Question 19 Find the equation of the tangent line to the curve at the point (0, 0). Oz+y=1 O-x+y=0 Ox+y=0 Ox+y=1 < Previous x²y² - xy + x−y=0

Q: f(x, y) = 75 + 8x+5 Find fx, fxy, and fxyx. 8x³ e-8y

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Q: a. b. dx x+2x³ In S is Inx In 2x² + 1| + C X C √ √2x² + 1 + ₁ C. d. In|2x² + 1 1 + C In x + In|2x² +…

A: Given problem:-

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Q: P₁: -60x + 90y + 120z = 29 P₂: 4x - 6y - 8z = 5 P3: -20x + 30y + 40z = 4 P4: 12x18y + 24z = 9

A: Follow the procedure given below.

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Q: f(x) = log(x)+x g(x)=In(x-1)+7 X -10 (1.002.1.004) (8.047,8.953)

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

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Q: Given: S dx x+2x3

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A: Solution ) to find the point p (x - 3)/4 = (y + 1)/2 = z + 4  = 0 (x - 3) /4 = 0   ,   (y + 1) /2  =…

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Q: In Exercises 19-24, match the parametric equations with the paramet- ric curves labeled A through F.…

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Q: Find the general solution of the differential equation. y"" — 17y" +82y' — 120y = 0. NOTE: Use C₁,…

A: Here we have to solve the differential equation.

Q: What is the slope of the tangent line to the graph of x^2 - xy + 3y^2 -2x + 4y = 17 at (5,1)

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Q: Problem 1 Let = (1,2,3), 7=(2, 2, -1), and =(4,0,-4). Find 27+ 4-w. Problem 2 Let = (1, 2) and =…

A: To express vector v as a linear combination of u and w.

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A: The given problem is solved below in detail.

Q: 1. (x³y³ + x²y² + xy + 1)ydx + (x³y³ – x²y² - xy + 1)x dy = 0

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Q: (x¹+y¹) dx - xy³ dy = 0 [Answer: y = 4x¹logx + Cx¹]

A: This question is based on Homogeneous differential equation.

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A: The given differential equation is;  Cosx dx +(1+2/y Sinx) dy=0

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Q: 1) [2 Consider the DE: 15x²y + 3x³y - 24y = 0. A) Solve the given differential equation by…

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Q: E A4 sin (e-² + ln z) + C 4 sin (-e-²) + C B O A § 4 (½ − e¯²) cos (e¯² + Inz) dz B E None of the…

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Q: Given f (x) = 4x²-3x + 2. The slope of the normal line to this curve at the point (1,3) is O-5 5…

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Q: 2 84 +81 √ s(3² +9)²0 ds

A: 2. Given Integral,∫s4 + 81ss2 + 92 ds

Q: The range of the function f(x, y) [1/3, +00[ This option None of these This option ]- 00, 1/3]…

A: Here, the given function is: f(x,y)=13+x2+y2

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Q: 4. (xy² + 2x²y³) dx + (x²y - x³y²) dy = 0

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Q: ollars) t months from now are given by S(t) = 0.05t3 +0.71² + 2t + 5. es). 5. ...

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Q: Fill in the blank to complete the trigonometric identity. so(-u)- sec = X

A: This question is based on Trigonometric identity.

Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

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Q: Evaluate the integral using the following values. [³x³ dx = [²x dx x³ dx = 1,020, Lºx dx = 30, [³dx…

A: use the property of definite integral.

Q: Write the system of equations 3x 2y4z = -3 5x + 5y + 4z = 1 - 4x + 5y + 4z = 3 as a matrix equation,…

A: Given: equations: 3x-2y-4z=-35x+5y+4z=1-4x+5y+4z=3matrix equation is AX=BA[xyz]=Bwe can write the…

Q: Which of the following functions is not continuous on (-∞0,00)? Py = |x-1| ° y = y = 1- O y = 1+²²…

A: Functions are given, we have to find the function that is not continuous on -∞,∞

Q: olve the given differential equation. All solutions should be found. dy x - 2y dx X

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Q: Find the value of the limit lim 01 0 0 O DNE x3 x+0 x³ + x2 < Previous

A: On solving this we will get

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Q: Use Leibniz's rule to find dy dx dy dx for y= 8x-1 √ (t4-5) dt.

A: Concept: Newton Leibniz Theorem : Newton Leibniz A formula for differentiating a definite integral…

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Q: Find for y = dx dx X [11tªdt. 0

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Q: Use implicit differentiation to find dy given y³2 – log(x²y¹) = cos¯¹(1). dx

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Q: Please help me understand and the steps taken in the process. Thank you Given Find the following. a)…

A: Given: fx,y=x3y2-3xyWe need to find a) fxb) fy

Q: 3. Evaluate tan¹x² 1+xº dx

A: dtan-1(x)dx=11+x2

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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