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Q: dx Evaluate: x2+ 8x + 20 A In (x2+ 8x+20) B) None C sin -1 +C (D tan +C X+4 E tan +C F -sin 2 +C 2 2...

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Q: Suppose a person with x years of eduction before seeking regular employment can expect to receive an...

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Q: Evaluate the given integrals. 5. S(1 – cos 0) csc²0 d0 -

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Q: Evaluate the definite integral by the limit definition. x dx

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Q: Prove by cases that 25x² + 35x is an even integer whenever 5x-7 is an integer. Note here that the va...

A: Apply the condition for 5x-7 to be an integer case by case. 

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis T y = s...

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Q: (2) Find the value of B (,-)

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Q: Question 7 of 8 > -/5 View Policies Current Attempt in Progress Consider the points A(1, –1, 4), B(2...

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Q: Evaluate the following limit, if it exists : lim_ (tan 292 – sec 29z) 58 Note: Write the exact answe...

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Q: 0.74-1 k-1

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Q: Given the function 3x + 5 I 0 Calculate the following values: f( – 1) = %3D f(0) = %3D f(2) = %3D

A: For x < 0 f(x) = 3x + 5 For x ≥ 0 f(x) = 3x + 10 f(-1) = ? f(0) = ? f(2) = ? -1 < 0 f(x) = 3x ...

Q: A math tutor charges $30 for the first hour of work at your house and $20 for every hour (or fractio...

A: Use the value of x for finding the limit. 

Q: 5. Find the volume of the solid obtained by rotating the region bounded by y = x³,y = 0, x = 1 about...

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Q: B.Determine f (x) given that f'(x) = t* – t3 + t2 +t-1

A: We have to integrate the given function to calculate f(x). Integration of xⁿ = (x)n+1/n+1

Q: 2+ x, x lim g(x) c. g(2) < lim g(x) d. g(2) # lim g(x) X-2 X-2 X-2 X-2

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Q: -4 c) f(x) = In

A: Given query is to find the derivative of the expression.

Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the are...

A: Let's find. 

Q: Q3) Find the limits of the following functions V2+12-4 3.lim t2+t-2 tan3x lim X-0 sin8x 1. lím 2. t-...

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Q: a) Oppositely directed to v = (1, —2) and half the length of v. w=  (b) Length and same direction a...

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Q: A vehicle depriciates according to the formula: v = Find the value of the car when it is 12 years ol...

A: Given query is to find the value of the car after 12 years.

Q: Find the area of the triangle with vertices P(1, 4, –2), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the ex...

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Q: 35. Tell if the following infinite series converges absolutely or 1* (-1)"? conditionally En=1 In n ...

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Q: S. dx Evaluate: x²+ 8x + 20

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Q: When the qiven function f(x) = cx^3 - 3x^2 + dx - 4 is divided by (x+2), the remainder is -34. When ...

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Q: Consider the scries > (-1)k (2k + 1)3* k=1 (a) Show that the scries is convergent. (b) Determine how...

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Q: S sec?xdx Which of the following is the same as which will lead us to the correct evaluation of this...

A: We need to choose correct option.

Q: An inverted cone has a height of 15 mm and an initial radius of 16 mm. The volume of the inverted co...

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Q: The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 3...

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Q: 3. у?dx + (x2+ 3ху + 4у?)dy %3D 0; when x —D 2, у %3D 1

A: Explanation of the answer is as follows

Q: x+2 (8) Let f(x) = values of x at which the function is discontinuous. Determine the + x – 2 Determi...

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Q: Let g be a function that is defined for all x, x + 2, such that g(3) = 4 and the derivative of g is ...

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Q: (1+ cot x) dx Evaluate: sin?x/9- cot?x cotx A - sin - 3 9- corx +C B) None

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Correct region and solid÷

Q: The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters fro...

A: Mass

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 40 Cos 40 d0

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Q: Question 3 Find the center and radius of the circle whose equation ís z² + 4z + y² – 1 = 0. The cent...

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. (x³ + 1)² dx

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Q: Robinson makes $200 a week and spends his entire income on running shoes and basketball shorts. Writ...

A: We have to find the algebraic expression for the above statements.

Q: Find the volume of the solid bounded above by the graph of f(1, y) = rysin(r²y) and below by the ry ...

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Q: 2 S dz = 3. S dv

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Q: 1. (a). Find the linear approximation to f(x) = VT at a 81, (b). use it to approximate 85. (c). Comp...

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Q: (6) Shipping fees (or shipping charges) are often based on a formula that offers a lower charge per ...

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Q: Find the critical numbers of the function. f(x) = x³ + x?

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Q: 2x2 (7) Let f(x) = Find the vertical x2 –1 and horizontal asymptotes of the given function. Show the...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

A: Find your answer below 

Q: If f (x) = *dx and f (0) =2, then what is f (2) ? A e+2 B e2+1 C e2 D e2-1 E) None

A: Given that fx=∫exdx  and f0=2To find : f2Solution :

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

A: Given problem:- ∫ 3 tan-1(x) dx 

Q: Consider the initial value problem y = sin(at), y(4) = 1 Use Euler's Method with five steps to appro...

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Q: f(x) | f'(x) || g(x) | g'(x) -1 -7 16 -4 4 -2 1 -1 8 -1 10 11 Assume that f(x) and g(x) are differen...

A: Topic:- function and it's Derivatives

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

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