Can you explain how I can find the area of y=1/x^3/2, x=4, the x-axis to the right, and y=x^-4/3, x = 8, the coordinate axes, area in the first quadrant

Q: Find the given higher-order derivative. f"(x) = −cos(x), f(7)(x) f(7)(x) =

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

Q: (2) Let f(x) = -3 sin (1x + 1). (d) State how you can obtain the graph of y = f(x) based on the…

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Q: Q2: Find the absolute maximum and minimum of the function f(x, y) = x² + y² on the closed triangular…

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Q: Let F(x, y, z) = (6e* sin(y))i + (6e* cos(y))j + 7z²k. Evaluate the integral F · ds, where c(t) =…

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Q: Find y as a function of if y(0) = 18, y'(0) = 28, y'(0) = 21. y(x) = y"-9y" + 20y = 24e,

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Q: x = 3 sin(t), y = cos(t 2 urve of intersection of the surfaces z = x² an

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Q: James wants to save $46,000.00 for a down payment on a home. How much will he need to invest in an…

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Q: a. Use the continuity checklist to show that f is not continuous at the given value of a. b.…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: Find a plane containing the point (3, 2, 1) and the line of intersection of the planes - 3y 3z = -2.…

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Q: Solve the equation. m+ 2 m²+4m-5 2 m+ 10m + 25 m-2 m² + 4m-5

A: Given Equation

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Q: Does the series 1 √5 +8 Σ converge absolutely, converge conditionally, or diverge? Does the series O…

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Q: Calculate the following integral. *If answering with a decimal, use 2 decimal places. Otherwise…

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Q: A graphing calculator is recommended. Use the Squeeze Theorem to show that lim xcos(9x) = 0. 0+x…

A: Squeeze Theorem:Let f, g and h be real functions such that  on a common domain, then for some real…

Q: Determine whether the lines L1 and L2 given by the vector equations are parallel, perpendicular, or…

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Q: ót TT 64 on 3 L L de de 5 6 V= 8 10 The graph above shows the base of an object. Compute the exact…

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Q: 8. Refer to Figure 1.2, Hexagon Pattern. Assume that each edge of the hexagon measures 1 cm. Assume…

A: Given that a  hexagonal pattern and we find some problem solution.

Q: S (cot(x)) ² (csc (x)) ³a 2 3 dx

A: formula used ...

Q: 8 -7 -6-5 50 46 f(x) 54 -4 -3 44 42 38 -2 −1 0 1 2 34 32 29 27

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Q: Q2: A particle move on the path has parabola shape with equationf(x) = a + bx + cx²; Find the…

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Q: Find the solution of with y(0) = 9 and y'(0) = 7. Y y" + 3y = 126 sin(3t) + 162 cos(3t)

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Q: Find the limit. (If the limit is infinite, enter 'o' or lim x+ 2x² 9x - 1 as appropriate. If the…

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Q: Calculate the following integral. *If answering with a decimal, use 2 decimal places. Otherwise…

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Q: sgn(x) = O -1 0 1 ketch the graph of this function. y (1) if x 0 2 lim sgn(x) 2 4 X (b) Find each…

A: sgn⁡(x)={−1 if x<00 if x=01 if x>0

Q: A particle starts by moving to the right along a horizontal line; the graph of its position function…

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

Q: Part D. Problem Solving: (1) Predicting the Cost of a Compact Car. In 2010, the cost of a compact…

A: Solution-Given in 2010, the cost of a compact car averaged $8000, In 2013, the cost of a compact car…

Q: Find for each pair of functions. dy dt y = x2 - 2x, x = t? + 8 dy = 2

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Q: Find dy by implicit differentiation. dx x²10xy + y² = 10 dx ||

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Q: Let f(x) = 14 if -1 Determine the following: lim f(x) 2-1 Can be found, lim f(x) = 2-17 Does Not…

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Q: nsider the function f(x) = 4x - x² and the point P(2, 4) on the graph of f. Exercise (a) Graph f and…

A: We need to find the slope of the secant lineStep 1)

Q: (a) Use a graph of F(x) = (1-3)* to estimate the value of lim (f(x)) correct to two decimal places.…

A: Given that a function f(x) and we find limit of this function.

Q: Find the distance (d) between the planes 2x d = 24 and 2x Z -17.

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Q: EXAMPLE 6 Find an equation of the tangent line to the parabola y=x² - 4x + 5 at the point (1, 2).…

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Q: Let f(x) = cos x and g(x)=√x, where 0 < x≤ 2. Let S be the composition of g with f, S(x) = g(f(x)).…

A: f(x)=cos⁡x and g(x)=x, where 0≤x≤2π.

Q: Show that_(csc(x)) = −csc(x) cot(x). dx d (csc(x)) = dx || = dx sin²(x) 1 sin(x) 1 = = -csc(x)…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Describe the set of points in space whose coordinates satisfy the given combination of equations and…

A: Signs of quadrantsGiven Here Solution : 3rd quadrant of yz-plane.

Q: Find the derivative of the function. f(0) = cos(8²) F'(8) =

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Q: Use the definition of continuity and the properties of limits to show that the function is…

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Q: Let f(x) f'(2) = ƒ(a + h) − f(a) Using the definition of derivative, f'(a) h enter the expression…

A: f(x)=

Q: derivative of in, in (-3,0) the direction of P P(-3,0),

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Q: Evaluate the limit lim x →∞ (8 - x)(6 + 7x) (310x) (7 + 4x)

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Q: EXAMPLE 3 Video Example Suppose that a ball is dropped from the upper observation deck of a…

A: The blanks are filled in step 2. And answers to a and b are given in solution

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Q: EXAMPLE 4 Video Example Find the derivative of the function f(x)=x²-9x + 8 at the numbers (a) 5 and…

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Q: Which of the statements describe continuous functions? Select all that apply. The cost of an airline…

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Q: Differentiate the function. 6w² P'(W) = P(w) = 4w + 8 VW

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Q: sin 3x cos 2x dx

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