Use calculus to find the open intervals on which the function f (x) = x +4√1 − x is increasing or decreasing. - If the function is never increasing or decreasing, enter NA in the associated response area. increasing: decreasing: P

Q: Use the limit definition to find the instantaneous rate of change of f(x) = 3x^3 - 4x at x= -3

A: Question is solved.

Q: Problem 7. (1 point) Find a solution to A(t) = dt 9A if A(0) = 3. help (fo

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Q: d. y = ار نے

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Q: Compute the given integral. fcos¹ a a sin ædx = +C

A: Our Aim is to evaluate the integral given below:-∫cos7 (x) sin (x) dx -(i)

Q: An arithmetic sequence begins 7, 13, 19, 25, 31, ... (a) Find the common difference d for this…

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Q: Differentiate the following function. You do not need to simplify the derivative. dy dx || y = 2e²²

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Q: Find the directional derivative fü(9, 2) for the function 37 - 47 5 f(x, y) = xy + y³ with u = fű(9,…

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Q: The following factors correspond to which one of the following equations: (x + 1) (x - 6)? x^2 + 7x…

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Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

A: We have to find partial derivatives and new values of x and y .

Q: a) b 5. c) [ 4x²-3x+2 dx. x Evaluate f Solve the initial value problem = cost-2 sint, z(0) = dt Find…

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Q: Find the Taylor Series generated by f(x) = (7 · X) ² at X=6 : f'(x) =__9 (7-X) 10 90 ƒ"(x)= (7-x)"…

A: The given function is fx=17-x9 centered at x=6

Q: 5. The population, P, of an island, y years after colonization is given by the function P = a. What…

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Q: Find fxy(x,y) if f(x,y) = (x5+y³) 7. fxy(x,y) =

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Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below

Q: Question 17 > At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 16…

A: Please see the below picture for detailed solution. I answered question number 17.

Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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Q: 1.3: The derivative of the function sin(cos x) is a) cos(cos x) b) cos(-sin x) c) sin x cos(cos x)…

A: The given function is: fx=sincosx As we know from the Chain rule: fgx'=f'gx·g'x And the common…

Q: Find the first five terms of the sequence. 011/5 82=1/25 83 1/125 841/625 85 1/3125 50 Determine…

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Q: Find the area S of the shaded region in the figure if ƒ (0) = 0² + 30. Note that 0 varies from 0 to…

A: To find the are S of the shaded region in the figure if fθ=θ2+3θ Note that θ varies from 0 to…

Q: Q6. Evaluate S¹, S₂ Sp dz dx dy.

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Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

Q: car rental companies. Cars R Us charges $100 up front, plus 10 cents per mile. Thrifty Car Rentals…

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Q: SEND IN 20 MINUTES PLEASE !!!! Find all extreme points (maxima, minima, saddle points) of…

A: Extreme points of the function fx, y=2x3 + 2y3 - 9x2 +3y2 - 12y

Q: Enter the exact answer. tan B FREE B 55 Figure 1 4

A: Please refer attached file for solution below

Q: Find the area of region A in the figure if the equation of the boudary is r = 4 cos (0). r=1 A A = X…

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Q: Below is the graph of y = x² +5. 141 12- 10 -2 -1 8- 6- 4- 2 0 1 2 3 The area bounded by y = x² +5…

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Q: Q4. Find the values of the constants a, b, c so that F = (axy + bz3³)ī+ (3x² - cz)j + (3xz² - y)k is…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: Consider the equation x^(2)e^(y) +3y=1. a.) Find dy/dx by implicit differentiation. b.) Find the…

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Q: car company has $44,000 to spend on robots to put paint on new cars. There are 2 types of robots,…

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Q: 1. The Louvre museum in Paris features an inverted square pyramid with a height of 10 m. The side of…

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Q: 2x²-3x + 10 dx (x²+4)2

A: The objective of the question is evaluate the indefinite integral.

Q: Solve the differential equation xdæ +sin? (%) [yda — xdy]=0 2x a. 4x In 2y + x sin (2²) = 0 O b. 4x…

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Q: O Use 1st and 2nd derivatives, sketch the graph of given function 2x x² - 1 f(x) =

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Q: Find 2 -1 (3x³ + 7x¹) dx

A: Here we have to solve definite integral

Q: centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 8…

A: The volume of a pyramid isBh3 , where B is the area of the base and h is the height of full pyramid.…

Q: Calculate the definite integral by referring to the figure with the indicated areas. d d a f(x) dx…

A: Solution

Q: 2. Use the process of implicit differentiation to find given that sin(4x) + sin(2y) =

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Q: Find the linearization of the function f (x) = x6 at x = 1. L (x) = Using this linearlization, f…

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Q: (7) Find sin(5x) cos(4x) dx

A: Topic:- application of integration     Note:- as per our guideline if more than one question…

Q: Find the directional derivative fü(9, 2) for the function 37 - 47 5 f(x, y) = xy + y³ with u = fū(9,…

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Q: . A rectangle has a perimeter of 6x + 9x² - 10x +5 and a length of x. Find the width of the…

A: Given: Perimeter of the rectangle is 6x3+9x2-10x+5 and length is x.we need to find the width when…

Q: Find the area of the sector of a circle with diameter 32 feet and an angle of 45 Round your answer…

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Q: 1.5: The area of the region enclosed by the graph of f(x)=√x and the x- axis on the interval [0, 4]…

A: Area bounded between the curves : Consider the curve y=f(x) and x-axis on the interval a,b , then…

Q: Evaluate the indefinite integral. 2x - 3 (2x² - 6x + 6)² dx + C

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Q: Find the domain and range of the function.   ​G(t​)=1/t2-25

A: Given,            Gt=1t2-25To find : Find the domain and range of the function.

Q: Evaluate the integral by interpreting it in terms of areas. 4 to −9(1 − x) dx

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Q: 34. x sec xdx

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Q: Solve the differential equation dy dx 9xy - 2y² 6x² xy O a. 3y³ O b. 3x³ x²y = 2y² x²y = 2y² O c.…

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Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

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Q: Prove, using the definitions of tanh and sech in terms of the exponential function, that 1 − tanh2…

A: Substitute the exponential function of tanhx in the equation