2x+1| dx the result is Blank 1 (use fraction or decimal in 2 decimal places, no spaces) -2…

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Q: 2 [² fo Given f(x,y) = x²y-3xy³. Evaluate fdy

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Q: In evaluating S₂²² 2 dx 2 XV x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

A: We have to find the value of f(x) at given x.

Q: Plot the following curves in polar coordinates. 50 1. r = 2 + cos (52) 50 2. r = sin 0 + sin³ (5) 3.…

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Q: (2) Solve for all values of x over the interval [0,27]: 2sin(x) = sin(2x)

A: Topic = Trigonometry

Q: 2. f(x) = 3x4 +√4x; f" (1.2) 6

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Q: A sector of a circle has a diameter of 8 feet and an angle of 7 radians. Find the area of the…

A: Let's find area of the sector.

Q: 1²₁ (886x5)) dx = 0 cos(x3 A) True B) False

A: Answer is following.

Q: 6. (10 x 40) dx - x ²-8 x + 15 7. 10 cot 2x dx 8. (e 5x - e 2x + 8) dx 2 e 5x

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Q: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

A: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

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Q: Given than •[²₁f (2) de = 7 and f (a) da = -5, which of the following is NOT TRUE 6 ® [₂ f(x) dx =…

A: We will solve the problem

Q: (-3)^(x-2)^. II. Consider the power series, √n+2 n=o 1. Use Limit Comparison Test to show that the…

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Q: [²₂1 (²) Given than [ f(x) dx = 3 Ⓒ ® B Lof(² f (x) dx = = [₁, ƒ (² f (x) dx - f (x) dr 1₁° dx -2 3…

A: Given

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Q: please show step by step solution on how to get the circled part with complete explanation. do this…

A: We have to explained the circled part.

Q: All continuous functions have antiderivatives. (A) True (B) False

A: all continuous functions have antiderivative.  But noncontinous function doesn't have. It's true

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A: This question can be solved using the relation between second derivative and concavity of the…

Q: Give the following infinite sum and limit: 8 2n-1 3n+2¹ n=4 a) rsin r (b) lim 20 x² + e²-1

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A: The equation of the curve is given by y = 19x+6 To evaluate: The area of the surface obtained by…

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Q: Setup the iterated triple integral that gives the volume of the solid. Do this by properly…

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