ог Question A.) Does this CONVERGE • DIVERGE ? (~) ² M nal

Q: Given cost and price (demand) functions C(q) = 100q+42,600 and p(q) = -1.8q + 860, what is the…

A: Cost function C(q) = 100q + 42,600 Demand functions p(q) = -1.8q + 860  Marginal revenue is the…

Q: The degree of DE: (y")^2 +3y(y')+y^3 (y')^5 = 5x 02 01 05 0 3

A: Recall:  The degree of D.E. is the highest power of the highest order derivative in a D.E.

Q: Let f(x) = 2x³ - 3x² - 120x+7. a. Find all points on the graph of f(x) at which the tangent line is…

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Q: Find the transition points. f(x) = x(11-x)1/3 (Use symbolic notation and fractions where needed.…

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Q: Given the differential equation y²dx + (3xy + y² − 1) dy = 0 What is value of SM ? dy

A: Given the differential equation, y2 dx+3xy+y2-1 dy=0To find the value of δMδy.

Q: dy 3. dx + y = 2xy² ex

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Q: A ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meters above the…

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Q: 1. Jổ xdx xdx ull ch 2. √²2² (x²-x)dx 3. f2, xdx

A: We have to solve as per guidelines Solving by fundamental theorem of calculus

Q: Find a potential function f for the field F = 4y + 5z ( i + 4x j + 5x k). A general expression for…

A: Solve as general

Q: 2. Find the area of the region between the curve, x = y² + y −6, y- axis and y=0; y = 3.

A: we need to find the area bounded by the given curves.

Q: 3. Find the area of the region enclosed by the two curves y = x² and y = -2x² + 3x.

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Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2…

A: We want to find slope at the point x=25

Q: 7. Find the Taylor series for f(x) = ln(9 – 3x) centered at 1. Write the final using sigma notation,…

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Q: 2 Find all local extreme values of f(x) = -2.3 + 11x² 56x + 30. 3 The FIRST local extreme value,…

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Q: 1 2 3 4 5 ements below that you agree with. be checking more than one box. No partial credit.…

A: Topic:- calculus

Q: Evaluate Th - dx ¹1+x

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Q: Which of the following integrals would best approximate the area of the region bounded by y2-x=0 and…

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Q: and A solid is generated by rotating a plane region that is bounded by the curves y = 2² = y about…

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Q: Find the exact value of the surface area generated by revolving the curve 1 + 1≤x≤2, about the…

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Q: 5. Find the surface area of x = e³ that is of revolution about the y-axis on 0 ≤ y ≤ In 7.

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Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, 15

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Question 5 What is the amount of work done on a spring when it is compressed from its natural length…

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Q: B. The vector = (4, -2, 1) ends at the point P=(7,-7,2). At what point does the vector start?

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Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

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Q: Basic Ca Derivatives Water is being poured at a rate of 5m^3/s into an inverted conical tank of…

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: R is the region bounded by the functions f(x) = and g(x) = -4+. Find the area A of R. Enter an exact…

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Q: Problem 7 x√x + 1 dx

A: Given ∫07xx+13dx

Q: a problem of physical  phenomena that can be solved as differential equation using Euler method.

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Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t² -…

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Q: s={ 3112 4'2'3'9' =(5, 5.5, 6, 6.5, 7, 7.5,...} = {√2,2√2,3√2, 4√2,...} ={√2,2,2√2,4,...}

A: Topic:- sequence and series

Q: 4. Consider the region bounded by x = y² + 4y - 2 and x = 1. The region is revolved about the…

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Q: The graph C of the equation y = gives the course taken by an oil tanker after leaving port, which is…

A: Here we have to find the arc length.

Q: A region is bounded by the y=x2 and y=6x-x², Which of the following integrals would approximate the…

A: Option (a)

Q: (d) Let an = 6n²+ n-1 ntn and bn √n n+1' (i) Determine whether {an} is convergent or divergent.…

A: Given;  an=(6n2+n-1) /(n2+n)  bn=sqrt(n)/(n+1)

Q: The region in the first quadrant bounded by the graph of y=8-x32, the x-axis, and the y-axis is…

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Find the Differential equation Ⓒ (y + x²) dx = x dy

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 1 S²₁x² ex³ dx 1

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Q: A region in the first quadrant is bounded by the curve >= 1+ sin²x, the coordinate axes and the line…

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Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

Q: FCILICI. B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: ?T f(t)=√ t` cosnt dt ((나) ans = 4 12 The easiest way to solve the integral so that the result is as…

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Q: y = log₂ (1+x²)

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Q: 6. Find of z = In(xy) 8²y

A: Given:       z=lnxy     ∂z∂y=∂∂ylnxy  Treat x as constant  Apply chain rule:…

Q: For the given function f(x,y)=x²y³+3x³y, find a flay (A) 2xy³+9x²y B) 2+18xy C) 6xy²+9x² D 3x²y²+3x³

A: Topic = Derivative

Q: Use the trapezoidal rule with n = 20 subintervals to evaluate I = -5 sin² (√0× t) dt

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Q: A conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft…

A: Let's find total work(W).

Q: d²y dy 4. (a) Compute the general solution for: +4 dt +3y=e-t/2. dt² (b) Compute the solution with…

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Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATION: (D^2+4)y=4cot2x

A: