- If f(x) = 4x² – 20x + 21, evaluate_lim_f(8 + h) − f(8) h→0 h If an answer does not exist, enter DNE. X

Q: Find the derivative of the function. q' = 3/ 7 q=√x + 3x

A: Solution

Q: b) ay+3y=0; y(1) = 2,

A: We have to solve the given differential equation. According to our guideline we are supposed to…

Q: 23-2 y₁ Evaluate. lim f(x) x--3

A: Given query is to find indicated limit.

Q: 1. Circle the function if it is a (a) f(x) = 3x³ - 2x² + x (b) f(x) = 5x ² +5x² (c) f(x) = 2…

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Q: 49.9(0)(-77.895)

A: Question : -49.9(0)(-77.895)

Q: 2. use the variable. u for the inside express each of the following as a function. a) y (4 + ²-3) 5…

A: Concept: A function is composed when two functions, f and g, are used to create a new function, h,…

Q: Algebra An airplane's altitude declines steadily by 29,750 feet over a 14 -minute period. Find the…

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Q: 2ly² - 4y + 5x = 21 FIND Y'

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Q: In the above graph of y = f( x ), find the slope of the secant line through the points (-2, f( -2))…

A: We need to find slope of secant line.

Q: 2 Determine the equation of the line tangent to the curve y = 4x + X y = at the point (2,9).

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Q: or For the given function f(x) and numbers L, c, and e> 0, find an open interval about c on which…

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Q: Without using a calculator, compute the sine and cosine of 300∘300∘ by using the reference angle.…

A: Given angle:- θ=300°

Q: Evaluate 10 ļ 1 7ln x X dx.

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitue take…

Q: 18.) Find the derivative.

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Q: F(x)=7x1-9 and a.) f(q (1)) b. g (F(1)) c. f(g(x)) D. g (f(x)) e f ( t) g (t) g(x) = 7 (MJ.

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Q: Calculate the points of intersection of the curves y=2x-x² and Y=x² and determine the area enclosed…

A: Are of intersection can be found by solving both equations by putting value of   Y from any one…

Q: Q4/ The region between the curve y=√x, 0≤x≤4, and the x-axis is revolved about the x-axis to…

A: We need to find volume.

Q: Integrate cos x dx with limits from 0 to π/2. A. 1/2 B. 3/2 C. 1 D. 2

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Q: Q2: Use the substitution x² = sing to show that 1 √ √ ² x dx = [] 4√2TE

A: See this solution in below.

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 2+ Ⓡ C 1 2

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Q: Find an equation of the tangent plane to the given surface at the specified point. -², (3, -3, 1) 1

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Q: dy 2) Consider the equation 6xy+sin y = x. Use Implicit Differentiation to find dx The correct…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Problem 4: Find lim 818 1 -2.3 + 1 2.3.4 + ... + 1 2.(n+1).(n+2),

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Q: Find by implicit differentiation. dy dx dy = dx Vxy = x y + 38

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Q: 2. Circle the function if it is exponential, or if it is a transformation of an exponential…

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Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(x -…

A: The given function is: f(x)=y=x(x-6)2=x(x2-12x+36)=x3-12x2+36x

Q: y²-2xy +6x) dx-(x²-2xy + 2)dy=c

A:

Q: 9 sine 2770 d²0 47⁰ [(@sos 1-1) but ] + [ ₁₂ (AP) m ² ] 7

A: Given; [M(L d(theta)/dt )2] + [Mg(L-L Cos(theta))].

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for -0. (a) lim (-37x² + 192³) =…

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Q: Textbook) The diagrams below are not necessarily drawn to scale. For each pair of triangles:…

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Q: 0:0(0-¥x)+XP(46+2)

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Q: Find an equation for the line tangent to the curve y = (√x + 8)(x4 + 3) at x = 1. y =

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Q: 8. y = In ln 1+sinx 1–sinx

A: As we know that; The Chain rule: fgx'=f'gx·g'x The Quotient rule: fg'=f'·g-g'·fg2 And the common…

Q: 19.) Differentiate f(x)= (3x - 5)*(7-x) 10

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Q: 5. y = sec(In x) 7. y = tan (ln(5x))

A:

Q: 12x-8y+11=0

A: We have to choose the correct option from the given options accordingly to the given information

Q: (e) Finally, consider f along rays emanating from the origin. Note that these are given by y = mx,…

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Q: 20.) Differentiate. f(x) = +3 -2

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Q: Let A = {4, 3, 5, 7, 10, 6} B = {8, 3, 7, 1} and U be the universal set of natural numbers less than…

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 EPIC Does not exist 02 0…

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Q: Find the area of the sector of a circle with radius 17 miles formed by a central angle of 55°: what…

A: To find the area in square miles of the sector of a circle with radius 17 miles formed by a central…

Q: = Find the GS of 2xyy' + y² + tan x = = 0

A:

Q: For the function g whose graph is given below, arrange the following values in increasing order. A:…

A: Graph:-

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: To find the value of x where the tangent line yo gragh of the given equation is horizontal

Q: Find the instantaneous rate of change of the function f(x) = x3 + 8x when x = –3

A: Find the instantaneous rate of change of the function f(x) = x3 + 8x when x = –3

Q: (a) cos(0) = (b) tan(0) (C) sec (0) (d) csc (0) (e) cat (A) =

A: Topic:- trigonometry

Q: T = 7/24 31nx - secydx - 5xsin ydy=0;y (e ³) : .

A:

Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

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Q: X²y = 4+Cy FIND of.

A: The given equation is; x2y=4+cy.

Q: Show the complete solution for the problem below. (Typewritten as much as possible) Let…

A: