Consider the function f(x) = 2x^2 + 3x - 1. Find the value of x that maximizes the function.

Q: Let f(x) = 3x²-2 and let g(x) = 5x + 1. Find (f+g)(3). (f+g)(3) = (Simplify your answer.)

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Q: If F(x)= f(xf(xf(x))), where f(1) =3, f(3) =5, f '(1)=3, f(3) =4, and f(5) 5, find F (1). F'(1) -

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Q: -10 / -5 TT 10 -5 0 -5 -10 X VE O 5 Sketch #3 is 10 Sketch the graph of a polynomial function that…

A: Given :- A polynomial function that meets these requirements: Leading term is  Has zero at To…

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Q: 27. f sec³x tan x dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: -5 100- 5 5.0 10 Here is a graph and an equation that one of your classmates made on Scree 8: y =…

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Q: The answer

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Q: 1. Find dz/dt where z = x²y-xy³, x=t² and y=t² 2. Find the derivatives 2₁ and 2 where z= sin x cos…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: For absolutely maximum and minimum then the first derivative is zero

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu²…

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Q: 2. Find the derivatives z₁ and 2 where z= sin x cos 2y, x = s + t, and y = s-t

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Q: Write the first five terms of the sequence that has the general term an (n + 4)(n+5) Put your answer…

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Q: for a Certain stretch of Road, the Distance du +1) required to stop a car that is traveling at speed…

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Q: in the first the volume of the area y = 4-x² and the the y-axis. Plot Determine bounded by the strip…

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Q: Let f(x)=2x²-4 and let g(x) = 5x + 4. Find (f + g)(5). (f+g)(5)= (Simplify your answer.)

A: Let f(x) = 2x2 - 4 and let g(x) = 5x + 4 Find (f + g)(5)

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use the information about values of the functions and their derivatives to calculate H'(3), where…

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Q: For the given equation, list the intercepts and test for symmetry. y=x³-512 What are the…

A: The given equation is,

Q: can be worth more or less including zeroj depending on your answer The three-dimensional figure…

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Q: Perform a test to determine if b lim Stan(60)do=[ b→x/120 (Simplify your answer.) x/12 O Converge…

A: We know an integral is called convergent if it has finite value otherwise its divergent.

Q: Evaluate f x dx 2 √4x +9 Show all work.

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Q: Find the exact value of the expressions cos (a + ß), sin (a + ß) and tan (a + ß) under the following…

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Q: Evaluate the integral with new limits of integration. (Use symbolic notation and fractions where…

A: Given that a integration and we solve this integration by using the general property of integral.

Q: Express the number in terms of i. -√√-28 O A. - 14i OB. 2√7i OC. -2√7i OD. -7√2i

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Q: Find the curl of the vector field F. F=x²yzi+xy²zj+xyz³k curl F = Di+Dj+ Ok

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Q: Find the area bounded by the curve, y = 4 – x^2, and the axes. Plot the figure. show complete…

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Q: dx 8 00 4x2+1 ·00

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Q: A polynomial function f of degree 5 whose coefficients are real numbers has the zeros 1, 5i, and…

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Q: Approximate 131/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

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Q: 4. The diagram is a rectangular prism. Let ủ = AB, v = AD and w = AE. Express each vector as a…

A: Given ,  and

Q: 11. Find all critical points of the function f(x, y) = x4 - 2x² + y² - 4y + 5. 12. Find all critical…

A: To find the critical point, let's calculate partial derivative of given function with respect to x…

Q: Find the linear approximation of the function below at the indicated point. f(x, y) = 26x²4y2 at (1,…

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. 3y^5 - 5xy^3 =…

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Q: Prove that if the limit of f(x) as x approaches c exists, then the limit must be unique. ( Hint: Let…

A: Let us consider that the limit of the function is not unique.  Then, we will prove that our…

Q: Estimate the instantaneous rate of change of h(t) = 2t² + 6 at the point: t = 3 In other words,…

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Q: Let s(t) = 8t³ +24t² - 192t be the equation of motion for a particle. Find a function for the…

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Q: Find symmetric equations of the normal line to the surface 4z + 2y + 4z = 24 at the point (2, 4, 2).

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: We know that the formulacos(theta)=(a.b)/(|a|.|b|) Where theta be the angle between two vector

Q: 1 Let f(x)=√√4x-3 and g(x)= . Find (f+g)(x), (f- g)(x), (fg)(x), and (f+g)(x) = (f-g)(x) = (fg)(x) =…

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Q: The curves r₁(t) = (3t, t², t4) and r₂(t) = (sin(t), sin(4t), 5t) intersect at the origin. Find…

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Q: 1-6 Evaluate the integral by making the given substitution. 1. fcos 2x dx. u-2x 2. fx(2x²+3) dx, u=…

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Q: 5 0 Build it. Select the factors that multiply to create a polynomial with this description: (1)…

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Q: Determine whether the improper integral diverges or converges. 66 x-7 dx

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Q: (e) an (f) an = √n+1-√n (g) an = √n²+1 n = 2n n! [Hint: First prove that an ≤ 4/n for all n € N.]

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Q: (1) Leading term is 12x5 (2) Has two non-real complex roots 1 (3) Has a real root at x = 3 2 3 4 9 -…

A: We have three statements1. Leading term is 12x52. Has two non real complex roots 3. Has a real root…

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Q: Which graph is the -10-9-8-76543210 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 4 9 10

A: Explanation of the answer is as follows