cos(3x) = ² √2 2

Q: Express the limit as an integral. S 4 lim (7(x)² - 2(x ) ³)Ax over [0, 4] n→ ∞ i = 1 2 3 7x²-x³ x)…

A: An integral of a function f(x) in the interval [a,b] represents the area between f(x) and…

Q: Find the area between the curves f(x) = 3x² + 12x − 15 (in dark blue) and g(x) = -x² - 4x + 5 (in…

A: We need to find area between the enclosed curves.The formula we will use is given by -

Q: Evaluate. Assume u > 0 when In u appears. fx²¹x¹² dx. ote √x¹¹ ex¹² dx = 0 (Type an exact answer.)

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Q: Find u x v, v x u, and v x v. u = 2i + 6k v = 5i + 9j - 2k. (a) -54i + 22j + 18k u x V (b) V x u 54i…

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Q: Approximate the area under the graph of f(x) = 0.05x -3.24x+87 over the interval [3,11] by dividing…

A: The given function is The left endpoint sum

Q: Find the general Solution For D-E y + y tanx = [cos²x]y'

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Q: Evaluate the indefinite integral as an infinite series. | arctan(x3) dx ]) + c C ( n = 0

A: The given integral .The aim is to solve the indefinite integral as an infinite series.

Q: Find the flux of F across S, [/F F. N dS where N is the upward unit normal vector to S. F(x, y, z)=…

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Q: 5 Find f such that f'(x) = - √x f(16) = 49.

A: f′(x)=5x,f(16)=49

Q: * Find the general Solution of dy dx = 4. x² ln x

A: The given differential equation is

Q: local minima occur on the function, enter in the appropriate box. f(x) = - 23 - 4x² +15x-8 3

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Q: n's Theorem to evaluate the line integral (y - x) dx + (2x - y) dy C wen path. : boundary of the…

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Q: For the function f(x) = e¹x (6x - 2), use calculus to determine any interval(s) where the function…

A: Given: To Find: To determine the intervals of concave up, concave down and inflection point(s) of…

Q: Find The derivatives: @-ª [secx - 5c0sx] d dx @y=3x²³ + sin x +5 cos x m yle) (sinx) y= и @y= 5 2 y=…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Let Find the values of a and b so that f will be differentiable at x = 5. a = b = i √(x) = {2x²+ A…

A: We have been given a piecewise function.. We have to find the values of a and b so that f is…

Q: 1) Sketch the region whose area is given by the integral and find its area: √√x(1-x) dx 0

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Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A: we are given the marginal cost function and we need to find out the total cost of producing 680…

Q: 9. Determine whether the following two lines are parallel, skew, or intersect. If they intersect,…

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Q: Find the Maclaurin series for the given function. 3e-x

A: A Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk

Q: Solve the following integration :- 5 (x-3) (x+5) (x-2) dx

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Q: Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = m/2. Use four approximating…

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Q: Use the following function to answer this question ; f(x)=sqrtx+7, g(x)=2x+4, h(x)=x/2   a/…

A: Use the following function to answer this question ; f(x)=sqrtx+7, g(x)=2x+4, h(x)=x/2

Q: Determine whether the lines LI and L2 are parallel, intersect, or are skew: L1: x= -1 + 4t, y =…

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Q: 1. With a programmable calculator (or a computer), it is possible to evaluate the expressions for…

A: Given that the region under the curve  from The right endpoint sum

Q: Recall that the constant term, C, cancels out when evaluating a definite integral and therefore, the…

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Q: a) The rectangles in the graph below illustrate a The value of this Riemann sum is left endpoint…

A: given function f(x)=

Q: Evaluate the following integral. 498. (e+e-ª) dx

A: The given integral is ex.

Q: Find the radius of convergence, R, and the interval, I, of the convergence of the series. n=1 (x -…

A: The given series is; Summation of (x-2) n sqrt(n)]

Q: Use the transformation u = 3x + 4y, v=x+4y to evaluate the given integral for the region R bounded…

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Q: Given. [₁3 Evaluate. 3x√x² +9dx = 10√10 - 27 [₁³ 3u√u² +9du

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Q: Using the graph below, sketch the graph of the function y = - f(x). -6 6 6

A: We have given the graph of f(x).The graph of the function y=-f(x) is the mirror image of the graph…

Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

A: We have to find the left reimann sum and the right reimann sum.

Q: K A bakery works out a demand function for its chocolate chip cookies and finds it to be d =…

A: The responsiveness of demand when the price changes is called the elasticity of demand is defined as…

Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

A: The given function is

Q: Consider the region bounded by the graphs of x = 0, y = cos(x²), y = sin(x²), and x =

A: Region is bounded by x=0,y=cos⁡(x2),y=sin⁡(x2), and x=π2Rotating the region about y-axis.

Q: Determine the volume of the solid obtained by rotating the region bounded by y = x² - 4x + 5, x = 1,…

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Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

A: f(x)=−x3+27x−58Using the power Ruleddxxn=nxn−1

Q: Determine the Fourier transform of the following signal: x (t) = è¯(t-1) u(t-1)

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Q: Each of the regions A, B, and C bounded by the graph off and the x-axis has area 3. Find the value…

A: Each of the regions A, B, and C bounded by the graph of and the x-axis has area 3.To find the value…

Q: Tutorial Exercise If fis integrable on [a, b], the following equation is correct. [" f(x) dr = limf…

A: We have to find the value of the limit to evaluate the integral.

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Does the sequence San} converge or diverge ? Find the limit if the sequence is convergent. (n+4…

A: The given sequence  nth term is

Q: A table of values of an increasing function fis shown. Use the table to find lower and upper…

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Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: ["h h(x) dx such that A expresses the area of the region between the functions y = el.5, y =e-1 and…

A: To write an integral in the form  such that A expresses the area of the region between the functions…

Q: a) The rectangles in the graph below illustrate a ? The value of this Riemann sum is 0 and this…

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Q: Find the radius of convergence, R, of the series. R = 00 Ё хоп n = 2n (In(n))7 Find the interval, I,…

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Q: 1. Region D of the (x, y)-plane is the locus of points satisfying the conditions 2y > e-* > y and y…

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Q: Given the values of the derivative f '(x) in the table and that f(0) = 195, estimate the values…

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Q: tan ¹ (sin x) √√x D) lim-

A: