In(x) 6x

Q: Evaluate the integral. S₁³ (5+1°) 8 dt 8 Coc 28

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Q: Find the area of the specified region. Shared by the circles r = 6 cos 0 and r = 6 sin e 0 / (n-2) 0…

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Q: Use a line integral to find the area of the region R. R: triangle bounded by the graphs of x = 0, 5x…

A: Given, the region R is bounded by x=0,5x-2y=0, and x+2y=12.

Q: 39. If f f(x) dx = 37 and fo g(x) dx = 16, find [2f(x) + 3g(x)] dx.

A: If ∫09 f(x) dx = 37 and ∫09 g(x) dx =16 , find ∫092 f(x) + 3 g(x) dx.

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = x…

A: The given function fx=xcos5x. We have to find the Maclaurin series for the function.

Q: Use the functions given by f(x) = 53√x - 1 O 1253√x - 1 53√√x + 1 O 1253√√x + 1 05√√x + 1 ○ 1 125 x…

A: given  f(x)=1125x-1given  g(x)=x3

Q: Find the area of the region between the curve x = e13t, y=e-12t and the x-axis, 0 s t s In 9. 13 09…

A: we have given x=e13t, y=113e-12t and 0≤t≤ln(9) To Find: Area between curves

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

A: fx=-x4+16x3-16x+19

Q: Consider the sequence defined recursively by a1 = 2, a2 = 2, an+1 = for an- a. Find a matrix that…

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Q: f(0) = {! 0 2≤1≤3 otherwise. Find the Laplace transform F(s) by computing the following integ 1.…

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per day and…

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Q: What is the coefficient of the term containing x^7y in the expansion of (2x+y)^8?

A: What is the coefficient of the term containing x^7y in the expansion of (2x+y)^8?

Q: Evaluate Lay xy ds where C' is the right half of the circle x² + y² = 16 Calculator Check Answer

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Q: y = x^(2) , y = x^(3) find the area by rotating around the y axis

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Q: Evaluate fry³dx + a²dy, where C is the rectangle with vertices (0,0), (3,0), (3,5), and (0,5)

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Q: (7) On the coordinate axes provided, graph the function f(x) = -5 -4 -3 -2 -1 CT 5 4 3 2 1 -1 -2 -3…

A: fx=3-xif x≤1x-1if x>1

Q: A person purchased a new car for $28,200 and financed the entire amount. Suppose that the person can…

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Q: Chapter Review Problems Miscellaneous Problems. One of the difficulties in solving first- order…

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Q: Find the length of the curve. The spiral r=e40,0≤esn 03(²-1) O 0√17 (e4n - 1) 乒 O e-√3 0 (0-1)

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Q: (5) Find all real solutions of: (a) x²7x8=0 (b) x² - 7x+8 = 0 (SHOW YOUR WORK)

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Q: 13. Let C be the curve with parametric equations === P²+2, v=P²-1, 15152 Find the length of the…

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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Q: S X (x²+5) O dx none of these answers ○ In (x² + 5) + c ○ In (x² + 5) + c 1 (22² +5) + c

A: let   G=∫x(x2+5)dx

Q: find fx (x² + 1) dx ○ x² + 1/1/20 x² + c O ○x³ + x + 1 none of these answers can not be done

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Q: at r s) The linear () is = where A is approximation to f(x) = √√/1 + 8x y = A + Bx and where Bis

A: The given function fx=1+8x. We have to find the linear approximation of fx at x=0.

Q: Consider the following. 6 x (x - 1) Let u = 5x³ - 1. Find du. du = dx dx Indicate how the limits of…

A: Given integral ∫01x2( 5x3 - 1 )4dx

Q: State the definition of the derivative of f at x = a. (b) Use this definition to find f ' (4) where…

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Q: Find the indefinite integral. √√1+3x² (6x)dx 2 √√₁+3x² (6x) dx = 1+

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Q: Find the average value of the function f over the interval [−1, 5]. f(x) = 1 − x² -

A: We are required to: Find the average value of the function f(x)=1-x2 over the interval [-1,5].

Q: Find the divergence of the vector field F = div F = Calculator Check Answer

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Q: 13. Suppose the total cost of producing q units is C(q) =q³+50q² + 100g + 1000. Use marginal…

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Q: ¾√/1-2x³²-7X F(x) = x²³ Find The F(X)

A: Differentiation By using chain rule we can solve this given function derivative.

Q: 15. A 30 N force is required to hold a spring 20 cm beyond its natural length of 15 cm. How much…

A: Given:A force of  30N is required to hold a spring that has been stretched from it's natural length…

Q: 30. ²₂√4 - x² dx

A: To evaluate the following integral by interpreting in terms of areas. ∫-224-x2 dx Note: Since, the…

Q: Find the inverse of the matrix

A: Given matrix: 303-30-24-30 We need to calculate its inverse.

Q: Which term in the following matrix is "11? 3 11 11 -8-4 7-21 7 12 2 13 0-9 1

A: The given matrix is;  [3   11   7    -2 -8    -4   12   2 1    13    0    -9]

Q: Find the area of the region bounded by: r = 7 cos(100) 0 ≤ 0 ≤ 2π Submit Question

A: given, r=7cos(10θ)given interval is 0≤θ≤2π formula for area is given by A=12∫θ1θ2r2dθ where r=f(θ)…

Q: 5п (44) Find the exact value of each of the six trigonometric functions for 0 = 6 sin 5п 6 = CSC xc…

A: Using allied Angle we find all value of trigonometric function. Here 5π6∈(π2,π) In second quadrant…

Q: x³ - 16x² - 2x + 5 x³ - x

A: Given

Q: -2y+z=-9 3x-y + 2z = -3 -x+3y+z=4

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Q: Find the curl of the vector field F = curl F= [2zy-5xz4] 0 26 Calculator Check Answer X < i + Oj+ x…

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Q: 5. nts) Let F =, use Green's Theorem to evaluate F. dr where the curve C is C the curve shown in the…

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Q: 5. Calculate lim f(x), where x+1+ (a) 3 (b) 1 f(x) = (c) -2 (d) 2 (e) does not exist 5A 5B 4-x -2 x²…

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Q: (b) Two trains diverged from Yellow Wood station, one traveling due north at 200 mph and one…

A: Apply Pythagoras theorem

Q: A particle is traveling in a straight line. Its position at time t in seconds is given by s(t) = 8√t…

A: According to question,Given position at any time t,st = 8t

Q: find lim [(x+1)/(x2-x-2)] X --> 1 2/3 Onone of these answers O-1 O undefined

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Q: Compute 3rd right endpoint approximation (R3) for Intergal from 0 to π sinxdx I recevied the answer…

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Q: Find the average value of the function f over the interval [0, 7]. 14 x + 1 f(x) =

A: The given function fx=14x+1. We have to find the average value of the function in the interval 0, 7.

Q: Which numerical method is more accurate, the Euler method or the Runge-Kutta method?

A: Here we have to tell which method is more accurate when compare to Euler method and the Runge-Kutta…

Q: 4 3 Evaluate F F - dr along the curve C: 7 (t) = 3 cos(t)i +3 sin(t)j, 0≤t≤. 4 Consider the vector…

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