lim ((sqrt 4-h)-2) / (h) h—>0

Q: (1+t)²-1 t b. lim. t-0 =(t+1)

A: Topic - Limits We are given b.)limt→0(1+t)2-1twe know that(a+b)2=a2+b2+2ab

Q: Find the indicated higher-order partial derivatives. Given f(x,y,z) = xyz, find fxyy, fyxy, and fyyx

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Q: Implicit

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Q: a) Graph the function f(x)=2x² + 4x b) Draw the tangent lines to the graphi t the points whose…

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Q: The demand for grass seed (in thousands of pounds) at price p dollars is given by the following…

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Q: (a) Let f(x) = (x + 3)¹, x ≥ 0. Find a formula for f-¹(x). 4 √x-3 Answer: 4 √x-3 x ≥ 81 9 (b) For…

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Q: A line is shown. 10 69 8 7 6 5 4 3 لبا 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 123 4 -5 567 -6 -8 96 -10 1…

A: The slope of a line is given by;  m = (y2-y1)(x2-x1)

Q: Given a function h, defined as h(x) = bx - 4, where b is a constant, which of the following…

A: We have given function  hx=bx-4 Put x=3 h3=3b-4 Similarly, Put x=b hb=b×b-4 hb=b2-4

Q: Distance From Water (ft.) 0 T √ 4 8 8 X 12 Time (sec.) Here is the graph for a new turtle. Use the…

A: Graph for a new turtle is given.

Q: Find the horizontal and vertical asymptotes of the curve. 5x2 + x − 8 x² + x - 12 хх> X || || || X =…

A: Given: y=5x2+x-8x2+x-12   As we know that, To calculate the vertical asymptotes, equate the…

Q: Consider the graph of y = g(x). -4 -3 lim g(x) = ∞ x-0 y 15- -2 -1 0 lim g(x) = ∞ 10+ lim g(x) = -∞…

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Q: b) A farmer wants to put a fence around a rectangular paddock which is part of his block (see…

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Q: sec²x. - y X |dx +N(x,y) dy=0 dx

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Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

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Q: Evaluate the indefinite integral. | a2ea3 dx + C

A: To evaluate the following indefinite integral. ∫x2ex3 dx

Q: Given the function P(x)=-(x-1)(x+3)(x-6) the coordinates of its P-intercept are

A: Given  P(x) = - (x -1) (x+3) (x -6)  Find it's P-intercept.

Q: 18. f(x) = 8x³ - x² 7+11x 4x4 -

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Q: n x + 3xn-kyk +yn 2 x² - y²

A: Given: fx,y=xn+3xn-kyk+ynx2-y2 To find: whether the function is homogeneous or not, if yes find the…

Q: Find the 34th derivative of the function f(x)=cos(x)

A: To find the 34th derivative of the function fx=cos x.

Q: _8. f(x) = 8x³ - x² 7+11x - 4x4

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Q: Determine the amplitude and phase shift for the function, f(x) = sin(x)-5 and sketch at least one…

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Q: 4. Find an equation of the tangent line at the given point. at (2,√5) a. y² = = x-1 x²+1

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Q: Assume the half-life of a substance is 29 days and the initial amount is 175.999999999996 grams.…

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Q: Consider the points P(-1, 1, 0), Q(2, -1,2), and R(1, 1, 3). Show your work for the compu- tations…

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Q: Solve the initial value problem below using the method of Laplace transforms. y" - 3y' - 10y = 0,…

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Q: Average vs. instantaneous rates of change. Frank was monitoring the population of fruit flies as…

A: Note :- Since you have posted multiple questions with multiple subparts, we will provide the…

Q: If k(x)= 3 x - 729 X-9 X k(x) complete the table and use the results to find lim k(x). X-9 8.9 8.9…

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Q: How much work is required to move an object from x = 1 to x = 6 (measured in meters) in the presence…

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Q: Select all of the following graphs which represent y as a function of x. 5+

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Q: Select all of the following graphs which represent y as a function of x. O O -5 -4 -3 -2 -1 -2 -3 -4…

A: The graph represents the function of x if for each x value there is exactly one y value. Also, if…

Q: Let A be the set of face cards (Jack, Queen, King) and B be the set of all of the spades in a…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Evaluate the indefinite integral. [x²e x²e³dx شور داریم و از

A: Our Aim is to evaluate the integral given below:-∫x2ex3 dx-(i)

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.). √1+h 1 h lim h→0

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Q: Part C Ajar of crunchy peanut butter contains 1.69 kg of peanut butter. If you use 8.9 % of the…

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Q: compare the instantaneous rates of change of f(x)= sinx and f(x)=4sinx of the same values of x. what…

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Q: Evaluate the limit lim 6 (²1) y→2_8y²(y − 1)³

A: To evaluate the following limit. limy→2 6y2-18y2y-13

Q: Calculate the integral, assuming that f(x) dx = 2 and g(x) dx = 15. (Give your answer as a whole or…

A: Given ∫05f( x )dx = 2 ∫05g( x )dx = 15

Q: The base of a solid is the region in the xy-plane bounded by the lines x = a and x = b, the graph of…

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Q: Find the horizontal asymptote of f(x) y = = 2x + 4x³4 3x³ + 5x²2

A: The given function fx=2x+4x3-43x3+5x2-2. We have to find the horizontal asymptote of the function.

Q: In a binomial distribution, the value for 'q' is 0.14. Therefore, the value for 'p' is: 0.14 0.86…

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Q: Given that f(x) = x² – 15x and g(x) = x + 6, find (a) f(x) + g(x)= (b) f(x) – g(x)= (c) f(x)g(x)=…

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Q: -3t k Compute the first, second, and third derivatives of r(t) = 3ti + 5 In(t)j + 5e

A: r(t)=(3t)i+(5lnt)j+(5e-3t)k   We are required to findFirst derivative Second derivativeThird…

Q: Find the limit. (If an answer does not exist, enter DNE.) x² - 6x + 8 X-4 lim X→ 4

A: To evaluate the following limit. limx→4 x2-6x+8x-4

Q: Find the inverse function of y = g(x) = 5x³ + 5 g¹(y) = √25(x-5) 5

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Q: Change from rectangular to cylindrical coordinates. Select such set of cylindrical coordinates as 0…

A: Let's convert rectangular to cylindrical coordinates.

Q: The monthly profit from the sale of a product is given by P = 32x - 0.2x² - 150 dollars. (a) What…

A: We have given monthly profit  P=32x-0.2x2-150 Differentiating profit function with respect to x  P'…

Q: Disposable income is the amount left after taxes have been paid and is one measure of the health of…

A: Let a quadratic function y( x ) = ax2 + bx + cwhere a , b , c are the constants

Q: Monthly sales of a particular personal computer are expected to decline at the following rate of…

A: Given,  S'(t) = -20 t2/3   To find : Time required to manufacture computer