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Q: find f(-2). x+5 if - 3 ≤ x 4

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Q: Use the fact that sin ? =???−?−??/ 2?( e raised to the power i t minus e raised to the power…

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Q: The graph (-7x+8)/(e^x) has a horizontal tangent at x=?

A: The function is given by y = -7x+8ex To evaluate: The value of x at which the tangent to the graph…

Q: Use the second derivative test to identify any critical points and determine whether each critical…

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Q: i) f 3x +2x?+x dx *

A: given that, ∫3x3+2x2+xx dxwe know that,∫xn dx=xn+1n+1+C

Q: Given two vectors ū and v such that the length of u is 3 and the length of v is 5, and the angle…

A: As per your request , (3) Given that , u→=3 , v→=5 , θ=π3 Determine u→×v→2+2u→+v→·u→=?

Q: Use calculus to calculate and to prove that the volume of a right circular cylinder with radius r…

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Q: Given f(x) g(x) = = tan x 1 - sec x then f'(x) = 1 g(x) - 1 -. Find g(x).

A: To find g(x)

Q: lim ln x x-0

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Q: A closed box is in the shape of a rectangular solid with dimensions x, y, and z. Suppose each…

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Q: 54. P(x)= x³ + 2x²-3x - 10, 55. P(x) = 2x³ + 7x² + 6x - 5, 56. P(x) = x + 3x³ c = 2 c = } 16x²27x +…

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Q: 4. Use two different methods to solve the following problems. (If it's possible) a. fx(x² + 1)² dx…

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Q: Find f', given f'(x) f(x) = * sin(x4) x² +1

A: To find derivative of the function.

Q: How much work is required to move an object from x = 1 to x = 7 (measured in meters) in the presence…

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Q: Calculate the first, second, and third derivatives of y = 8 - 4x. (Use symbolic notation and…

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Q: os ¹(-)) 2 Find the exact value of the expression tan cos tan (cos -¹( - )) - COS (Type an exact…

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Q: 8) Given two planes P₁:2x+4y+3z=4 and P₂:x-y-2z=-3 (a) Let L be the line of intersection of the two…

A: Given Planes :- P1: 2x+4y+3z=4 P2: x-y-2z=-3

Q: Graph the curve. 4e cos(t), y 4e'sin(t), 0 stsn

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Q: g(x) = x² - 2x x² - 4x +4 5 x² - 2x - 8 x2 − 5x+6 , x 2

A: g(x)=x2-2xx2-4x+4    , x<25                 ,x=2x2-2x-8x2-5x+6      ,x>2

Q: The sales of a new high-tech item (in thousands) are given by the following function, where t…

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Q: Find the partial fraction decomposition of -6x - 16 x² + 6x + 8

A: -6x-16x2+6x+8

Q: A large rectangular fish tank has width 4 ft and length of 8ft, the sides are 2 ft high, and tank is…

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Q: f(x) = 3x² + 5√x - 10x²³²³+7³ -3 -3

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Q: 8. Let s(t) = 2t² - t + 1 be the position of a particle from its starting point, in meters, after t…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: For the function f(x, y) = √25 – x² - y², find the equation of the - level curve associated with the…

A: Given function:- fx,y=25-x2-y2

Q: Problem 8. (a) J (b) e sin (x) c+3) ln (x) dx 2 (c) * (In (In (x))² dx Calculate each of the…

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Q: Given f() following: a) g = = 6 and f'() b) h()-[ = - 6. Also let g(x) = f(x) sin(x) and h(x) - f(x)…

A: Given :gx=fxsinxhx=fxcosx

Q: (e) Find equations of the horizontal and vertical asymptotes of the graph of f(x). HA VA:

A: Given query is to find vertical and horizontal asymptotes.

Q: 2. Find the domains of the functions f(x, y) = ln (x² − y) and g(x, y) = 14 y²-x²

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Q: 45-46 Find az/ax and az/ay. = = f(x) + g(y) 45. (a) z (b) Z = f(x + y)

A: We have to slove above questions

Q: lim ln x x-0

A: Given:      limx→0 ln x Left hand limit:    limx→0-ln x As can be seen, left neighborhood of the…

Q: giờ giả-50 x²-3x+2

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Q: 1. Center at (-3, 9), a vertex at (-6, 9), and conjugate axis of length 8. 2. Asymptotes at y =…

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Q: estimated

A: Given: P(t) = 13.86t0.535 Where, P(t) = percent of the population t = time in year since 2011

Q: Given the functions f(x) = 3x - 1 and g(x)= answer the following (simplify all answers as much as…

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Q: 1. Asymptotes at y = 5/3x - 29/3 and y = -5/3x + (11/3 and a vertex at (1, -3).

A: Given find intersection of asymptote , which is center of hyperbola ( h , k ) = ( 4 , -3 )   one…

Q: 0 -5 3) a) Given four points on the function y = f(x), A(-3,0), B(0,6), C(2,-2), and D(3,0), find…

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Q: Evaluate the integral. x+7 2 x² +64 dx

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Q: Use Lagrange multipliers to find the minimum and maximum values of f(x, y) = x + 3y, subject to the…

A: f(x,y)=x+3y

Q: Graph the functions on the interval [-7,7]. Include all asymptotes and labels on your graphs where…

A: We have to plot the graph of 1) y= sin x 2) y = cos x 3) y= tan x Under the given interval with…

Q: Find a and b so that the function is both continuous and differentiable. f(x) = 7x³5x²+4, x < -2, x…

A: To find a, b

Q: Determine the curvature of the elliptic helix r = : (7 cos (t), 8 sin (t), 8t) at the point when t =…

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Q: Check that the four points P(2, 4, 4), Q(3, 1, 6), R(2, 8, 0), and S(9, 2, -1) all lie in a plane.…

A: Given points : P(2,4,4), Q(3,1,6), R(2,8,0) and S(9,2,-1)

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

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Q: 2) g(x) =x2+3x-5, afx = 1

A: We need to find out the derivative of the given function at x=1

Q: 1. Given f(x, y) = x³y − 3xy + y² – 1. (a) Find the critical points of f. (b) Use the Second…

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Q: 3. Find the area of the region enclosed by the line y = x - 1 and the parabola y² = 2x + 6. Graph…

A: Solution is given below:

Q: Instructions: Given: y=-3(x-1)² +12 Match column A: Match the correct answer from column B with each…

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Q: (a) Draw the vectors a = (4, 3), b = (2, -1), and c = (9, 1). y 10r 10 5 5 p po kap -10 5 -5 5 10…

A: (a)  to draw the vectors a=(4,3)   b=(2,-1)      c=(9,1)