Find an equation of the plane that passes through the point P(4, 5, 3) and has the vector n = (1, 8, 6) as a normal. O x + 8y + 6z + 62 = 0 O 4x + 5y + 3z – 62 = 0 O x+ 8y + 6z – 62 = 0 O x+ 8y + 6z = 0 O 4x + 5y + 3z + 62 = 0

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A: Given: fx=12-3sinx To find: ∫f(x)dx We know that, sinx = 2tanx21+tan2x2

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A: We can solve this as follows:

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A: This question can be solved using the concept of root test.

Q: E) INTEGRAL : 9.) S(5t3 + 2t? – 5t – 50)dt 10.) S(3x2 + 2x + 500)dx

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Q: has side lengths 8, 15, and 17 as shown below. hs to find cos B, tan B, and sin B. A 15 17 C AB 8.

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Q: 7. y = y5 +6y* +35x³ –5x² –100 8) y= /2x

A: We have to find the 3rd derivative of given functions.

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Q: Integral

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Q: + inf 1 Σ п2 — Зп + 2 n=3 W

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Q: (-1)" Given: power series > (x + 1)" 2n2 +5 n=1 Find the interval of convergence of the power…

A: To find the radius of convergence we will find first limn→∞an+1anthen equate it to less than 1

Q: (Basic Differentiation Rules Basic Calculus) Kindly answer 1-3 and show complete solution. thank…

A: Formula:ddx(a f(x))=a  ddxf(x)ddx(xn)=n xn-11)f(x)=10 x10f'(x)=10 ddx x10f'(x)=10 10 x10-1f'(x)=100…

Q: A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 5. (2D* – 3D3 - 2D²)y = 0

A: According to Bartleby guidelines I can only answer the first question of the given two questions.…

Q: I. Evaluate the following integrals. 1 . J <(9 – In² r}5/2 d.x x(9 – In² x)5/2'

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A: The solution is given in the next step.

Q: Find the sum of the convergent series. +0 | 3n+1 6n-1 n=0

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A: Shaded area is the required area

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: Find the derivative of f (x) = 4x-10x2+ 8x-2

A: To solve the following problem

Q: 1. Evaluatef(3x + 2)dx A. 3x2+2x + C B. 2x + 2x +C c. 2+2x + C D. x² + 2x + C

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

Q: Consider the function f(x, y): 5xy 2x2 + y? (a) State the domain of f(x, y). (b) Find the limit 5xy…

A: f(x, y)=5xy2x2+y2A)Domain f(x, y)The function is defined everywhere.Domain: (x, y) ∈ (R×R)

Q: Suppose you decide to wait 5 years to save up before buying the house.  You are able to put a down…

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A: We need to find polar equation.

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A: Given

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Q: 9– 4x2 Evaluate: 4.x2 + 2 sin () +C A 6/ f (x) = 9-4x2 - 2.x sin () + C B f (x) = - -1 ( 2r 9-4x2+2x…

A: here we do integration using parts ∫ fg' = fg -∫f'g f = 9-4x2 g' = 1/x2 f' = -4x/9-4x2 g = -1/x ∫…

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A: We have to find expected observations for this table and chi-square test-statistic.

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Q: Write the partial fraction decomposition of the rational expression. Check your result…

A: For the repeated roots;the fractional decomposition can be writtenas:3x(x-3)2=A(x-3)+B(x-3)2A(x-3)+B…

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Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

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Q: Each of the regions A, B, and C enclosed by the graph of f and the x-axis has area 6. Find the value…

A: Answer and explanation is given below...

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A: We have to find the root using Bisection method.

Q: 8 2 1. Reverse order, then integrate Sr) dydx.

A: Given:    Intergral is given

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Q: Question For the function given below, which statements concerning Rolle's theorem are true? 4x + 3…

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Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: x+y Q3) Evaluate triple integral S dz dx dy. x-y

A: To evaluate the triple integral ∫02∫0y∫x-yx+ydz dx dy.

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 cos (- 0) in…

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Q: +0 (2х — 1)" n V4n + 1 n=0

A: