Find the equation of the tangent line to the curvey = √2-4 at the point (5, 1). Oy=2-1 Oy= 22-2 Ov=z Ov=-1

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Q: 9 ▪C (1) = 5 + 77 + 71 1 10 13

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Q: Please

A: We will solve the problem.

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A: Here, to find the parametric equation of the paraboloid x2+4y2-z=0 and the plane 2x-z=0

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A: Graph of the function÷

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Q: Consider how we can evaluate this integral using u-substitution: x S dx. √2x+1 If we let u = 2x+1,…

A: This question can be solved by integration by substitution.

Q: Use the limit definition of the derivative to find the instantaneous rate of change o ƒ(x) = 5x² +…

A: We have to find rate of change

Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

A: The equation of the curves are given by C1: y-x2=-3 ⇒y = x2-3 C2: x+y=3 ⇒y=3-x To evaluate: The…

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A: Given: y=x2+5 Graph of the functions given are

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Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B = if you already…

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Q: f(x)=8x¹-7x³+2 on [−2,1]

A: To compute the average value of the given function f(x)=8x4-7x3+2 on [-2, 1]

Q: Using Pappus Theorem, find the volume formed by revolving about the x-axis the area bounded in the…

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Q: u = xz siny + yz cosx + xy tanz

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Q: · ƒ³3(x + 1)(x + 2)²(x² −1)dx with and without the even-odd theorems (show both solutions).

A: Solution :Without odd-even…

Q: Given x = y³+2y — In(y + 1), find the arc length for 0 ≤ y ≤ 3 B

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Q: The gradient of the tangent to the curve y=-3x³ + 4ax² - 5x + 4 at x = 1 is 2. The value of a is 2.…

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Q: Find the area bounded by the parabolas (x - 2)² - 9py = 0 and y² = 9p(x - 2).

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Q: I co cos³ x sin x dx

A: Given problem:- ∫cos3(x) sin(x) dx

Q: 5. Calculate the sum of the first 23 terms of the sequence defined below. tn 10+ 3n, n E N

A: We have to find the sum

Q: Solve ²₂(x + 1)(x + 2)²(x² − 1)dx with and without the even-odd theorems (show both solutions).

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Q: 10.1.16 Question Help w a Given parametric equations and parameter intervals for the motion of a…

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Q: draw and identify the graph of the following surfaces a. z = √9-y²

A: Given

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A: Let's solve given integral.

Q: find the inverse Laplace Transform of the functions     a.) 5/3s b.)14/((3s+2)(s-4))

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: P N

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Q: Which derivative rule is used to derive the Integration by Parts formula? A. The Integration by…

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Q: Let The coefficient of x' in the Maclaurin series for f(x) is: Answer f(x)=9e2x-x.

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Q: For the following exercises, find aj dt and direct substitution. 226. f(x, y) = x¹, x=t, y=t using…

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Q: 3. The region bounded by the curve y=sec x, the x axis, the y axis and the line x=0.25pi is revolved…

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Q: 6. If f is continuous and f² f(x) dx = 6, evaluate S/² f (2 sin 0) cos de.

A: see below the answer and calculation

Q: y = (x² + 2)(x-3)

A: The objective is to find the derivative.

Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: 2. Determine parametric equations of the line that.... 4 a) passes through (-9,8) with slope - 5 b)…

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Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

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Q: 25. Which of the following value of x is continuous of the function f(x)=√4x²? A. 2 C. 4 B. 3 D. 5

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Q: Ji 16 sin² x cos² x dx dx B

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Q: cos 3x cos 4x dx

A: ∫cos3xcos4xdx here we use formula  2cosxcosy = cos(x+y) +cos(x-y) here x = 4x      y = 3x

Q: 1- Find the inverse of 2=2-51.

A:

Q: (B) Find equations of the tangent and the normal lines to the curve y-exy = sinh x² +ln(x+√y point…

A: Given the curve y-exy=sinhx2+lnx+y at the point P0,1

Q: line l: x = = and point P(1,0,1). ● Find the set of parametric equations of the line parallel to…

A: Both questions are solved.

Q: T/6 3 coss 3x dx

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Q: If f(x) = 10, find f'(-1).

A: Given f(x)=10,  to find f'(-1) Formula used Differentiation of a constant value is zero d (constant)…

Q: i can't understand your solution

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Q: Solve the first order linear ordinary differential equation x sin x dy dx + (sin x + x cos x) y =…

A: Here, the given DE can be written as: xsin xdydx+(sin x+x cos x)y=xex⇒dydx+sin x+x cos xxsin…

Q: Find the area bounded by the parabolas (x - 1)² = 4ay and y² + 4a = 4ax.

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Q: Calculate the average rate of change for the function f(x) = − x² + 3x + 4 intencal-1<x<3

A: We can find the average rate of change as below

Q: N|- x² Given: quadric surface S with equation (y - 3)2 - 2 (a) Determine and identify the traces of…

A: Quadratic surface S with equation y-32-x22-z22=1