1. S x² (x+1)4 - dx

Q: curate to 10-7. k=1

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Q: Wallis Formula Evaluate the following integrals. sin (3x) cos5 (3x) dx 1. 2. 16 4 [*³* sin³(2x) dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: d² -sin (2x³) = = dx²

A: d2dx2sin2x5=ddxcos2x5· 10x4=10-10x8sin2x5+4x3cos2x5

Q: Calculate the following two indefinite integrals. Thank you. (6e^(2x)-5x^(3)+(4/x)+3)dx

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Q: Which integral 12 225-x¹+1 2 S√√2-√√225x4+1 dx So 9 is the arclength of the curve y = 5 x³ on the…

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Q: Find the limit: ху lim (x,y)→(1,1) x² + y²

A: Apply the limits

Q: 6. Sketch an even continuous function with all of the following features: ✔✔✔✔ • Absolute maximum at…

A: We have to draw graph with given information.  Even function means symmetric about y axis.  Y…

Q: Needing

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Q: -1 O -5 -10 -4 2, IP 2 IP 3 4 10 5 X X -1 y 10 -1⁰ IP 2 3 4 X -5 -4 -3 IP -2 -1

A: Topic:- application of derivatives

Q: 13. A certain type of glass is such that a slab 1" thick absorbs one-quarter of the light —which…

A: We need to find thickness.

Q: Find the length of the dashed zig-zag path in the following figure. 34 0.75- 0.5+ 0.25+ 00.25 0.5…

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Q: Convert the point (√3, 1, 0) from Cartesian to spherical coordinates.

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Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): Answer: x-1 lim…

A: We need to find the limit limx→∞ x-12x2-7x

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) lim +3) 6 +

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Q: Find the general solution of the following differential equation. y"+11y12y = 0 NOTE: Use c, and ce…

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Q: Find a linear equation that expresses the relationship between the temperature in degrees Celsius C…

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Q: Find f   f '''(x) = cos(x),    f(0) = 7,    f '(0) = 6,    f ''(0) = 5

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Q: f(x) = 5* g(x) = log5 (²²= 4) Find (fog)(x) and obtain its domain. h(x): - 6 <- x 2x-5

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Q: an = (1 + ² (1 + 2.6) "

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Q: Determine whether the series converges or diverges. n+5 Σ n = 11 (n + -6)5

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Q: III. Improper Integrals. Determine if the following integral is convergent or divergent. If it is…

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) lim_(x². + +x+5)…

A: We have to find the one side limit

Q: Solve the following differential equation by using the Laplace transform techniques. d²x +8- dt² dx…

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Q: True

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Q: Find all values of c such that fis continuous on (--,-). f(x) = {7-2², c=2.193 c= 3.193 7-2²³, xse…

A: The given function,    fx=7-x2,x≤cx,x&gt;c

Q: Find a bound on the magnitude of the error if we approximate √2 using the Taylor approximation of…

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Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

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Q: Kiara's grandmother is depositing $1,200 at the end of each quarter into a RESP to s for Kiara's…

A: - Periodic Quaterly Deposit at the end of each quarter is $1200 a). Calculating the Accumulated…

Q: Crude oil imports to one country from another for 2009-2013 could be approximated by the following…

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Q: f(x, y) = y^/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) = = (21+ √51) U= (b) Evaluate the…

A: Topic:- application of derivatives

Q: Determine the following indefinite integral. dx X√ 625 + x 2 dx S- x√√625+x² (Type an exact answer.)…

A: We have to determine the indefinite integral ∫dxx625+x2.

Q: Find the exact sum of the following series 0 In ( ) 3 5 OH(-) - 12 (²³) In 3 (²/²) - ²3/ In 23 ○ In…

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Q: an = (1 + 2,60) ² = n

A: We want to know whether the given sequence is convergent or not

Q: Given the same three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1).  Find a vector equation…

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Q: f(x)=4 sin¹+x+√4x²

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Q: 2. f cos²xsin² xdx

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Q: Let u = (6,-4), v = (-3,9), and w= (0,-7). Express 9u-2v + w in the form (a,b). 9u-2v+w= (Simplify…

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Q: The Integral xy√√x² + y² dydx is equal to 1 Select one: O /(2√2+1) //(√2-1) 15 O /(2√2) /(2√2-1) O…

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Find the surface area of the torus generated by revolving the circle given by r = 5a about the line…

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Q: y = 16 X + x² at x at x = 4.

A: Given Equation :- y=16x+x2  Find the equation for the tangent line to the curve at x=4

Q: y = x², y = 4x - x²

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Q: lim X118 3x³-2x x²+2x+8

A: We can find the limit as below.

Q: Graph the following function, showing all asymptotes and relative extreme points. 2x 16 x+4 f(x) =

A: The Solution is given below

Q: Identify the function represented by the following power series. (-1)kkx² k=1 Click the icon to view…

A: To identify the function represented by the following power series.∑k=1∞ -1kkxk+24k

Q: 1. Answer the questions below and then sketch the graph of the exponential function f(x) = (-)* + 1.…

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: Calculate the accumulated amount of end-of-month payments of $9,000 made at 5.89% compounded…

A: The given data is: Monthly payement=$9,000Interest rare r=5.89%=0.0589Time t=5 years  Compounded…

Q: Given the following function,f (x)= -x^2-10x-25 , use the second derivative test to decide whether…

A: Now the equation(function) given in the question f(x)=-x2-10x-25

Q: my question is:  If one earthquake has a magnitude of 5 on the Richter scale and a second…

A: Topic:- algebra