Prompts Submitted Answers Se'sin(e")cos(e")dx Choose a match a eu +C Sxe*cos(e*)ax a un+1 + C n+1 a sin(u) + C 5xdx 4+3x2 sin' S Зах 7-6x +3x2 a In(u) + C 5xdx 7-x2

Q: Decide whether the relation defined by the graph to the right defines a function, and give the domai...

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Q: The graph of P = g(t) contains the point (-2, 6). (a) If the graph has even symmetry, which other p...

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Q: 1 dx - 16 4 xvx2 ||

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Q: Find the derivative of the function. h(t) = 3 cot-(t) + 3 cot" h'(t) =

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Q: Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. 2+x if x...

A: A function f(x) is continuous at x=a if and only if limx→a- f(x) =limx→a+ f(x) =f(a).

Q: Business Mathematics a) Solve for x and y. 3x-8y=7                                                ...

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Q: 2. Three men and four women are to be selected from a group of 10 men and 12 women. In how many ways...

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Q: following functions and determine the type of its discontinuity (Removable, Jump, Infinite) f(x) = 2...

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Q: Find the local extrema and saddle points of f(x, y) = x² – 4xy + y° + 4y.

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Q: . Determine all the second order partial derivatives of the given functions. In each case, show that...

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Q: dt 1. cos (2 sin 2r) V1-4r

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Q: a) lim f(x) y b) lim f(x) 8 c) lim f(x) d) lim f(x) e) lim f(x) 9 lim f(x) -10 -8 -6 0 2 4 10 -2 6 2...

A: Graph of the function is given, we have to find its required limits

Q: Find the limits in a), b), and c) below for the function f(x) = x-5 9x Use - o and ∞ when appropriat...

A: The given function is: fx=9xx-5

Q: Find y" by implicit differentiation. бх2 + у2 %3D 3 y" =

A: Given that implicit function is 6x2+y2=3 To find: y''Solution:6x2+y2=3 Diffranciate w.r.t x12x+2ydyd...

Q: Find and sketeh the domain of the function f(x, y)= ln| xy - 1 Vy-x² ху —1

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Q: Find the area of the region that lies under the graph off over the given interval. Please solve usin...

A: Given : f(x) = 4 - (3 - 2x)^2 at 1 <= x <= 2

Q: ꭓ3 −3ꭓ2 + ꭓ = −2 i) Form a cubic equation utilizing the above and create the function f(x). ii)...

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Q: Write an expression for w in terms of x. Simplify your answe y34 W -2 2

A: Given problem:-

Q: Using the Bisection method find the root of the polynomial f(x)= x° – x – 2. use a = 1, b = 2

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Q: Let p be a polynomial of degree n and let E = { x | e^x=p(x)}.   Prove that the number of elements...

A: Given:   E = { x | e^x=p(x)}         E ≤ n+1 

Q: 7. The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level...

A: We have to find the velocity, maximum height and time to reach maximum height.   According to our gu...

Q: cot () 11. 12. sec

A: Find the value of  11) cot(5π/3)  12)sec(11π/6) 

Q: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 cubic feet, an...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: In order to know a integral is convergent or divergent, we should evaluate the integral if it gives ...

Q: S" (2x + 1)ea(x+x)dx, b > 0, a is a constant

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Q: ミ 42~x2 =ト 3ト %3D

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Q: Problem 9. Let f(x) = x5 – 10xª + 33x³ – 42x2 + 32x – 32 a. Show how to apply the Rational Zeroes Th...

A: Let's find. 

Q: f(x+h) = 1/x+h+3 compute and simplify f(x+h)-f(x)

A: Given that, f(x+h) = 1x+h+3 We have to find the value of f(x + h) - f(x).

Q: DOUBLE DECLINING-BALANCE METHOD OF DEPRECIATION Res- taurant equipment purchased at a cost of $150,0...

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Q: Decide whether or not the functions are inverses of each other. tive function

A: Given that, There are two graph of two functions. We have to find that, both graph are inverse of ea...

Q: The region between the curve y = Vxe- and the x-axis for0 <r<∞ is rotated about the r-axis to create...

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Q: How are each terms related to one another in the sequence 2 , 90 , 4 , 87 , 6 , 12 , 8 , 51 , 10 ?

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) : (1 + x)5 Σ f(x) = n ...

A: We have to find Maclaurin series for the given function.

Q: Use C for any constant of integration. ' 6x³ + 2x? – 20x – 12 - - dx = x² – 4 -

A: We have to find value of given Integral

Q: 2x´ y + 3xy¯ = 5 find the second derivative %3D

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Q: Compute the value of the following improper integral. If it is divergent, type D. 1 dæ ¤ (In(x))

A: We have to check weather the given Integral is convergent or divergent.

Q: of and ду of For the function f(x,y) = In (x+ 3y), find

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Q: Find the local maximum and minimum values and saddle point(s) of the function f(x, y) = xy - 2x – 2y...

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Q: Evaluate each of the following indefinite integrals: (tan e +sece")°e*dx let u= du=

A: Topic:- integration

Q: larger slope y =

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and lim...

A: D)Use the graph estimate the limit of the function f(x) at x=-3  E) does the function is continuous ...

Q: Verify that each of the given functions is a solution of the given differential equation: x2y’’ – xy...

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Q: Find the radius of convergence of the power series. (If you need to use co or -0o, enter INFINITY or...

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Q: Compute the value of the following improper integral. If it is divergent, type D. 1 dx 0.

A: To compute the value of improper integral. 

Q: ydy +4y+11

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Q: Consider the function f(@) (-x, A), ((4, B).(B, C). and (C, x) where A, and C are the critical numbe...

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Q: Find the 11th to 15th term of the Fibonacci Sequence with solution

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Q: 5. [(csc h5B- coth 5B) dß

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Q: ) dx (D) [ + 4 dx (C) 2 + 2 2x

A: We have to choose the correct answer from the given options according to the given information

Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Number of paths from A to B is choose 5 from 11 . That is using combination 11C5