Find the value of c so that f(x) is continuous at x = 3? x2 f(x) = x < 3 %3D x- 3 (cx2 - 10 x > 3

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Q: Suppose that f(x, y) = x' + y – 2xy Then the minimum is

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A: Given ; Line meets plane = ?   x = -3 + 5t   y = 3 + 6t   z = -2 + 3t   Plane;        x + y + z =…

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A: we have to find the limit

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Q: Evaluate dx 2 1-x

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Q: Find the velocity and acceleration vectors in terms of u, and ug- de a0 r= 5 e and = 1 - dt v=Ju,…

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Q: 3) Explain why the Cartesian equation 2x– 5y+ 3z = 2 does not describe the plane with normal vector…

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Q: Suppose that f(x, y) = x? – zy + y² – 3z + 3y, with domain D constrained by the lines y = z, y = 0 ,…

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Q: Consider a rectangle with the following property. Perimeter: 112 meters Let w represent the width of…

A: A rectangle has perimeter 112 meters.

Q: y=4x-x², y=x

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Q: Given (x+ y}* – ( x - v}² = x* + y^, find dy/dx using implicit differentiation. A. - 2- E. None of…

A: Given x+y2-x-y2 =x4+y4. We have to find dydx  using implicit differentiation.

Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

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Q: the line tangent to the graph of f at the indicated value of x. Find the value(s) of X where the…

A: The given equation is  f(x)=ln(4-x2+2x4); x=1.

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A: The function ft=4600.2t represents the change in a quantity over 't' months. To determine what does…

Q: A power representation of the function f(r) = for -1 <a<1 is 1+ %3D

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Q: Using half-angle identities, find the exact value of tan Note that (1 cos 0 1– cos 0 sin 0 tan 2 1+…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = x =…

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Q: Solve 12 sin (t) + 2 cos(t)- 8 = 0 for all solutions 0 <t < 277 t = Give your answers accurate to 2…

A: The given equation,      12sin2t+2cost-8=0

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A: Concept: Maximum and minimum value: To find the maximum and minimum value of a function using first…

Q: d the volume of the solid whose base is the region enclosed by y = x² and y = 2, and the cross…

A: Topic:- application of integration

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Q: The volume of the solid obtained by rotating the region enclosed by y = eSz + 2, y = 0, T = 0, I=0.4…

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Q: Find the following for the vectors u = - 5i + 8j + V5 k and v = 5i – 8j – /5 k. a. v•u, v, and Ju b.…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: 2) The height (in feet) of an object that has fallen for t seconds from a height of 800 feet is…

A: Topic:- calculus

Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2

Q: - Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D %3D

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Q: Find the velocity and acceleration vectors in terms of u, and ue en r=6 sin t and 0= 9t

A: The velocity is given by            v = r' ur +rθ' uθandThe accerleration is given by        a =r"-r…

Q: Solve the initial value problem forr as a vector function of t. d'r - 2k dr? Differential equation:…

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Q: 1-r 1 can deduce, by applying the formula at r = -9, that 10" -1/8 1-9 Select one: O True O False

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Q: x+6 lim 2. X6 X -36

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Q: Find the volUme OF the solid obtained by rotating about the y-axis the region boUnded by y= x° the…

A: Follow the procedure given below.

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

A: A detailed solution is given below.

Q: Given the graph of the function f(x) below, find the following Write "DNE" if the limit does not…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: lim (5x + 1)cot* x-0+

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Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

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Q: 2X 3- dy + 2 (9e-x) dx = o e SinX dy + Cosx y tan x 4-

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Q: Зx2+2 dx 0 2x²+4x+3

A: Adjust the numerator to get the known integral form.I have add and subtract the same value to get…

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Q: 4-In any clements is the only hilpolent elements O ac-b)= C-ajb= - Cab) O C-a) (-b) =ab %3D %3D

A: 1.  We have a(-b) + a.b =a.(-b+b).     ( Distributive law )                    = a.0…

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Q: 2 | [ cos ti- sin 7t j+sin 6t k]

A: Given :

Q: Find the area of the region that is enclosed between y = 11x? – 2³ + x and y = x? + 25x. The area is…

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Q: Calculate the volume of a cylinder inclined at an angle 0 = 30° whose height is h = 9 and whose base…

A: Solved below.

Q: Find the volume generated by revolving the area bounded by y =r,r=2, y = 0 about the line z = 2.…

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