Evaluate the integral shown using Simpson's 3/8 Rule with 18 panels. 12 larctan dx O 32.52032262 O 32.52020854 O 32.52021263 O 32.52023049

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t = 0 1 1 1 T(0) = V3'…

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Q: The value of the integral I= 3 dx is required in the development of the normal probability density…

A: I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

Q: 3. Let x² – y? x2 + y2 - f(x, y) Determine the limit of f(x, y) as (x, y) approaches (0,0) along the…

A: To find the limit of a function in two variables

Q: (x² + 8, if x4) Consider the function f(x) = Find the value of B such that f (x) is continuous at x…

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Q: As shown in the figure below, Ann is standing 36 feet from the base of a leaning tree. The length of…

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Q: Let Ā = (1,3, –2) and B = (–1,-2,3,). Find the following. 1. The cosine of the angle between 3Ã + B…

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Q: Rewrite the equation x? + y? + z² = 2 in spherical and cylindrical coordinates.

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 4, -4) and the vector component of v…

A: As we know that; The expression for the vector component of v along b is: Vector component of v…

Q: A. Products of Powers of Sines and Cosines, Evaluate the integrals in Exercises 1-8.

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Q: Find Duf at P. 2 f(x, y, z) = 6x³y°z°; P(2, – 2, 2); u = ;i + -k

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Q: Consider a triangle ABC like the one below. Suppose that a= 32, b= 37, and A=30°. (The figure is not…

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Q: How many man hours are required to load a freight car with 40 tons of product packaged in 100-lbs…

A: Total load=40 tons 1 ton in US=2,000lbs 40 tons=80,000lbs

Q: If f(0) = 0 and f'(x) E (0, 1]Vz E [0, 1] then ( red) %3D can not take values S(=)*dz

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Q: Suppose f(x) dæ = A. Explain graphically what the value of the integral below is when %3D f (x) is…

A: Suppose ∫0afx dx=A. To explain graphically what the value of the integral below is when fx is an odd…

Q: sify whether f(x) is continuous or discontinuous at the point/s. If disco x – 2 x <-1 f(x) = { x² +…

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Q: Determine whether the line and plane intersect; if so, find the coordinates of the intersection. (a)…

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Given:  To find: Area of the triangle.

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). 13 15. r(t) = t'i + t5j K(t) =

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Q: Evaluate r(3+2r + r²) Find the limiting values of: 3x2 + 5x – 4 5x² – x + 7. x² + 5x – 4 Зх + 1 -…

A: 1. ∑r=18r3+2r+r22.a) 3x2+5x-45x2-x+7b) x2+5x-42x2-3x+1

Q: (х+6)dx 6. S- (х+2) (x+2)

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Q: y" tuy=3(sct

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Q: Find the area of the shaded region. r = V cos20 r = 6 cos 0 NOTE: Enter the exact answer. A

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Q: The motion of the particle is given by the equation v (t) = 2.00 t² – 3.20 t³ . What is the average…

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Q: 4. f(x) = Vx , g(x) = Vx + 1 %3D %3D V4-x2 5. f(x) g(x) = |x| %3D V4-x

A: 4. Given : f(x) = ³√x = (x)1/3 and g(x) = √(x + 1) = (x + 1)1/2 fog = f[g(x)] fog = f[(x + 1)1/2]…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 200…

A: Given: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold…

Q: Which among the following will result from the evaluation of limit below? lim,0 where m =n. Bg ath…

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Q: Consider a triangle ABC like the one below. Suppose that A= 128°, C=25°, and b= 56. (The figure is…

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Q: Given f(x) = z-1 22 +x-1 if x<0 %3D find the values if x 20 22 of x where f(x) is discontinuous and…

A: At x=0 , f(x) has removable discontinuous.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4, 0,…

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Q: Which of the following answer choices correctly graphs the equation below? y=sin(x+ π/3) −1

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Q: Find the absolute maximum and minimum values of the function over the indicated​ interval, and…

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Q: From Rogawski ET 2e section 10.2, exercise 34. Use the formula for the sum of a geometric series to…

A: topic - geometric series

Q: Let f(x) = 4ã. Compute f'(1) and find an equation of the tangent line to the graph at x = 1. (Use…

A: Given     f(x) = 4x3    f(x) =4x13 Now differentiating above equation with respect to x to get f'(x)…

Q: 2. Let A = (1,0, 2) and B = (6, -2, 3). Solve for proja B. %3D

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Q: Evaluate the following limit: x1-14-V2 lim,-2 r-16

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Q: X/2

A: We have to find ∫3x2 dx.

Q: xel+x/2 dx V

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Q: For the functions f(x) = xeX %3D 1. The minimum value of the function occurs when x = 2. A point of…

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Q: (a) Find an equation of the tangent line to the curve y 14x sin(x) at the point (x/2, 7n). y = (b)…

A: a) y=14xsin(x)Differentiatey'=14sin(x)+14xcosxSubstitute x=π2y'=14sinπ2+14π2cosπ2y'=14+0y'=14Slope…

Q: Write the equation of a sine or cosine function to describe the graph. 10n 3 3 3 -2+

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Q: divergence. , (-1)"-1 R 2n Test the series for convergence or

A: Here we use the ratio test for convergenceFor a series ∑an  then limn→∞an+1an=L then (i)  if L&lt;1…

Q: • The domain of the function is set of all possible input values for which function is defined.…

A: Given the function  y=x2-x

Q: 3) Which type of quadric surface listed in Table 2 below is 4x² + y² + 4z² – 4y – 24z + 36 = 0?

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Q: { 3x-5, Зх-8, if x 2 limit of f(x) exists.

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Q: Let f(x) 16 Using the definition of derivative at a point, f(9) f(z)- f(9) lim , enter 6. the…

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Q: (a) x = 4t, y = – 3+ 3t O (x, y) = ( – 3, 0) + 1(3, 4) ai + bj = - 3i + t(3i + 4j) O (x, y) = (0, 4)…

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Q: Which among the following will result from the evaluation of limit below? lim, where m = n. Bg aTt…

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Q: a. Determine "(®) if fx) = (8x² + x)³. Write your answer in simplified form. %3D b. Determine

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Q: A fast-food restaurant has a cost of production C(x)=13x+90 and a revenue function R(x)=8x. When…

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Q: Given h(x)dx=- and G(x)dx =What is [8h(x)-3G(x) ]dr? 3. %3D O Cannnot be determined O 2 O none of…

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