(A) 2 f(x) $ ƒ(2) >0 f'(2) < 0 to 2 f(x) (B) f"(2) = 0 2 (C) f(x) $ 2 (D) f(x) $

Q: [cos (2² +3³)dA where D = COS Round your answer to four decimal places. Find 1.4960 where D = {(x,…

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Q: Determine wether the following series converge or diverge. State and explain the test you used to…

A: To determine whether the following series converges or diverges.

Q: _. Let ƒ(x) = (x³ + x² + 1)e²³+1 and g(x) = ex³+¹ (a) Draw a rough sketch of the graphs of the…

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Q: Find the limit. 8xy lim (x,y) →(0,0) x² + y² The limit is The limit does not exist.

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Q: 2. Compute Jet ds for f(x, y) = √1+9xy and the curve C defined by the equation y = x³ for 0 ≤ x ≤ 2.

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Q: مه (ع)f(x)g = Consider C0, 1 with inner product given by (J.9) - 6. 9) of z onto V. (r)g(c) de. Find…

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Q: Integrate f(x, y, z) = xyz along the curve r(t) = 2ī+(3sint)j + (3 cost)k, 0≤t≤ T

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Q: (b) (-1,√3) (1) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2π. (C (r, 0) =…

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Q: Give the equation for the asymptote of the graph of the logarithmic function h(x) = ln(x + 4) + 7.

A: h(x)=12ln⁡(x+4)+7

Q: Password Hints: 11 f f(x) dx = -8 -8 11 S g(x) dx = 12 -8 8 f g(x) dx = 6 -8 11 First Number: (4…

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Q: The equation of the circle (x-1)2 + (y-2)² = 9 can be represented with the parametric equations:…

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Q: 5. The graph of a function y=f(x) is shown to the right. For this problem, we will use it to sketch…

A: The graph of f(x) is shown:

Q: Let A(x) = fi f(t) d t where f is the function given by the graph below. -1 41 3 2 1 -1 -2 -3 -4 P 0…

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Q: Compute the mass of the sold that occupies the region bounded by the given surfaces, and has the…

A: z=x2+y2,z=2 and σ(x,y)=2z

Q: Find the inverse Laplace transform of- fes 3² (5²+4) a. ₁ (t-1)U(t-1)+sin2(t-1)U(t-1) b.…

A: The given function

Q: A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of…

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Q: 6. Find GCF (156, 24) and LCM (156, 24)

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Q: Given that f(x) dx = 3 and ſå f(x)dx = 4. 2 6 A) f f(x) dx = 2 B) f²2² 3 f(x) dx = 6 c) f f(x) dx =

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Q: Given the graph f(x), find f f(x) dx using formula(s) from geometry. Enter an integer or a fraction.…

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Q: Find the work done by the force field F in moving an object from P(-9, 3) to Q(3, 7). 2x y F(x, y) =

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Q: Use Green's Theorem to evaluate the integral. Sy²dx + 6xydy, C is the boundary curve of the region…

A: ∫Cy2dx+6xydy,C is the boundary curve of the region bounded by y=x,y=0 and x=4 in a counterclock wise…

Q: Select the equation of the parabola with vertex (3, 2) and directrix y=-1. O(x-3)² =12(y-2) ○ (x-3)²…

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Q: Consider the matrix: -2 -22 10 2 1 4 7 17 -13 Select the correct row operation to change the matrix…

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Q: 3 If f(x) is an even function, and if ſ³ 6ƒ(x)dx S³3 f(x) dx. = 15, find

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Q: Determine the equation of the tangent for the function: f(x)= 16 x4 +5 x³ +28 4.x³ . at the point…

A: The given function equation is

Q: Find the sum of the series. 00 n=0 e-(5n)2 3(n+1)! 57 37n! X

A: The given series .The aim is to find the sum of the series.

Q: If tan(x) = = cos(2x) = 21 11 (in Quadrant-I), find (Please enter answer accurate to 4 decimal…

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Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = ln(2x + 3y +6z). F(x, y, z) = 2 Check…

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Q: 8. Let f(x)= e tan(r). Then f'(x) = (a) e tan(x) + sec²(ar); (b) e sec²(r); (c) e tan(x) + e…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: Find the distance from the point (-1,-4,1) to the line ä(t) = (2,0,5)t + (2,9,-5).

A: To find the distance from the point  to the line

Q: Solve the following differential equations of y"-9y= X 3x

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Q: Let z(x, y) xe Calculate dx dt CA ▪▪▪▪▪▪▪▪▪▪ www.m by where x = dz dt tº & y = 4 + 6t. dy dt Now use…

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Q: Find the indicated partial derivatives of f(x, y) = 3x³y² using the limit definition. The limits…

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Q: 6) Determine whether En=07 converges or diverges. √n (Inn)10

A: A series is said to be convergent if its limit exists.If the limit does not exist then the series is…

Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = ln(5x+4y+62). F(x, y, z) =

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Q: (a) Find the Taylor polynomial of degree 3 centered at 1 of the function f(x) = -1. e

A: To find a Taylor polynomial of degree 3 centered at 1 of the function .Note: Since the student has…

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Q: (b) a = (8, 7, -2), b =(7,-1,7) a.b= orthogonal parallel neither (c) a 12i+ 8j + 4k, b = 9i - 6j -…

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Q: Evaluate the definite integral ²6. KIN using the Fundamental Theorem of Calculus, Part 2. 6 sin…

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Q: Find [x²³zds x²z ds, where C is the line segment from (0,4,-4) to (-5,1,-10)

A: Find ∫Cx2zds, where C is the line segment from(0,4,−4) to (−5,1,−10)

Q: Find the sum of the infinite series (-1)" n! M8 n=o

A: The given series is

Q: Identify the equation without applying a rotation of axes. x²-9xy + 5y²-y-14 = 0

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Q: Evaluate SF.nds.... F(x,y,z)=(2z - y)i + xj - 2xk, and S: a sphere of radius 1 centered at the…

A: Evaluate ∬SF⋅n dSF(x,y,z)=(2z−y)i+xj−2xk, andS:a  sphere of radius 1 centered at the origin, and n…

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Please show your answer to 4 decimal places. Find the maximum rate of change of the function f(x,…

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Q: Determine whether the series divergent. En=1 7th n² (2n)! is convergent or

A: The given series is The ratio testIf &lt;1 then series convergent If  then series divergent If  then…

Q: If cosa = 0.514 and sin ß= 0.801 with both angles' terminal rays in Quadrant-I, find the values of…

A: Given data