x²(x- 十

Q: Y1 = csc(X) - 1 1 - sin(x) 17/₁1/2 Y2 = CSc(x)

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Q: Find fo((x² + 3y)i + y³7). dr where C consists of the three line segments from (1,0,0) to (1,5,0) to…

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Q: At 1 p.m., snail A is 9 ft west of snail B. Snail A moves north at 2 ft/hr and snail B moves south…

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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: 27. The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. (a) ff(x)…

A: According to bartleby guidelines we supposed to do the first three sub parts of multiple sub parts…

Q: Approximate the x-intercepts of the graph. Use a graphing utility to check your solutions. (Enter…

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Q: 4)Evaluate 2 In x 7 x² dx

A: The given integral ∫2∞ln xx7dx. We have to solve this integration.

Q: Suppose that f(x, y) = x³y². The directional derivative of f(x, y) in the directional and at the…

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Q: Find the first partial derivatives and evaluate at the given point. Function Point f(x, y) = ln√xy…

A: The given function is fx,y=lnxy

Q: Evaluate the limit. [A] 5 615 [B] = [C] O lim x-0 [D] 1 sin (2x)cos (3x) 5x 25 [E] }

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Q: 43. Find the gradient of the function f(x, y, z) = x²e»²².

A: we need to find the gradient  of function f(x,y,z) =x2eyz2

Q: f(x) = 2x³ - 3x Find f'(x) using the definition of the derivative.

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Q: In the following exercises, differentiate the given series expansion of f term-by-term to obtain the…

A: To find the derivative of the function by differentiating term by term. According to our company's…

Q: Given the function fƒ(x) = −2x³ – 12x² – 18x + 1, determine the intervals where the function is…

A: Application of derivative

Q: Find the interval of convergence and radius of convergence for the series

A: To solve the following

Q: a. Find the nth-order Taylor polynomials of the given function centered at 0, for n = 0, 1, and 2.…

A: The nth order Taylor polynomial for f with the center a is denoted as pn ;

Q: B. Find the maximum value and the minimum X value attained by f(x) = x² + 16 in the interval [1,3].

A: fx=x2+16x  Find the maximum and minimum value of the function in the interval 1,3

Q: -3 1 Where any relative maximum(s), relative minimum(s) and Horizontal Points of Inflection occur on…

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Q: Evaluate that the integrals;

A: The given integral is         ∫x dx1+sinx2 we solve the integral using substitution method.

Q: ( Finangal Formulas A = Pet mt t A TF $1400 is inverted at 5.6%. M @ what is the amount in the…

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Q: 2-tan 0 4 de

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Q: 5. If C is any piecewise-smooth, simple, closed plane curve and f and g are differentiable…

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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: Chapter 2. Use the Linear Method to solve. dx 8 + ²y = 24x³ x 24 A) y = ²x4 + Cx-¹ C) y = 2x4 + Cx-8…

A: Explanation:::

Q: Consider the vector field F = Evaluate r(t) = t²i+t³j, 0≤ t ≤ 2 LE F-dr along the curve C:

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Q: practicing checking  f(x)= x2-3x & g(x)= 2x-1      Determine f(g(x))

A: f(x)=x2-3x g(x)=2x-2

Q: 21. dy dx = X xy + y Hint: Let u = x2.

A: Question 21:We have to solve the differential equation:dydx=xx2y+y3

Q: Let lim f(x) = 8 and lim g(x) = 6. Use the limit rules to find the following limit. x-2 X-2 lim X-2…

A: given, limx→2f(x)=8  and limx→2g(x)=6let   B=limx→2f(x)+g(x)4g(x)

Q: Evaluate the improper integral or state that it is divergent. 00 dt A t² - 3t 2 A. In 4 1 B. In 4 C.…

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Q: given f(x) = 2x² -2x+1 fing f(-3) find f(a+z)

A: given, f(x)=2x2-2x+1

Q: Find the area of the surface generated by revolving x=t+ √2, y=+√2t+3,-√2 sts √2 about the y-axis.…

A: x=t+2,    y=t22+2t+3 , -2≤t≤2 we know that surface area formula,    s=∫2πxds rotation about…

Q: 9. y" + 2y' + 5y = 10 cos(2t), y(0) = 1, y'(0) = 1

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Q: 3. Find the arc length of = 2 ¹ + (x)² = ( x² + x^²¹) ². + x¯¹ for 1 ≤ x ≤ 2. Hint: Show that 1/2…

A: y= (1/12)x3+x-1 for x belongs from 1 to 2 We have to find arc length of y for given interval

Q: A. The function f(x)=√x² + 1 has a critical point at x =

A: according to bartleby guide line we do only first part of multiple questions. (A)  given,…

Q: Chapter 7. Find the La Place Inverse Transform. 48 9-1{1/8 + A) 4t4 + 4 sin(4t) C) 2t4 + 4 sin(2t) 8…

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Q: Which of the following statement(s) is/are true? bk I: Ifbrak converges, then k=1 8 8 1 : 1 Σακς Συκ…

A: When we get the finite sum of the series then the series is convergent. Another way we can say that…

Q: The half-life of plutonium-239 is 24,360 years. If 20 g of plutonium is released into the atmosphere…

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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: 2x² - 13x + 2

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Q: 45. Use the properties of integrals to verify that 2 ≤ ₁₁ √1 + x² dx = 2√2 1

A: 2≤∫-111+x2dx≤22

Q: amount of material possible. (Hint: The surface area of a cylinder is S = 2πr2 + h(2πr), and its…

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Q: Find S- (x² + 4) ³. 43 dx

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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: a) Find the exact length of the curve 1 + 6 2x Y b) Find the exact area of the surface obtained by…

A: Given that a function y=f(x)= x3/6 +1/2x ; 1<=x<=2. (a)We find length of curve. (b) we find…

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: EC1) What is S sin 7x 8x dx ?

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Q: A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out…

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Q: Find the degree 3 Taylor polynomial T3(x) of the function f(x) = (3x +52) 4/3 at a = 4. T3(x) =

A: Given the function is: f(x)=(3x+52)4/3

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

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Q: The function f(t) = 700 represents the rate of flow of money in dollars per year. Assume a 20-year…

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