Find the extrema of the following function on the given interval, if they are any, and determine the values of x at which the extrema occur.

Q: The definite integral that will give the area of the region S using HORIZONTAL strips is +9 Solve -…

A: The simple integration using diagram... Find out area

Q: Let 1 9 ift < 5 B(t) = 5 √t+c ift ≥ 5. Find the value of c so that lim_ B(t) exists. t-5 -

A: This question can be solved using the concept of limits.

Q: 3.. cos(x) is not an odd function O True O False

A: Given query is to find statement is true or false.

Q: appropriate formula for 9. What is the f sin7 x cos x dx ? A) sin x cos x dx | cscx cosx dx B) C)…

A: We have to find solution of given indefinite integral.

Q: 6 5 4 1 -7-6-5-4-3-2-1, 1 2 3 4 5 6 7 -3. -6 147

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Q: Let R be the region bounded by the parabola y = 4x² and the line y = x + 2. (a) Find the area of the…

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Q: 36. Which one of the following is true for all z ER? (a) z sin(2) dx = (1-2) cos(x) + C (c) (b)…

A: Now that we know that the integral of x sin x is equal to −x cos x + sin x + C, we will derive this…

Q: a = [0,-1,7] and b = [2,4,-3].

A:

Q: (b) Given that s² + 16 (s − 1)(s + 3) (s² + 4) (s Evaluate the values of A, B, C and D. - A B + 1)…

A: We have to do partial fraction of given algebraic expressions.

Q: Determine the interval(s) on which the given function is increasing. 6 3 2 1 -5 4 -3 -2 0 4 0…

A: Use graph

Q: 12 14 16 18 - 3 9 27 81 ume the first term is a₁ 3 2 20 243 --}

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Q: Consider a function f that is continuous on [-2, 4] with f'(x) = 0 whenever x = 3 or x = 5. Suppose…

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Q: 22-23. Which of the following is the area. enclosed by y=x²-4 and y = x -4? A) √²(x-x²) dx ²(x² -…

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Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

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Q: 6. lim x-3 x2+4x+3 x+3

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Q: Find the second derivative of the function. f(x) = 5(2 − 7x)ª

A: Given query is to find the second derivative.

Q: Solve the given differential equation by finding, as in Example 4 in Section 2.4, an appropriate…

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Q: Solve the given differential equation. All solutions should be fou dy x6 - 2y dx X NOTE: Use c for…

A: We have to find out solutions

Q: Justify your answer whether the following functions are continuous or not at a certain point or…

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Q: ) Find the integration by using Partial fraction method ITY x² + 2x + 1 (x² + 1)² dx

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Q: Q3: Find the length of y=√x+2,1 ≤ x ≤ 7, Using ds = Y 04 1+²dy rotating

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Q: The graph shows the velocity v(t) of an object. V(t) 4 3 2 1 5 V(t) 0 1 2 3 4 7 8 9 10 t Calculate…

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Q: Which of the following functions represents the graph of f(x)=√x+1-2? 6 5 4 3 2 f(x) -10 6 7 -1 O O…

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Q: f(x) = ln(x − 1) at x = 2

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Q: A. Find the determonant of the matrix A 2 1 -21 -1 -2 -1 4 3 132 2 1 1 2 2-31 ܝܪ ܠܕ ܬ ܨܐ 1

A: To find the determinant of the matrix A=121-2-1-2-142132-212-3.

Q: Direction: Prove by mathematical induction that k3²(+1)² for all n E N. Use the definition of the…

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Q: Given the graph of a radical function, which statement is correct? 4 3 2 1 4 -3 -2 -10 6 7 -2 -4 OR:…

A: Use graph

Q: Graph the following function. Show at least two cycles. Use the graph to determine the domain and…

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Q: y=24x dy/dx=_____? 2. Find the derivative of the following function. A=860(1.610)t A'=_____?…

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Q: -7-6-5-4-3-2- 6 5 4 3 -2 -5. -6. H 1 2 3 4 5 6 7

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Q: Compute the value of representation ³√√√3-i in exponential representation and polar

A: Given :3-i3

Q: Given cost and price (demand) functions C(q) = 100q+43,000 and p(q) = -1.9q +880, how many items…

A: Given problem:- Given cost and price (demand) functions C(q) = 100q+43,000 and p(q) = - 1.9q + 880…

Q: d dx [3 sin³ (tan √x² + 3x²)] d [(x² + 1) cotx dx 3 cos x csc x

A: Given

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a = j + k, b = i +4j…

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Q: Find the integration by applying (by part method) f Sin-¹y dy

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Q: Use the geometric series formula 1 ∞ x³ 1 - = Σy to express the function as a series: n=0

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Q: Let f(x) = tan¯¹(cos(2x)) f(x) =

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

Q: Find the exact length of the curve. y 1x²-1-In(x), = 4 2 1 ≤ x ≤ 8

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Q: Integrals question! Find the total area enclosed by the curve f(x)=x3 -4x and the x-axis, between…

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Q: Explain how there exists an appropriate dot product technique for both Cartesian and Geometric…

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Q: For y=f(x)=x²-2x+7, find dy and Ay, given x=4 and Ax= -0.2. dy=(Type (Type an integer or a decimal.)

A: Use formula and put value

Q: A can is dripping out water at a rate of r(t) = 12/17 If the can held 50 cm³ of water at time t = 1,…

A: If rt is the rate of dripping out water from a can then volue of water dripping out after t time is…

Q: The function f(x) = 2x³-36x² + 210x + 11 has one local minimum and one local maximum. Use a graph of…

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Q: 2-x x+²√√x+2-√√3x-2 c) lim-

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Q: If we let u = cos t, then the integral [(sint). In (cost) dt can be expressed as - [In(u) du 0…

A: An integral is given. We have to write the substitution form of the integration in terms of the…

Q: Solve the initial value problem y"+y=f(t), y(0)=y'(0) = 0, (21 2t if 0 1

A: Here is the solution of the given problem. We solve this problem by using Laplace transformation

Q: The graph of f(z) is given below. Which of the following statements about f(z) are not true? Note:…

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Q: Which of the following functions has a horizontal asymptote at y = 2?

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Q: What is the formula for the total distance traveled by an object with a velocity v(t) = O - ¹ sin…

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Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

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