4. G(x) = n x3.4 -5me + p 5. F(x) = ax³ bx² + cx - d 6. f(x) = (3x + 1) (2x7 - x + 2)

Q: 2 11. S ² | x - √x |dx 0

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Q: modeled by the following function. f(t)= 40t +100 220 -80t+860 60 a. 7 am if 0≤t≤3 if 3<t≤8 if…

A: Topic:- function

Q: Directions: Consider the following function f(x). Part 1 - Difference Quotient That is: If h = 0,…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Question 10 Powermakz Telephone Co. charges P7.50 per minute for the first 5 minutes of local…

A: Given :Charges for first 5 minutes = P 7.50Charges after 5 minutes = P 0.12

Q: Let f(x, y) = (- (x + y))³. Then = 82f дхду ә3f дхдудх 83f дх2ду ||

A: Given, f(x,y)=-x+y5

Q: 1. (2xy-3x²) dx + (x² + 2y) dy = 0

A: Given 2xy-3x2dx+x2+2ydy=0

Q: If z = (x + y)e" and x = u² + v² and y = u² — v², find the following partial derivatives using the…

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Q: Write the function, y = |x| after the following transformations: 1) Reflect the function about the…

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Q: Find the first partial derivatives of (Z). 4x f(x, y, z) = Caution: ay/bx and ay/(bx) are very…

A: Given partial derivative, zx,y,z=z.arctan-y4x

Q: Finding the Domain and Range of a Function: f(x) = 2+4 Domain: all x 2 Range: all y-1 Domain: all x…

A: Solve for domain and range

Q: Using the limit-ratio test, showt that a) 3n+2 lg n+1 = 0(2¹gn) b) 2 = (n² + 2n)

A: The following results will be used for the given asymptotic relations will be used: Consider two…

Q: 2x-1 1. At what point/s will the tangent/s to the curve y=- 2x+1 be parallel to the line y-4x+3=0?

A: line  y - 4x +3 = 0   find slope

Q: A railroad bridge in one city has a low clearance for trucks. An engineer standing 23 ft away…

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Q: Find an equation for the given polar graph. NOTE: Numeric label on this graph represents distance…

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Q: 2. Find the Inverse Laplace Transform of the following: L-1 {2+35+13) a.

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Q: Let f(x) = x3 - x2- 3х+1 Explain clearly the reason why f has a zero in [0,1]. Do not find the…

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Q: Q1. Find Domain and Range of у sin(x)

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Q: 5) For the function f(x)=3√2(x-5)+8 , state the domain and range of f(x) and f'(x).

A: Let's find domain and range of given function.

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y=(2+x)2(1-x)3

Q: Find given the set of parametric equations dy dx x = csc² (at) and y = cot(at), (a) — cot(at) 1 (c)…

A: The objective of the question is determine derivative by help of parametric equations.

Q: 1.  Given the function y = x⁴-2x²: DETERMINE THE MAXIMUM POINTS,  MINIMUM POINTS, AND INFLECTION…

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Q: ว | 2 dx น x-9

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Q: Question 1 Finding the limit: lim, 3 이를 O ㅇ 티 25 O 35 D 37 Vx+6 2+2:

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Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = = 4. 44 x+y+z-35 =…

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Q: Match the point 9, nt (9. - 5) 4 O B O Зл 4 c(9.-) O In polar coordinates to the point A, B, C, or…

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Q: Find the distance between the skew lines =(4,-2,-1)+1(1,4,-3) and F=(7,-18,2)+u(-3,2,-5).

A: Given lines:- l1:r→=4,-2,-1+t1,4,-3 l2:r→=7,-18,2+u-3,2,-5

Q: A right circular cone with radius r and slant height I has surface area given by A = r² + nrl. When…

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Q: PROBLEMS A. HE POSTED F(x) = x² +3 X a) Solve wing quotient rule. b) manipulate the function…

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Q: Find the intersection of the line / and the plane T. 1:ř=(4,-1,4)+t(5,-2,3) T: 2x+5y+z+2=0

A: Given line, r=(4i-j+4k)+t(5i-2j+3k)               (1)And plane ,2x+5y+z+2=0…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: V = ∫πy2dx here y = 12-x limit from -4 to 12

Q: Finding the Domain and Range of a Function: f(x)=√x² – 3x + 2. O Domain: all x ±4 Domain: all x ±2…

A: Given :fx=x2-3x+2

Q: The derivative of f(x)=(3x^1/2+x+x^−4)(5x^−2/3−6x^5/7) is f′(x)=

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: (x - y - 1) dx - (4y + x) dy = 0 Give the: a. homogeneity b. degree c. reducible homogeneous…

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Q: 6. The following table gives values of two new functions f(x) and g(x). Use the table to find the…

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Q: Solve and show all the steps in the Application of the Differential Equations 1.) Newton's Law of…

A: Given:   The DE for Newton's Law of cooling/Warming is         dTdt=kT-Tm        dTT-Tm=kdt…

Q: Find 원 when ax + cos(by) = c, where a, b and c are constants. b (a) —-cscy (c)csc(by) b (b) -…

A:

Q: Let f(x) = 4√ If g(x) is the graph of f(x) shifted up 2 units and left 4 units, write a formula for…

A: find the equation of g(x)

Q: If f ( x ) is a linear function, f ( − 2 ) = 0 , and f ( 3 ) = 2 , find an equation for f ( x )

A: We have, f-2 = 0f3 = 2 To determine: The expression of fx if it is a linear function.

Q: Find dx 1 (a) COS (b) (c) when y = sin(loga (bx + c)), where a, b, and c are constants. b In a (bx +…

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Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B)SOLUTION C) ANSWER D) WITH EXPLANATION

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Q: Solve

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Q: if f(x)=-(sqrt(81-x^2)) find the domain and range answer in interval notation

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Q: Let f(x, y) = (- (x+y))³. Then 02f ?х у ә3f дхдудх ә3f дх2 ду о

A: This question can be solved by the concept of partial derivatives.

Q: Find the derivative of f(x) = -5x4+7-2x² a.) f'(x) = -20x³-4x-7-2x² b.) f'(x) = -20x³-4x-7-2x² In7…

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Q: Write the function, y = |x| after the following transformations: 1) Reflect the function about the…

A: write the function after the transformation

Q: Find the values that satisfy each variable through the Gaussian or Gaussian Jordan Elimination…

A: We have to find the values using Gaussian or Gauss Jordan Elimination Method.

Q: (Initial Value Problems) Solve the following initial value problems: dN (a) d = t-, t≥ 0, N (0) = 60…

A: Given IVP   is dNdt=t-13         t≥0 , N(0)=60

Q: 6- 5 2- 1 1 2 3 Based on the graph above, estimate to one decimal place the average rate of change…

A: As we know  Average rate of change of function fx in interval a,b=fb-fab-a