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Q: The graph of a twice-differentiable function is shown in Which one of the following sets of…

A: Please see the below picture for detailed solution.

Q: Determine h (x²) for the following function. h(x) = 4x x² - 4x + 5

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Q: Find the centroid (x, y) of the region bounded by: y = e³¹, y = 0, x = 0, and x = 2.

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Q: Find the dimensions of a rectangle (in m) with area 2,197 m² whose perimeter is as small as…

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Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function…

A: The Answer is in step2.

Q: Investigate the one-parameter family of func f(x) = x - ax¹/2 (a) What is the domain of f(x)?…

A: Given : Domain : find non negative value of radical Answer :

Q: a tank contains 1000L of brine with 15kg of dissolved salt. pure water enters the tank at a rate of…

A: The answer is in step 2.

Q: Let a = (0, -4, - 3) and b -4, -3) and 6 = (-2, 1, 0). Find the angle between the vector (in…

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Q: Last time now, with d = 3.42 m. You start the block on the track at rest, somewhere to the left of x…

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Q: If y₁ and y₂ are linearly independent solutions of ty" + 2y + te³y = 0 and if W(y₁, y₂)(1) = 5, find…

A: The given differential equation is: ty''+2y'+te3ty=0

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: Given:-  The solid obtained by rotating the region in the first quadrant bounded by the curv x = 0,…

Q: The vectors [.. -9 are linearly independent if and only if k # ū -4 4 13+ k_ " -3 7 16

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Q: 52 16 59 12 20. If an = 4(3)″−¹, what is S3?

A: Given: an=43n-1

Q: Find the volume of the solid bounded by z = 13 - 13(x² + y²) := (x² + y²) ² − 1.

A: The given curves are:z=13-13x2+y2         and           z=x2+y22-1

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? *x+9² [1,…

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Q: Question 2. Consider the following linear programming problem. Min 7.505 + 9.00P s.t. 0.105 0.065 5.…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variables S=x and…

Q: X = X = 8x 17. What is the exact value of the exponential equation 6.6 + e³x = 45.6? X = In 39 8 In…

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Q: Learning Target INTI: I can correctly antidifferentiate basic functions and identify…

A: To find the general antiderivative of the given functions . The general antiderivative, also known…

Q: Find the average value of F(x,y,z)=x² + y² + z² over the rectangular solid in the first octant…

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Q: Find the area of the curve: y = 9-x² and the x-axis

A: We are authorized to answer one question at a time, so we are answering the first one. Please repost…

Q: The displacement from equilibrium of an oscillating mass attached to a spring is given by y(t) = 5…

A: The displacement is given as , yt=5cos3πt

Q: Find a parameterization for the circle (x-6) + y² = 9 starting at the point (3,0) and moving…

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Q: f(x)= 6(x+2)²(x-1)(x+3) 2(x+1)(x-2)(x+3)

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Q: Consider the following vector function. Find each of the following. r'(t) = r¹(5): |r'(5)| = r(t) =…

A: Please see the below picture for detailed solution.

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) =…

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Q: Given f(x, y) = 2x² + 6xy³ + 4y5, find the following numerical values: f(3, 3) = 4. f₂(3, 3) =

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Q: Find f.  f'(t) = t + 1/t3,    t > 0,   f(1) = 6

A: Given  f'( t ) = t + 1t3

Q: Find the distance from the point (7,-4,5) to the line a(t) = (5,-3, -2)t + (6, 8,-4). Calculator

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Q: Find the derivati: (2) g(x)= g'(x) = 25 35+2 (5) 3 2 b) f (x) if f(x) = 5x ² + 6x² - 9 f(s) (x) =

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Q: A function and the graph of a feasible region are given. f = -x + 5y 12 8 y (5,10), 4 8 (10,6) 12 x…

A: Maximum and minimum values of the function can occur at corner points.

Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in…

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Q: A dense particle with mass 6 kg follows the path r(t) = (sin(3t), cos(9t), 2t9/2) with units in…

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Q: We can represent planes using either vector equations or scalar equations. Which form do you think…

A: We have to answer which form of plane is better Either vector or scalar

Q: f(x)= ated at: ertical (x-3)² 5(x+1)²(x-2) 4. The rational function above has an odd vertical…

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Q: C. L dz c. 1³, ( 2²/17 - 24 )

A: Fundamental Theorem part 2If fx is continuous over the interval a,b and Fx is antiderivative of fx…

Q: The position function of a particle is given by r(t) = (3t2, 3t, t² - 2t). At what time is the speed…

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Q: A company produces a spherical object of radius 21 centimeters. A hole of radius 3 centimeters is…

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Q: Find the distance from the point (-6,3,1) to the plane: x-2y-4z = 8.

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Q: Prove that the following ~ is an equivalence relation: Suppose W = (X,Y) is a graph. We define the…

A: Please see the below picture for detailed solution.

Q: For each cost function (given in dollars), find the cost, average cost, and marginal cost at a…

A: Given : a. at q = 1000 Average cost = 128000/1000 = 128 dollars / unit   Marginal cost for q=1000

Q: The region bounded by f(x) = −1x² + 6x + 27, x = 0, and y = 0 is rotated about the y-axis. Find the…

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Q: Find the scalar equation of the plane containing the line: 1₁: [x, y, z] = 1₂: [x, y, z] = [2, 6,…

A: The solution is shown below-

Q: A cable runs along the wall from C to P at a cost of ​$4 per​ meter, and straight from P to M at a…

A:

Q: 7. (cosx+xcost)dt + (sint-t sin x) dx = 0 Ans. t cos x + x sint = c

A: The objective of the question slove the the differential equation.

Q: Find the absolute maximum and minimum of the function on the given domain. f(x,y)=2x² + 7y² on the…

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Q: b) Determine the intervals on which fis increasing or decreasing. Then find the local maximum and…

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Q: ver Find the slope of the tangent to the curve f(x) = X- - () at x = 0.

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Q: Consider the curve r(t) = (6 cos(t), 6 sin(t), e), 0 ≤ t ≤ π. Find r'(t). r'(t) = Consider the plane…

A: Given curve:- rt=6cost,6sint,et

Q: Find all the first order partial derivatives for the following function. f(xy) = 1 vx2 + y2 O A f Əx…

A: f(x,y)=1x2+y2f(x,y)=(x2+y2)-12 ∂ ∂x(xn)=nxn-1