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Q: EOL 5 Find a power series representation for the function and determine the radius of convergence. 1...

A: Given fx=11+x3 To do To find the power series representation for the function and the radius of conv...

Q: Find d^2y/dx^2 at (-1,-2) if 3x^3-2x^2+x = y^3+2y^2 +3y.

A: Given function is: 3x3-2x2+x=y3+2y2+3y Let us consider: y'=dydx ; y''=d2ydx2 Differentiating both si...

Q: as-x about the X-axis. ) Retate e area sadius 5 Find the volvme. Gire the volume fa balt of radivs 5...

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Q: B

A: Area enclosed for given figures can be easily obtained by drawing graphs of teh function to determin...

Q: Use a graphing utility to graph the region bounded by the graphs of the functions. Find the area of ...

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Q: x - 0,2 0,1 0,3 f(x) 1,1 1,2 1,4 Leveraging the dataset a) f (x) value corresponding to a d...

A: Since in the given table 'h' is not equal, ie, arguments are not equal. so use Interpolation with...

Q: A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg. The position co-...

A: Given: A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg

Q: Test the series for convergence or divergence. n24n- 1 Σ (-7)" n = 1 O convergent O divergent

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Q: (H) Find the oquacion of anPalabolas vertex, focus and direodrix for The fllowing equefions!- I (+3)...

A: Solution:Given1. (y+3)2=4x 2. 6y=x2+6x+15To find eqn of parabola vertex, focus and dire...

Q: Find the first four terms in the sequence.

A: Given sequence an=5n-2 To find the first four terms in the given sequence. Solution: We have, an=5n-...

Q: List an efficient formula to calculate the directional derivative for a differentiable function?

A: IntroductionThe directional derivative Duf is a generalization of the partial derivative to the slop...

Q: is f (x) has a turning point, if so where?

A: Given f(x)= 14x4-23x3-12x2+2x-1has turning point at where the f'(x)=0differntiate f(x) with respec...

Q: Find the Maclaurin series for ƒ(x)= x 1n(1+x)

A: The Maclaurin series of a function f(x) can be found using the formula at x=0 f(x)=∑n=0n=∞fn(0)n!xn,...

Q: How to answer this?

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Q: Using a double integral, calculate the area of the region R

A: Subtract the function x=y22 from the function x=y2.

Q: Show your work neatly pleaseee!!?

A: Given: ∑n=1∞n57n

Q: Evaluate the following integrals: 4x + 4)4/3 dx

A: an integral is a mathematical object that can be interpreted as an area or a generalization of area....

Q: next set of i, ii, iii questions:

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Q: Determine the value of the series Σ 1 n2 + 7n + 12 T=1 a)1 d) e)0 1/4

A: Solution; Consider the given series; ∑n=1∞1n2 + 7n+ 12 or ∑n=1∞1n2 + 4n+3n+ 12=∑n=1∞1n+4n+3=-∑n=1∞1n...

Q: Use the Linear Approximation to estimate Δ?Δf for ?(?)=11/5+?2 when ?=2 and Δ?=−1/2.

A: fx=115+x2,a=2;∆x=-12 Now, differentiate the function with respect to x. f'x=ddx115+x2=11ddx15+x2=-15...

Q: Sand is being sifted onto a conical pile at the rate of 0.3 ft /sec. It was also obser thát at any i...

A: Given :- dVdt = 0.3 ft3/sec diameter = 2height d = 2h 2r = 2h r = h We use the Volume of cone V = 1...

Q: Suppose that A, B, and C are the corner points of the thin triangular plate of constant density show...

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Q: Test the series for convergence or divergence 00 n4 + + n² + 1 n = 1

A: Given: ∑n=1∞(-1)nn4n4+n2+1

Q: Solve the differential equation

A: A first order differential equation in separable form is given by: dydx=gx. hy & hy≠0 where gx i...

Q: Find the radius of convergence, R, of the series. Σ n! n = 1 R = Find the interval, I, of convergenc...

