Use the Ay dy 1

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² Read It Need…

A: We can solve this as follows:

Q: 3x

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-3, 0,…

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Q: Find the value of x + y, if 1. 4 2. 1 3. -3 4 6 [2x 7 5 -y = [8 7 3 D

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Q: Use the rules of differentiation to find the derivative of the function. y=9x². + 7 sin x

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Q: Find A where R is the region R outside the circle and inside the V=2 Curve r= 4 Sing

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Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5…

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Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 7 dx x² + 2xy…

A: To find the solution of given differential equation in implicit form.

Q: 17 Select the conic section represented by the equation. 4x 2 -y 2 + 24x + 4y + 28 = 0. circle…

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Q: limx→→∞ √1-x+2x+7 2 9x +5 - 3x

A: limit.

Q: 4. Find the Taylor series for f(x) centered at the given value of a. [Assume that has a power series…

A: First we will find expansion using general formula and then put the value .

Q: Find the curvature and the radius of curvature at the stated point. ㅠ r(t)=10cos(t)i+11sin(t)j+9tk;…

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Q: Ex. (9) Sol:- Solve 3y"-2y'+y= 4x+2

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Q: Find the critical numbers of the function F(x) = x/5(x - 9)²

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Q: 5 If [F(x) dx f(x) dx = 7.4 and 1.°F(x) dx f(x) dx = 5.7, find [²1 f(x) dx.

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Q: Find the derivative of the function by the limit process. g(t) = t³ +7t g'(t) =

A: We have to find derivative

Q: A factory operating at maximum capacity can produce 25 fuzzles in one day. The cost of producing a…

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Q: 1) fx-²dx 2) sin(n)dx

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Q: Part a) Plot the point given in polar coordinates. (-3, 2pi/3) Part b) Find three additional polar…

A: answer is in next step

Q: lim 1-3 (r-3) tan(9-x²) sin²(2x - 6)

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Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or…

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Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

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Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

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Q: Given: function f(x) with dom f = R \ {-1} lim f(x) = 00, lim f(x) =+ ∞, lim [f(x)-(1- x)] = 0, x→-1…

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Q: Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that…

A: We have to find the probability.

Q: Find fa, fy, and fz. f(x, y, z) = 5z ln(x³y³ cos(z)) fx = fy fz f₂ = =

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Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact…

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Q: 31. (a) 32. (a) 33. (a) 34. (a) ₁12x-11dx • S²₁₂ √2+ |x|dx 2+ |x| L₁ let |e* - 1|dx *) ₁²³-1-15|dx +…

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Q: 1. F = cos y i+ xyj + yk, A B C D E F О н A. i+j+(y-siny)k B. i+ (siny - y)k C. j (2y-siny)k D. 3i -…

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Q: Find the limit, if it exists. lim 5x+4 x 7x-6 Need Help? Read It Master It

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Q: Find the limit. lim → 2 (1 i=4j+ 1² k) i. lim 1-2(ti-4 j+¹² k) = + j+ k

A: evaluate the limit component wise

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1 + ²/ 1. lim x12x² + x1

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Q: Integrating Factor by Inspection: 5. (xy-2y²)dx - (x²-3xy)dy = 0

A: (xy-2y2)dx-(x2-3xy) dy=0x(y dx-x dy)-2y2 dx +3xy dy=0dividing by xy2;(ydx-x dy)y2-2x dx +3y…

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: D4 − 1)y = 0 -

A: Topic:- solution of differential equations

Q: Ex. (8) Sol Solve [D²-6D+9] y = 54x+18

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Q: Consider the vector Field 7 and the curve C below. F(x,y) = (3 +4 ху?) 1 + 4x²yј, C is the arc of…

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Q: ست مارت منطقه مصرف سرت

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Q: II. Find Do not simplify your answers. dr 1. log,(√2x² + y) + tan(x² − z³) = sin¯¹(x² − 1) + −

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Q: Evaluate the definite integral 05/dx. Give an exact, completely simplified 0.5_6x² answer. Hint:…

A: Use  substitution method for solving integral.

Q: N. – My If = R, where R is a function depending only on the quantity z = xy, then the differential…

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Q: How many different 8-digit phone numbers do not contain the digit 6? Assume that any digit in the…

A: To determine how many different 8‐digit phone numbers do not contain the digit 6. Assume that any…

Q: Question 3. Find the maximum revenue that demand equation is given by q = can be realized by selling…

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Q: Find all solutions of the equation in the interval [0, 27). (Enter your answers as a comma-separated…

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Q: Consider the function f with the following properties: f is continuous everywhere except at x = 2…

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Q: Find the centroid of the given region. (A) (5,15) (B) (3/22,45/61) (C) (5/14,38/35) (8/23,76/111)…

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Q: 8. The position function of an object is defined as: s(t)= t³-t²- 8t Find the minimum velocity of…

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a…

Q: Definite Integral and Plane Areas by integration (snow solution) dx + So - 2 1+x 2. S dx 25-x2 = 1/2…

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Q: 3. Fxz²i + (1 − 3xy)j + yzk, - A. xyi + 2yzj - 3yk B. zi + 2xzj - 3yk VXF=

A: Given vector field F=xz2 i+(1-3xy)j+yz k