e. f. f(x) = cot(-) X f(x) = sin(x³ - x)

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Q: The derivative of the function f is defined by ƒ'(x) = (x² + 1) cos (x²). If f(1) = 1, what is the…

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Q: EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100…

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Q: 3. Determine whether or not the series converges. Justify your conclusion. 86 Σ n=1 n² - 2n n³ + 3n+…

A: Solution is given below:

Q: If  F(x) = f(9f(8f(x))),  where  f(0) = 0 and f '(0) = 1,  find  F '(0).

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Q: 9 Calculate (6x + x²) dx, given the following. 1 9 9 √x² dx = 728 3 1 10 √x²dx=271 3 9 9 1 (6x + x²)…

A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx, where a is constant.…

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Q: 10. For the position function s = 313-712-2t,t> 0, choose the correct answer for t=2. a) Is s…

A: Question - For the position function s = 3t3 - 7t2 - 2t ;  t > 0  choose the correct answer for…

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Q: Consider the function f(x) = 10√√+ 6 on the interval [4, 5]. (A) Find the average or mean slope of…

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Q: The sequence is defined recursively. Write the first four terms. a1 = 1 and an = an-1 - 3 for n ≥ 2

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Q: 3) Find the sum of the series (x-8) as a function of x on the domain, and say what the domain is.…

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Q: PO A fence is to be built to enclose a rectangular area of 220 square feet. The fence along three…

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Q: B. If the two planes ax-4y - 9z = 4 and perpendicular. Find the value of a. x-2xy + 3z = 1 are

A: Topic = Geometry

Q: Find the vertex, focus, and directrix of the following parabola. Graph the equation. Verify your…

A: Solve the equation

Q: Find two positive numbers whose product is 14 and whose sum is a minimum. The two numbers are (Type…

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Q: Solve the OPTIMIZATION problems. The inverse demand function for a commodity is given by p=41-0.33q…

A: We have to find the maximum profit.

Q: 1 Find an antiderivative of 9 x¹ +4 x6 ار داشته in the variable x where x > 0.

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Q: Find the radius and center of the sphere [Hint Complete the square in each variable…

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Q: Identify the equation without applying a rotation of axes. 6x² - 10xy + y² +10x+7y-1=0 Choose the…

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Q: Find the limit, if it exists. sin(4x) x Ilm

A: To find the following limit, if it exists.limx→∞ sin 4xx

Q: Solve the initial value problem. dr-csc² 50 cot 50, 42) de 43) dy dx 3 (7) - y(0) = 6 (6 + x)2'. = 3

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Q: Find the limit. Use l'Hospital's Rule if appropriate. Use INF to represent positive infinity, NINF…

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Q: A company that produces cell phones has a cost function of C = 20x² - 541x + 22940, where C' is the…

A: This question can be solved using the concept of maxima and minima.

Q: 9. (2xy + x² + x4)dx = (1 + x²)dy = 0 2 -

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Q: Find the indicated term using the given information. a45 = -137/5 , a17 = -53/5 ; a6

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Q: ) Consider the function h(r) What are the inflection points of h(r)? On what x 5 intervals is h(r)…

A: We will find the required.

Q: the curve whose parametric equations are given and show its orientation. Find the rectangular…

A: Please refer to the image below

Q: Use the Limit Comparison Test to determine convergence or divergence. 3n²+ n=1n²+5n²-7 ∞ Σ Select…

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

Q: Find the limit of the following sequence or determine that the sequence diverges. 6n {(₁+3) ⁰}…

A: We have to find the limit of the given sequence.

Q: 18 2 6x dx using n = 2, 4, and 8 subintervals 2

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Q: 12. If a graph is concave up on an interval, what happens to the slope of the tangent as you move…

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Q: Express the given quantity as a function f(x) of one variable x. The product of two numbers x and y…

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Q: 9x |_the_r-ne S 9x - - 9xdx

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Q: LINEAR DE: FIND THE INTEGRAL FACTOR AND THE GENERAL SOLUTION

A: This question can be solved using the concept of linear differential equation.

Q: Consider the function f(x) = 2x² - 2x +3, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: Use the graph to solve the such a problem to find the absolute extrema.

Q: Show the connection between the slope of a tangent of a function at a given point and its derivative…

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Q: v=√ √31-3j w=i-j gle between v and w; (c) state whether the vectors (a) v-w= (Simplify your answer.…

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Q: Question 1 Nondifferentiable graph.png Find the x-values (there are three values) from the graph,…

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Q: Consider the following function. f(x)=√x-4, What is the domain of f? (Enter your answer using…

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Q: Approximate the area under the curve y = x² from x = 1 to x = 3 using a Right Endpoint approximation…

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Q: A. Show that f(x, y) = (x-1)(y-2) (x-1)²+(y-2)² 7 (x, y) = (1,2) (x, y) = (1,2) at (1,2). 1 is…

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Q: In general, the profit function P(x) of a product or service is defined as the difference between…

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Q: 15. Use a suitable change of variables to determine the indefinite integral. [1²cos² (1³) sin(1³)dt

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Q: Write the equation x = -5y^2 in polar coordinates and state values of theta that produce the entire…

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Q: Find the derivative. S² 5x 39) y = At dt

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Q: c) An asset has a scrap value of RM9,500 at the end of 7 years and the book value of RM12,000 at the…

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Q: Use linear approximation, i.e. the tangent line, to approximate √25.4 as follows: Let f(x)=√. Find…

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