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Q: g Water is being poured at the rate of 5 m/sec into an inverted conical tank of radius 10 m and alti...

A: The volume of the cone is: V=13πr2h Differentiation formulae: ddxxn=nxn-1

Q: Use a table of integrals with forms involving eu to find the indefinite integral.

A: Given- ∫x6lnx dx To Find- The value of the above integral. Concept Used- Using the by part theorem ,...

Q: = -secu a

A: Given : y=f(u)=-secu and u =g(x)=x2+7xwe have to find d2ydx2

Q: Can you explain your steps.

A: Definition of the function in the different intervals helps to integrate the given function. Breaki...

Q: Determine the convergence or divergence of the series.

A: ∑n = 0∞23n = 1 + 23 + 232 + 233 + 234 + ........................∞After expanding, we can see that i...

Q: Please help me with this. Habakkuk wants to design an open rectangular box with the volumeof 20 ft^3...

A: The volume of box is 20 ft3 and suppose width of the base is x. So, the length of base of the box is...

Q: 7 dx 7 X. de

A: Given that, y=x7+7x7 We have to find, dydx

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos) p...

A: Given that: The quantity of the demand per month of a certain accessory is related to the price per ...

Q: please help solve

A: Given: y=-6 To find: To graph the equation and identify the x and y-intercepts for the given equatio...

Q: Please help me with this. The height h of a right circular cylinder is twice its radius r. Find ther...

A: Volume (V) of right circular cylinder is given as V=πr2h

Q: Which one is a factor of 24 but not a multiple of 4? Select one: a. 4 b. 12 C. 6

A: We know that from given options 6 is a factor of 24 but not a multiple of 4

Q: Evaluate the geometric series described.

A: ∑n=19-2·-2n-1

Q: Show your work neatly pleaseee!!?

A: Click to see the answer

Q: Find all the real zeros of the polynomial. Use the quadratic formula if necessary, as in Example 3(a...

A: Given: Polynomial of degree 4, px=x4-7x3+14x2-3x-9 Objective is to find the zeros of giv...

Q: Find the smallest number which on subtracting 43 to it is exactly divisible by 25, 30 and 65. Determ...

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want r...

Q: Box office revenue at a cinema in Paris is R(p) = 3600p - I0p 3 euros per showing when the ticket pr...

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Q: please help solve

A: Here, we need to write equation of a line that passes through -3,-1 and parallel to the line 3x=4y+6...

Q: The population of some native bees is declining at a rate of 6% per year. If there are 15 300 bees i...

A: Given- The rate of declining =6%, intial bees in the hive = 15,300. To Find- The number of bees in t...

Q: What is the correct expression of the integral of the probability function of a normal distribution ...

A: The Normal Distribution : 1. The normal distribution is symmetric with scores more concentrated in t...

Q: (b) Find the exact arc length of the curve x=e“(sint+cost), y=e“(sint– cost) over the interval [–1, ...

A: The arc length of a parametric curve over the interval a,b is given by the integral, L=∫abdxdt2+dydt...

Q: Write the equation of a parabola in standard form from the given information Vertex at (2, -2) Focu...

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2 & k=-2 Fo...

Q: Solve ques b

A: b) Given region is r=4cos3θ. Sketch the graph of the region as shown below.

Q: Solutions must contain the "GRAPH", "INTERSECTIONS", "EVALUATION OF DEFINITE INTEGRAL"

A: The area to be calculated is given to be bound by the curves, a2y=x3, x-axis and line x=2a. The line...

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series.

A: To determine the convergence or divergence of the series using Direct comparison test. ∑n = 1∞ 13n...

Q: Help me solve question #4

A: Let, I=∫x3+4x2−4xdx ⇒I=∫x2-4xx+4+16x+4x2−4xdx ⇒I=∫x+4+16x+4x2−4xdx ⇒I=∫x+4dx+∫16x+4x2−4xdx ⇒I=∫x+4dx...