dx In x +1+ Vx² + 2x| + C Vx2 + 2x

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01? -3x + 229, where z…

A: Given problem:- A factory selling cell phones has a marginal cost function C(x) = 0.01x2 - 3x + 229…

Q: Each unit of a product can be made on either machine A or machine B. The nature of the machines…

A: Here, from the given details, C(x,y)=30+x26+260+y39 That should be minimized using…

Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A: We have to find the equation of population.

Q: Determine the general solution to the vector differential equation r' = Ax with A = [2030-40 -30 2]…

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Q: Sketch the region enclosed by x + y? x + y = 0. = 12 and = 0. a) Favoring convenience, should you…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given region is bounded by the function y=16x-2x2 and y=0 and rotating about y axis.

Q: Consider the function f: R → R define by f(x) = a?x3 + x² with a a real constant , a + 0, We can…

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Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: Duf :

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Q: Use the power series 00 1 1 + x (-1)"x" n = 0 to determine a power series, centered at 0, for the…

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Q: 5. A two-pen corral is to be built. The outline of the corral forms two identical adjoining…

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Q: Let f(x) = 10x° + rx? + e2x. Compute f(")(x). (Use symbolic notation and fractions where needed.)…

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Q: (a) Find the direction angles for the vector ỉ =AB ỉ +CD j +EF k. "Example if A=5 and B=7 so AB=57."…

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Q: Write an expression for the nth term of the geometric sequence. Then find the i a, = 8, r = n = 10…

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Q: Find the average value of f(x) = v9 – x over the interval (0, 3]. Write the exact answer. fave 1…

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Q: Assume the cubic function f(z) = ar+ b +cz+d, %3D has a relative maximum value of 3 at z =-2 and a…

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Q: The graphs of the function f (r) =7 – 2? and g(æ) = 3 are given below. %3D 10 f(x) = 7-x2 4- g(x) =…

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Q: Evaluate the iterated integral. 5 cos(r + y +:) dz dx dy

A: We know that integration of sinx is -cosx + c  and integration of cosx is sinx + c.       Here i…

Q: Find the slope of the tangent line to polar curve r=5sinθ at the point (5/2,π/6).

A: This question is related to Straight line, we will solve it using given information.

Q: Find the average value of f(x) = 14 – |x| over the interval [ – 14, 14]. fave

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: Let s(t) = 4t° – 6t2 – 144t be the equation of motion for a particle. Find a function for the…

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Q: The intelligence quotient, or 1Q, is a measure someone ability to reason and solve problems (some…

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Q: 10 (5, 10 -x, x>5 x55 Use geometry to evaluate f(x) dx for f(x) = O 12.5 O 25 37.5 Cannot be found

A: Given that fx=5,x≤510−x,x>5 To evaluate ∫010fxdx

Q: c) Use the Chain Rule to compute %3D ds se In (c) express your answer in terms of the independent…

A: Here, the given functions are: f(x,y,z)=x4y+z4, x=st2, y=st,z=s2t

Q: dx 2 X + 4

A: Topic = Integration

Q: Sketch the region R whose area is given by the iterated integral. Ap xp 8- 7- 7 6- 6 5- 5- 4- 4 3-…

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Q: Let f(x) = 10x + ax² + e2×. Compute f()(x). (Use symbolic notation and fractions where needed.)

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Q: Find the average value of f(x) 1 -x + 5 over the interval 0, 4. fave

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Q: If we have that f: R → Ris a continuous function , in which f'(7) = 6 and f(7) = -2 an equation of…

A: We have to find out tangent line

Q: Find the volume of the solid that results when the shaded region is 6 revolved about the indicated…

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Q: Consider the limits. lim f(x) = 5 x→7 lim g(x) = -12 x→7 Evaluate the limit using the limit law for…

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Q: Find the limit. lim (ti – 3j + r² k) 1-2 lim (t i – 3j+r k) = i+ j+ i k %3D i

A: The question can be solved using the concept of limits.

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: Consider the limits. lim f(x) = 6 x→7 lim g(x) = -8 Evaluate the limit using the limit law for a…

A: Evaluate the limit using the limit law for a quotient

Q: 4. Show that a b a +

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Q: Describe the graph of the equation. r = - 10i+ (1 – ²)j + t k O It is a parabola in the plane z = –…

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Q: Find the relative maximum and minimum values. f(x.y)=x +xy+y° 28y + 261

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Q: (8) Using Taylor's formula, e" log(1 + is approximately equal to (a) x – xy (b) х — ху + 2 (c) x +…

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Q: 1-6 Use an appropriate form of the chain rule to find dz/dt. 1. z = 3x²y*; x = r^, y = r² 2. z =…

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Q: Consider the curve (y2 = 9 +x) that defines y as an implicit function of x. If P (xo, yo) is the…

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Q: 13. Table 1 lists enrollment in US degree-granting instutions for both undergraduate and graduate…

A: We need to solve scatter plot problem.

Q: Consider the limits. lim f(x) = 5 x→7 lim g(x) = -14 x-7 Evaluate the limit using the limit law for…

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Q: Show that ā b 12

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Q: The volume of a torus (doughnut or bagel) with an inner radius of a and an outer radius of b is V -…

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Q: Find u + v, u - v, and 4u 5v. Then sketch each resultant vector. - u = (-4, 2), v = (3, -6) %3D (a)…

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Q: lim Max Ax Ef xi Ax, , is equivalent to lim Efa+iAx)Ax with Ax = 5 _b-a 1. The Riemann sum, AX, n00…

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Q: ICLO-1) Three players (Ady, Brenden, and Cara) are sharing a pie that is worth $15. Suppose that the…

A: This is a problem related to percentage. Based on the general formula and concepts we will answer…

Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) 1 ax +7 over the interval…

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Q: please

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Q: Consider the equation y"+ay'+by=f(x) where a and b are real constants. If the general solution of…

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