Find the smallest number n of terms needed to obtain an approximation of the series 10-6. Hint: Solve ľ n n = 31 X 4dx < 10-6 for n. k=1 accur

Q: The number of welfare cases in a city of population p is expected to be W = 0.006p4/3. If the…

A: We will apply the concept of implicit differentiation to solve the problem.

Q: 3X y 2y = 4y + 8y = 2³x + 8x² 2X <-2X Ans: y = ₁2x + ₂xe + cze -25 X -3X 2 —=== ² + x + x + 1²/2

A: This is a problem related to ODE. Based on the general formula and concept we will answer.

Q: Step To sketch the graph of f(x) = 4x - x², first construct a table of values by evaluating the…

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Q: Consider the equation below. 12 3-sin (8) (a) Find the eccentricity. e " (b) Identify the conic. O…

A: Given equation :- r=123-sin(θ)

Q: Graph the function. {# +1₁ 45-5 42 y

A: Consider the function  g(x)=x+1,          x≤-512x-7,      x&gt;-5

Q: Let (-7, 3) be a point on the terminal side of 0. Find the exact values of Sin Ø, Csc Ø and Cot Ø

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Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. x = eu sin v, y = eu cos…

A: To find the jacobian.

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: Evaluate the following Rational Fractions -(3 cos² 0 + 8 cose-12) sine de cos³ 0+7cos² 0+ 12 cos 0…

A: The given integral is;  -(3cos2(theta) +8cos(theta)-12)sin(theta)/(cos3(theta)+7cos2(theta)…

Q: Integral Calculus (

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Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. 8u, y = uv x = UV a(x, y)…

A: Given,            x=uv-8u , y=uvTo find : Find the Jacobian ∂x,y∂u,v for the indicated change of…

Q: 18x, x=2, AOR = X-AXIS

A: Topic:- application of integration

Q: 16-1

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Q: Differentiate implicitly to find 04 0-3 O 3 3 cos(y+z) 4 cos(y+z) Əz Əy 2 given 4x + sin(3y+z).

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Q: adder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: Question 1 [ 1 a. [ Use the method of multipliers to find the extreme value(s) of f(x, y) = x² + y2…

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞, co). f₁(x)…

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Q: Suppose 150 trout are seeded into a lake. Absent constraint, their population will grow by 35% a…

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Q: 1. Find the area of the region enclosed by the following curves: x₁ = y²2, and x₂ = y. Follow the…

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Q: x=2x+1 y -2 4 3 2 > 2

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Q: Find the radius and interval of convergence of the power series 】 (−1)” (x+3)” √2n n=1

A: This is a problem related to series and sum calculation. Please follow the procedure given below.

Q: The Normal line at the point (0, –1, 1) to the 3 surface exy - xy² + z³ = -2 is 7=y+1=² Select one:…

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Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

A: A  force 540 Newton stretches 3 meters .a mass of 45 kg  is atteched to the end of the spring and is…

Q: Let f(x) be defined by f(x) = 3x² + 5x + 2. Find f'(1). Note: Your answer (if it's not an integer)…

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Q: Q7 a) (-) lim x-0 b) (₂) 2 lim 48 3r

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Q: 1 3. How many terms of the convergent p-series k=1² must be summed to obtain an approximation that…

A: We have to find no. of terms of the convergent p series.

Q: Solve the differential equation by variation of parameters. y" + 2y' + y = et In(t) y(t) =

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Q: Find div(F x G) = V. (F x G). F(x, y, z)= i + 7xj + 8yk G(x, y, z) = xi - yj + zk

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Q: Evaluate the double integralfor, f(r, e) dA. Sketch the region R. O π/6 8 O sin(0) cos(8) dr de -5…

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Q: Find the determinant. x² -Ed 2x 5x4 W(x5, x²) = = (x²)(5x4) - (2x)(x5) The Wronskian ---Select---…

A: We need to fill in the blanks.

Q: You are making a rectangular box with a square base. Its volume must be 8 ft^3 . Find the dimensions…

A: A rectangular box with a square base. Its volume must be 8 ft3

Q: Consider the following. y 4 3 Find its foci. 2 1 -1 -2 Find an equation of the ellipse. smaller…

A: we need to find the equation for ellipse

Q: FIND THE DERIVATIVE OF THE FOLLOWING FUNCTIONS. g(x)=xnx

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Q: Find the equation of a plane passes through (1, 2, 3), (3,2,1) and (-1, -2, 2) ○ 4x - 3y + 4z = 10…

A: This question is based on finding equation of plane that passes through 3 points.

Q: If F = Pi+Qj+ Rk, prove that div (curl F) = 0

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Q: ven the vectors and w V (0,0) -5 -4 Q a) Sketch the vector 20 6 A -5 -4 -3 -2 -1 5 4 3 2 -1 V -2 -3…

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Q: What is the area of a single right trapezoid? Note: in the formulas below, • L₁ and L₂ represent the…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: We need to find y2.

Q: The population density of a city is approximated by the model f(x, y) = 2000e-0.01(x² + y²), x² + y²…

A: This is a problem related to double integration. Please follow the general procedure given below.

Q: Graph the function showing all relative extreme points and inflection points. f(x)=√√√x6 + 4 ++ 2 3…

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Q: Find the equation of the tangent line to the graph of the function f(2)=sin(7√) at the point (²,0).…

A: NOTE: Refresh your page if you can't see any equations. . the given point is  so we can take

Q: If f(x) = 4x² - 5x + 5, find f'( − 3). Use this to find the equation of the tangent line to the…

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Q: Find the general solution of the differential equation y" - 2y + y = 7et 1+t2 NOTE: Use C₁ and C₂ as…

A: Given the differential equation is y''-2y'+y = 7et1+t2

Q: Suppose that the position (a) Find the velocity at tin v(t) = 17 S (b) Find the velocity at tin

A: topic:- application  of derivatives

Q: Determine whether the integral is convergent or divergent. el/x x³ O convergent O divergent If it is…

A: We need to find that given integral is convergent or divergent.

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: Given 16y''-40y'+25y=0

Q: Which of the following is a power series representation of f(x) f(x) = Σ(-1)". n=0 8 x2n f(x) = Σ 16…

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Q: Let f be the piecewise function i. 11. f(x) = (x³ + 6x² + 8x x + 2 x 1 Sketch the graph of f. Based…

A: Solution is given below:

Q: 1. Determine whether the following series diverge or state that the Divergence Test is inconclusive.…

A: ∑k=0∞ kk+1