(x, y) = x(x + y)

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

A: Using derivative

Q: Show that the lines L₁ : x = 4-t, y = 2t, z = 1+ t and L₂ : x = 1 + 2t, y = 3 - 4t, z = 5 – 2t are…

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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: The daily total cost(in dollars) incurred by Nando’s for producing q cases of PERi-PERi sauce is…

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Q: d³y_d²y_dy + y = 0 dx³ dx² dx

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: y = x² + 2 Δy = dy= Need Help? x = -3 Read It Ax dx = 0.01 Watch It (Round your answers to four…

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Q: VI. Suppose f is continuous everywhere, f' is differentiable everywhere except at x = -1, and the…

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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

Q: Which of the following is the derivative of (x³ + 1)(x² + 2x)? 3x²(x² + 2x) + (x³ + 1)(2x + 2) 3x²…

A: This question is based on product rule of differentiation.

Q: Monique sells disposable protective face masks made of local textiles for P 12.00 each. Define a…

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Q: integral x²y dx - xy²dy where C: is the circle x² + y

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Q: 7. Find the slope of the tangent to the parametric curve x = t - lnt, y = t + lnt at the point (e +…

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Q: Prove the identity. sec²x+csc²x = sec²x csc ²x Note that each Statement must be based on a Rule…

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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: the type of conic section whose equation is giv x² - 2x + 2y² - 20y + 49 = 0 rabola ipse perbola…

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Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

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Q: Determine the convergence or divergence of a series whose nth term is given by 1 (d) n> 10. (e) n(In…

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Q: Find the curvature and the radius of curvature at the stated point. π r(t) = 10…

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Q: Evaluate the following limits. USE OF L'HOPITAL'S RULE IS NOT ALLOWED. 3. lim (x-3) tan(9-x²) sin²…

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Q: ست مارت منطقه مصرف سرت

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Q: 6- Write four examples about sketch the graph in polar coordinates from families of cardiod and…

A: Let's find.

Q: Prove the identity. COS X 1-sin x 1+ sin x COS X Note that each Statement must be based on a Rule…

A: Solution )  cos x / ( 1 - sin x ) Multiply cos x in numerator and denominator =cos x × cos x /  […

Q: 5. Find the work done by F = (x² + y)i + (y² + x)j + ze²k over the following paths from (1, 0, 0) to…

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Q: 10 (1 - 6x)² convergence R Represent the function Co= C1 = C2 = C3 C4 = Find the radius of || as a…

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Q: Find the domain and range of the function graphed below. 5+ 3 -5 -4 -3 2 1 2 3 4 5 Domain: Range: ON…

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Q: Find R and the Interval of Convergence o (-1)" (x)" 272

A: Given problem:-

Q: Use the Ay dy 1

A: Use the information to find and compare ∆y and dy .     y=x4+2 , x=-3  and  ∆x=dx=0.01

Q: area enclosed by enclosed by the Curve Find the X = 2y² and x = 8

A: This question is based on application of integration.

Q: Find all solutions to the equation. csc 0-√2=0 Write your answer in radians in terms of , and use…

A: As we know that; The general solution of the trigonometric equation sinθ=sinα is; θ=kπ+-1kα,  where…

Q: (a) Find the acceleration of the body each time the velocity is zero. Enter your answer as a list if…

A: Follow the procedure given below.

Q: f(x) = ((3x + 7) if x ≤ 4 ax-1 if x > 4

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Q: Find the derivative of the function. f(t) = (9t+ 9)2/3 f"(t): =

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Q: I sold something on ebay and I go to the UPS store to ship the package. The cost for the box is $3,…

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Q: dx 3xy 10. Find for xy = In (cos x + sin y) by using implicit differenti dx 1. Find dx for y³ + 4x…

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Q: Find two positive integers such that the sum of the first number and four times the second number is…

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Q: Find the point on the curve y=x³ at which the tangent is parallel to the tangent at the point on the…

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Q: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where

A: We have to apply simple mathematics logic to solve the problem

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

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Q: Find the magnitude of the given vector. (-4, 4, 7)

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Q: For the function f(x) shown below, determine lim lim f(x). x→ x² - 9 for x > -3 f(x) = { -5x - 9 for…

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Q: Applying the ratio test to the series ∞ 5k-1 k=1 (k+ 1)².4k ³ you would compute ak+1 lim = ak Hence…

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: Let's find.

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

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Q: (D² - 1)y 2 1+ex

A: In this question we have to find the solution of the differential equation.

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

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Q: Suppose you deposit $1000 at 7% interest compounded continuously. Find the average value of your…

A: To find out the average value of account during first 4 years.

Q: Consider the function y=x³ - 9x + 4. a. Sketch the graph of y= x³ – 9x + 4. b. Find and describe the…

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Q: Evaluate the following limits. USE OF L'HOPITAL'S RULE IS NOT ALLOWED. log₁ (x+3) lim x →1 -1 1-cosh…

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Q: Find sin (θ) given that cos (θ) = 1/5 and θ is in quadrant IV.

A: Given that  cosθ = 15 and θ is in quadrant IV. We have to find the value of  sinθ.