50) Find the equation of the line tangent to f(x)=3x² -5x+8 at x = 2. Answer in slope-intercept form.

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A: Linear diffential equation

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A: Please refer to the image below

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Q: Find the particular solution of dy = cos 3x where y = π when x = 0. dx sin 2y 4

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A: Given query is to find the derivative.

Q: Find the given limit. lim x-5 lim X--5 (-x²+3x-7) (-x² + 3x-7)= (Simplify your answer.)

A: Topic = Limits

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A: Topic = Function

Q: Så ta de dx X ) n = 10

A: We have to find out the area of using the trapezoidal rule.

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A: here we have to find the unit vector.

Q: In Exercises 1–6, use Eq. (1), to estimate Aƒ = ƒ(3.02) — ƒ(3) 1. f(x) = x² 2. f(x) = xª

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Q: consider the function f(x) = x ln x. out of all the many tangent lines of f(x), determine the one…

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Q: Find y' implicitly if 5y² + In(x + y) = x²

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Q: Evaluate the integral. (Use C for the constant of integration.) [ (in(x))² dx Need Help? Read It…

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Q: Using all three conditions of continuity, determine if the following functions are continuous at x =…

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Q: Let f(x) = 2x² + 2x + 7 f'(x) = 0 f'(25) = X Find the following:

A: Given:   To determine: f'(x) and f'(25)

Q: A sign in a bakery gives these options: 12 cupcakes for $29 24 cupcakes for $56 50…

A: option A is 12 cupcakes for $29option B is 24 cupcakes for $56option C is 50 cupcakes for $129

Q: Write an equation for the polynomial graphed below + -5 -4 -3 -2 Z 6 + 5 + 4- 3 2 7 بنا -4 ++ ++ -5.…

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Q: 18. Find the extreme values of f(x) = 2x³ - 9x² + 12x on [0, 3] and [0, 2].

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Q: A moviny particle starts ✓ (0) = (0,0,07 with Its acceleration is Find its velocity and at initial…

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Q: Find the distance between the planes 2x + 5y + 4z = 7 and 2x + 5y + 4z = = Question Help: Video 10.

A: We know that the distance between two parallel planes:ax+by+cz+d1=0andax+by+cz+d2=0 is given…

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Q: Population Growth A major corporation is building a 4,325 acre complex of homes, offices, stores,…

A: p(t)=45t2+125t+100t2+6t+50given p(t) is in thousands

Q: G(x,y)= (x+3y) / (x^2 - y^2 ) Sketch the domain

A: G(x,y) = x + 3yx2 - y2 The denominator cannot be zero. Therefore, x2 - y2 ≠ 0(x+y)(x-y) ≠ 0x ≠ -yx ≠…

Q: a. Sketch and/or carefully describe the graphs of the following surfaces in 3 dimensions (R³): i. x…

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Q: Write an equation for the polynomial graphed below + -5 3 -2 -1 6+ 5+ A 32 2+ 1+ -1 + -2- -3 -4 -5-…

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Q: When a college won the badminton championship, the Student Congress sold championship memorabilia.…

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Q: Bill Casler bought a $2000, 9-month certificate of deposit (CD) that would earn 9.2% annual simple…

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Q: Evaluate 00 O 1/2 O 1/4 1 S'islar. -1

A: S=∫-11xdx

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A: We will use the concept of Reiman Sum to find the solution of this problem.

Q: Given c = and ƒ = , find č + f. c+ f = <

A: As we know that, If the given vectors are a→=a1,b1 and b→=a2, b2 then sum of these two vectors will…

Q: Using all three conditions of continuity, determine if the following functions are continuous at x =…

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Q: 2 Mr. Gonzalez is designing a planter box shaped like a rectangular prism. The height of the box is…

A: Volume of rectangular prism(V) =l×w×hwhereV=volumel=lengthw=widthh=height   Volume of rectangular…

Q: if S* (x) dx=4 and f(x) dx = - If 0 [°ƒ(x) dx = − 1, evaluate [*ƒ(x) dx . 3 2 4 O 3 O 5

A: Property of definite integral∫a bf(x)dx=∫a cf(x)dx+∫c bf(x)dxGiven that∫0 3f(x)dx=4, ∫36f(x)dx=-1,…

Q: differentiate: squreroot 271/e^16

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Q: Let f(x) = 6 + ƒ'(x) = Find f¹(5). f'(5) = 2 - X + 5 x² . Find f'(x).

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Q: Maximize P= 3x + 3y Subject to 2x+y ≤ 10 x+2y ≤ 8 x, y 20 C What is the maximum value of P? OA. P=…

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Q: point (-3, -6) by using the following parameters. (1) The tangent line to the curve y = f(x) at the…

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Q: Consider the initial value problem 2ty' = 8y, y(-1) = 2. a. Find the value of the constant C and the…

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Q: Use the graph of the function f(x) below to find the following limits. Find lim f(x) x→ 1 OA. 2 OB.…

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Q: 14r2 725 – 2 dx

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Q: 5. (x5 + 3y)dx - xdy = 0

A: The given differential equation is;  (x5+3y)dx-xdy=0.

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Q: (c) Without using induction, prove that, for every positive integer n, Σ+1 (0) - 0 = 0.

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Q: Find the area of the region R bounded by x-=y² and x = 2 - y2

A: Given curves:- x=y2 ,x=2-y2