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Calculus

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Q: Calculus Question

A:

Q: The DeWitt Company has found that the rate of change of its average cost for a product is C '(x) = ...

A: rate of change of average cost for a product =1/4-100/x2 ...

Q: Find general solutions of the differential equation xy'=y+2(xy)^1/2

A: Click to see the answer

Q: Evaluate the integral. /2 sin t dt T/4 O a. -0.293 O b. 1.707 O c. 1.507 O d. 0.707 e. 1.207

A: Click to see the answer

Q: dy 1. Determine the general solution of x = 2 – 4x3 dx

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: A particle is moving with the given data. Find theposition of the particle. v (t ) = 10 sin t +3 co...

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Q: Scalar line integrals Evaluate the following line integral along the curve C.

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Q: In 2007, world population was approximately 6.6 x 109.By some projections, world population will dou...

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Q: find the slope of the curve at the given points y2 + x2 = y4 - 2x at (-2, 1) and (-2, -1)

A: Slope of the curve is the derivative of the curve at the given point. So differentiating given curve...

Q: Show that the curve r(t) = ( t3 /4 - 2)i +(4/t-3)j+cos(t-2)k is tangent to the surface x3 + y3 + z3 ...

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Q: (a) Find the intervals of increase or decrease.(b) Find the local maximum and minimum values.(c) Fin...

A: As per authoring guidelines the first three sub parts of the question is answered. Please repost the...

Q: A hawk flying at 11 m/s at an altitude of 132 m accidentally drops its prey. The parabolic trajector...

A: Click to see the answer

Q: determine th -7n 3n 6n + 1 n=D1 lim Vla %3D

A: The correct option is option 2 “diverges”. Find the an term from the series.

Q: Use a graphing utility to graph the function and identify any horizontal asymptotes. g(x) = 5x2/(x2 ...

A: Use a graphing utility to plot the graph of the given function.

Q: Calculus Question

A: Given a=1.41 , b=2.01 , C=51.9 degree

Q: Find the vertices, foci, and asymptotes of the hyperbola - X 16 = 1. (Enter your asymptotes as a com...

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Q: Find general solutions of the systems in Problem Attached.

A: Consider the given system of equations Compare the given system of differential equation with x' = ...

Q: Show P(x) dx\ dx yp(x) = e-/ P(s) dx / (2(w)e/ P©)d« ) dx Q(x). is a articular solution of dy/dx + P...

A: We have given a first-order differential equation;

Q: Use exponential and logarithmic differentiation to find the derivatives of the following functions:

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new quest...

Q: Find the nth order derivative of the cube root y=3√x.

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Q: Evaluate the integral ∫3√5x−1dx.

A: To find the given integral.

Q: An open tank has the shape of a right circular cone. The tank is 8 feet across the top and 6 feet hi...

A:

Q: find the domains of ƒ, g, ƒ + g, and ƒ . g ƒ(x) = √x + 1, g(x) = √x - 1

A: Now domain f is the set of all values of x for which, Now domain g is the set of all values of x fo...

Q: Find the values of x and y for which the sequence 2, x, y, 17, . . . is(a) arithmetic (b) geometric

A: 2, x, y, 17, . . . We need to find the values of x and y for which the given sequence is (a) arithm...

Q: evaluate the triple iterated integral.

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Q: 100. The heat equation An important partial differential equation that describes the distribution of...

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Q: Given the triangle 23 find the length of side r using the Law of Sines. Round your final 65 16 answe...

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Q: Prove the Sum and Di¡erence Rules for vector functions.

A: Let the vectors are, We have to prove,

Q: Use partial fractions, completing the square, and/or integration tables to find the following defini...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 2 and x 3 x intercepts at...

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Q: Find the limit.

A: Given,

Q: determine whether it diverges or converges. If it converges, find the value of the integral

A: To determine if the integral is convergent or divergent.

Q: Simplify complex rational expression. [(8 +1/x)/(4 -1/x)]

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Q: 6. Let a curve be parameterized by x = t³ – 9t, y = t +3 for 1 <t < 2. Find the xy coordinates of th...

A: Given that

Q: use the fundamental theorem of calculus to find the derivative of y=intergral of cos(t)/t^10, from -...

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Q: Complete the table by finding the appropriate logarithmic or exponential form of the equation, as in...

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Q: Calculate the first eight terms of the sequence of partial sums correct to four decimal places 00 Σ ...

A: We have given a sequence;

Q: Use the vertical line test to identify graphs in which y is a function of x.

A: We have to use the vertical line test to identify in the given graph, y is a function of x or not?

Q: 4. Determine the Riemann sum M, using the Midpoint Rule with n = 4 in order to approximate the integ...

A: According to Riemann midpoint rule:

Q: Could you help me with this question? I'm not sure how to solve for the values. I'd appreciate the h...

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Q: Use any of the trigonometric rules we learned to solve the following integrals:

A: since u have asked multiple question in single request so we will be answering only first question.

Q: Use separation of variables to find the general solution of the differential equation. (5 + x)y' = 2...

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Q: Use separation of variables to find the general solution of the differential equation. e*(y' + + 3) ...

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Q: Circulation and flux Find the circulation and the outward flux of the following vector fields for th...

A: Given: (i). F = ⟨x - y, x⟩ (ii). r(t) = ⟨2 cost, 2 sint⟩ , for 0 ≤ t ≤ 2π To Find: Circulation and o...

Q: dx V64 – x2

A: Since you have asked multiple questions, as per policy, only first is answered.

Q: A television camera is positioned 4000 ft from the base ofa rocket launching pad. The angle of eleva...

A: Given Data The distance of the television camera from the base of a rocket launching pad is a=4000 f...

Q: Use the methods of differentials to estimate the value of (x+1) over the square root of 2x+1 at x=4....

A: Use the quotient rule to find the derivative for f(x).

Q: Determine any extreme points to ? (?) = (? − 3) ^2 ?^? in the interval [0.4].

A: We find the derivative of f(x)

Q: Solve the differential equation. f '(x) = 9x, f(0) = 4 %3D

A:

Q: 1+4+9+16+25+36 translate into summation notation

A: It can be rewritten as,

Transcribed Image Text

Use the initial condition to find the particular solution of the differential equation. differential equation y' + y = 2ex initial condition y = 1 when x = 0