The function f(t)=460(0.2)^{t} represents the change in a quantity over t months. What does the constant 0.2 reveal about the rate of change of the quantity?

Q: 1. Consider a point in Cartesian coordinates given by (-2, 2v3, 4). (a) Find a corresponding…

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Q: Find the area of the region between the curves y = 12 – a? and y = x² – 6. Area between curves =

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Q: To find two real numbers whose difference is 24 and whose product is minimum, we can find the…

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Q: evaluate the given limit. 5. lim xcosx X00

A: Given:      limx→∞x1cosx

Q: b). Using gamma function, evaluate Sx6 e-2x dx

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Q: Find the velocity and acceleration vectors in terms of u, and ue. do a0 r= 9 e and :3 dt v=Ju, +Jue…

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Q: 7. Find the exact x-value where the function f (x) = x + In (p² – 1) attains a maximum value. An…

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Q: 8 Evaluate ( - 12vt)dt Select one: 666 a. 654 13 664 O C. 15 660 Od. 15

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Q: Determine the nth term for a sequence whose first five terms are 2 8 26 80 242 2' 6 24 120 and then…

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Q: dx (9 – 4.x²)³/2 2,3/2

A: Use substitutions to make it more simple

Q: Find the solution of the differential equation dy x+y=x²y² dx

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Q: problem

A: We have to find the value of the given following conditions according to the given information

Q: 18. Find [ 2x°(2x* -1) dx

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Q: Given the function f(x) = -x* - 4x determine its critical points and classify them, determine the…

A: We have to find the points and check the nature of function.

Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

A: To solve this problem we use pythagorous theorem.

Q: (1 - cosx) dx Evaluate: cosx(1 + cosx)

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Q: Use the graph of H shown to the right to find the limit If necessary, state that the limit does not…

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Q: Determine whether the function shown is continuous over the interval (-6,6). Is the given function…

A: Solve the following

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = x =…

A: P(x) has roots of multiplicity 2 at x=1 so (x-1)2 is a factor of P(x).  P(x) has roots of…

Q: Evaluate the following integrals: 1. S(cos x + csc² x)dx 2. S(tan x + sec² x)dx 3. S(1+sec²x)dx 4.…

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Q: A tank contains 80 kg of salt and 2000 L of water. A solution of a concentration 0.02 kg of salt per…

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

Q: 7. Find the exact x-value where the function f (x) = x +In (7„² – 1) attains a maximum value. An…

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Q: Solving bernoulli differential equation -2xy=2xy

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Q: a) Eliminate the parameter to find a (simplified) Cartesian equation for this curve. (b) Sketch the…

A: We have to find a Cartesian equation for this curve and sketch the parametric curve.

Q: Find the area of the region that is enclosed between y = 6x² – 2³ + ¤ and y = z² + 5z. The area is

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Q: 1. Which value of k will make the lines: r = (1,2) +s(2,3), s e R and 9x + ky = 0 parallel? 2.…

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Q: 5+ 4. 2 1+ -5 -4 /-3 -2\1 1 5 -1 -2 -3 -4 -5 + 3.

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Q: - Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D %3D

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Q: L. Find the point/s of intersection of each of the following figures given below, draw the element…

A: Given: Now find the point of intersection between the curve y=x2+2 and the line x=2. y=x2+2 ;…

Q: 00 Determine whether the series omverges absolutely, conditionally, or n=1 not at all.

A: The given series is ∑n=1∞-1n-1nn2+1. A series ∑n=1∞un   is absolutely convergent if ∑nun  is…

Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

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Q: A power representation of the function f(r) = for -1<r<1i %3D 1+z Select one: 00 8n n-0

A: Given Rewrite where  a = 1

Q: Jse symmetry arguments or similar to find the total charge in sphere of radius Rothat has charge…

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Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: = - 22k…

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Q: Differentiate the function. t(t² + 1)4 g(t) = In V8t – 1 - g'(t) =

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Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

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Q: P(x) = 23x – a?. %3D

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Q: Let C be the cost to produce x batches of widgets, and let Rix) be the revenue in thousands of…

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Q: Differentiate the function. 2 + g(t) = In t(t? + 1)4 V8t – 1 g'(t) =

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Q: dy if y =t! and t=Vx Fin d

A: Let's find.

Q: 7. How should the function f(x) = be defined so that it will be continuous at x = -1? (B) f(-1) = 0…

A: We have to find the value of f(-1). Also we have to find the interval in which function is…

Q: 4. Find the Linearization of f (x) = sinx at a = 7. Provide your answer as L(x) =?

A: Here we have to find the linearization of f(x)

Q: Find the 2nd derivative with complete solution y = 3x + 5 / x^2 + 4

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Q: 32 Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional (1, 2) and…

A: Given problem:- Suppose that f(x, y) = x3 y2 . The directional derivative of f(x, y) in the…

Q: 4. The derivative of a constant is 5. The derivative of a of two functions is the denominator times…

A: This question is based on Basics of differentiation.

Q: Find y=f(x) if f''(x)=4x^2, f'(0)=3, and f(0)=2.

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Q: Problem 1 Solve the inequalities and sketch their graphs on the real number line. (a) 4r – 6 > 10…

A: We have slove inequality  As per guidelines we have to solve 1 question if you need please repost…

Q: dy Find by implicit differentiation dx 4 + 5x = sin(xy*) dy dx II

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Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: Find each function value and limit. Use -∞ or co where appropriate. 7x* - 14x2 f(x) = 8x° +4 (A) f(-…

A: topic- functions and limits