Evaluate the integrals of the following C1i. f(Se-x+3x, (x0)

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A: We will find the required.

Q: -6 -5 -4 -3 № 10 8 4 2 -2 4 -8 -10+ 1 2 3/4 The function graphed above is: Concave up on the…

A: Solution below

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Q: - Q3. Find the point on g(x) = 2x(x − 3) whose slope is 6.

A: To find the point on gx=2xx-3 whose slope is 6.

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: arctan(x) + arctan Let f(x) = arctan(x) + arctan f'(x) = Thus, f(x) = C = f(1) π To find C, we let x…

A: To prove:- arctanx+arctan1x=π2, x>0

Q: Consider the function f(x) = 2√x+4 on the interval [3,9]. (A) Find the average or mean slope of the…

A: f(x)=2x+4(A) slope=f(9)-f(3)9-3

Q: Find the norm of v. NOTE: Enter the exact answers. (a) v = (3,-3) ||v|| : = (b) v = −7i+j ||v|| : =…

A: As we know that, If the given vector is v=xi+yj+zk or x, y, z then the expression for the norm of…

Q: Evaluate (2x + y)ds, where C is the line segment from (0,2) so (3,-2), i.e., C: r(t) = (3t, 24t), 0…

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Q: What is the area of this figure?

A: Here we have to find the area of the figure.

Q: A car drives from Tucson to Phoenix, and is d miles from Tucson after t hours. t d 0.5 1 43 1.5 2 3…

A: Answer: The solution is given below:

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Q: 4 M t 1 C- ts- 2- 1- o 14 T . E- T о O f(x)=-=(x-2)²-2

A: Given query is to find the graph of the function.

Q: Evaluate the improper integral or state that it is divergent. 20x 64+x² ㅇ둡 01 On+8

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Q: Use the graph of f" shown below and the letters A, B, C, and D representing x values to answer the…

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Q: not all questions are answered, and are incorrect

A: According to me all questions' answered are correct

Q: Find the area enclosed by the curve x = t² - 2t y = √t and the Y axis.

A: Eliminate the parameter t and draw the graph then find the definite integration to get the area.

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Q: Find the missing value. y varies inversely as x. y = 10 when x = 5. Find y when x = 2. 3 O y = 10 O…

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Q: (a) Find the domain of the function. (Enter your answer using interval notation.) √x 2x 11 g(x) =…

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Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral…

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Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (2z - 4x³ - 4y - 1) 1…

A: The function f(x,y,z) is continuous if the limit at each point is existing and is equal to the…

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. O 1747 840 1171 280 1747 420 1171

A: Solving the following problem

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Q: Which of the following integral gives an equivalent area solved by the integral: S™/6 O So -1 cos…

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Q: Question 11 The differential equation y' = 2y+sin x is Select the correct answer. O a. linear O b.…

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

Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. 0 0 O 02-6) dx 을 3/

A: H=∫-11(x2+6)dx∆x=b-anT4=∆x2f(x0)+2f(x1)+2f(x2)+2f(x3)+f(x4)

Q: Find f-1 (x) for f(x) = - 5 3x-2 O f-¹(x) = ³xx 3x-2 5x O f-1(x) = -3x + 2x 5 3x 2 O f-¹(x)= ³x-² 5…

A: In this question, we want to find the inverse of the given function.

Q: By the Horizontal Line Test, the graph below represents a one-to-one function.

A: Horizontal line test - If a horizontal line intersect the graph of a function more than once then…

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Q: Explain how you would prove if four given points are coplanar. Use the method you described to…

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Q: Consider the function f(x) = 5(x-4)2/³.

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Q: Find the limit by rewriting the fraction first. xy-2y-9x+18 x-2 lim (x,y) → (2.2) x=2

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Q: In the figure below, set-up the integral expression when the area bound by the functions y = the x =…

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Q: Maximizing Profits An apartment complex has 100 two-bedroom units. The monthly profit (in dollars)…

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Q: Maximizing Profits The management of the producers of a famous hot sauce estimate that their profit…

A: To solve the following problem and find the largest possible profit the producers can make in 1 day

Q: 6. f(x) = (x+3)(x - 5)√x-3

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Q: Find the linearization L(x) of the function at a. 3 f(x) = √√√x, X, L(x) = a = 125

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Q: Let u = i-3j+9k, v = i + j and w = 2i +2j - 4k. Find ||u+v||. NOTE: Enter the exact answer. ||u+v||=

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Q: Consider the following series. n = 1 Find the following limit. (If the limit is infinite, enter 'co'…

A: Please see the below picture for detailed solution.

Q: Write a mathematical model for each of the following statements. Use k as the constant of variation.…

A: The statement is: y varies inversely as x To determine: the mathematical model for the given…

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Q: Consider the function f(x) = 3 - 8x2 on the interval [-5, 7]. (A) Find the average or mean slope of…

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Q: 15. Consider a box with dimensions 3 cm x 5 cm x 11 cm. If all of its dimensions are increased by x…

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