The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

Q: Use calculus to sketch the graph of the given function. (a) f(x) = 3x* – 4x³

A: Given function: fx=3x4-4x3

Q: Find S(-sin³0 – sin@cos20)d0

A: This can be solved as follows:

Q: 3. Accumulate P2,500 at 5-% simple interest from November 6, 1988 to April 11, 1989. 12

A: Given :Principal = P2500Rate =535=285%Time : Nov 6, 1988 to April 11, 1989

Q: correct

A: We will find the points.

Q: ydy -ヌ-9-y 7-8. 2.

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Q: Q2/12 2 = と = COS e ) y= Sine find the %3D

A: partial derivative

Q: end of 35 years and 9 months, if the interest raté is 6% compounded quarterly. 4. Accumulate P 1,100…

A: Given problem:- Accumulate P 1,100 at 8% compounded monthly for 25 years and 5 months.

Q: - The demand for your item is given by the following function 2 - 8z (z-8)(z² + 3) Find what number…

A: The given demand function Dx=-x2-8xx-8x2+3+100, so, x≥0. To find the number of products to be sold…

Q: solve

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Q: Water is leaking out of an inverted conical tank at a rate of 7900 cubic centimeters per min at the…

A: We have to find the water is being pumped

Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x² + y (x, y) # (1, –1) x + y is…

A: Given f(x,y)=1                        (x,y)=(1,-1)x2+yx+y              (x,y)≠(1,-1)

Q: 1. Evaluate (i) dy dx, 3

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Q: If f(1) = 13, f' is continuous, and f'(t) dt = 28, what is the value of f(4)?

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Q: (m³+2m-1 Find m2) dm

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Q: d³x d?x dx dt3 dt² dt (D3 – 2D? – 5D + 6)y = 0 ; when x = 0, y = 1, y' = -7, y" = -1 (4D5 – 23D3 –…

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Q: I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

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Q: 5. Solve the equation: (D² – 3D + 2) y = 2x² + 1 O y = cje + cze² + 4x + 3x2 + x O y = cje* + cze2x…

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Q: (3x-2) dx f x²+ 2x + 15

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Q: Let y = tan find the differential dy of the function.

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Q: -2 Find f'(x). Given: f (x) = (2x3+3x2-5)2

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Q: 10. lim, -6(x-sin'x)(cs scx)' X)( csC X

A: A detailed solution is given below.

Q: The area between the curves f(x)=x and g(x)= x^2 on interval [0,2] O 2

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Q: Suppose f(x, y) = x2 + y? where x = r cos 0 and y = r sin 0. Find and whenr = 1, 6 -: = 1, 0 =

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Q: 3. Solve the equation: (Dª – 1) y = 0

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Q: polar of a point are giv the pon R/2 R/2 6f 4 4 2 2 -6 -2 4 6 -2 -4 R/2 R/2 6. 4 4 -6 -4 2 -6 -2…

A: Topic = Geometry

Q: A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min.…

A: We know volume of a sphere of radius r is, V= (4/3)πr³ Doing implicit differentiation on both sides…

Q: Find the arc length of the curve given by r= sin 0, 0s0< E a) 27 b) T c) 72 e) None of these O a.) O…

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Q: Exercise 195 Further problems on Leibniz's theorem 7. Given 2x2y" + xy' +3y = 0 show that 2x2y(+2) +…

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Q: An 1+- n

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Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n-5 Ps(x) =

A: In this question, we want to find the maclaurin polynomial of the given function when n=5.

Q: 1 (1) = 5 4 5 - x

A: Taylor series of function fx at a is defined as:…

Q: 1) Find a power series representation for the function and determine the interval of…

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Q: The volume generated when the region bounded by y = x , y = 1, x = 0 is rotated about x - axis is…

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Q: Find an equation of the ellipse with foci at (-4, 3) and (-4, –9) and whose major axis has length…

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Q: Yulo decided to create an origami box from an 8 cm by 15 cm sheet of paper by cutting four slits and…

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Q: х3—х+1 Find: lim X→0 x2+3

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Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: Find the differential dy: y = In(sec² ( 3ª²–20+5 312-2x+5 O (E) None of the choices dy = 2 (x – 1)…

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Q: What is the allowable error in measuring the edge of the cube that is intended to hold 8 cu.m. if…

A: Given problem:- What is the allowable error in measuring the edge of the cube that is intended. to…

Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x²ym) +…

A: To find out the nth derivative of the function.

Q: Please let me know what answer choice to Choose A,B,C, or

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Q: 4. csc 2x cx

A: The integration of the integral is csc52x.

Q: Find the dy/dx: Given 2x x+1 y =

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Q: -5x+y3-3 3x -8y 24

A: We have to solve the given equations

Q: x2 (x+2)³ In Ix + 21 + 4x+6 4x+6 (x+2)= In |x + 2| – (x+2)= +C Option 1 Option 2 ihk+ 21- 4x+6 In lx…

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Q: 2r³ – 4x² – x – 3 dr x² – 2x – 3 in |x + 1|+ 3 1n|x – 3| + C in |x + 1| – 3 In|x – 3| + C Option 1…

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Q: Test the sefes for convergence or diver 00 n! 145- Use the Select v and evaluate: lim = (Note: Use…

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Q: Evaluate the following integral. Answer in 3 significant figure, exponential form, no units, no…

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Q: Find the area between (bounded) by the curves y = x2 + 10x and y = 2x + 9.

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Q: dy (y casxy +)dx+ =e (xcosty +2y=3) dy

A: