EXAMPLES 10. Find the DE of the family of SL with algebraic sum of intercepts fixed as

Q: f(x)-f(a) x-a a. Use the definition mtan = lim x→a a. mtan to find the slope of the line tangent to…

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Q: Evaluate lim X→-2 x²-x-6 x-2

A: We can find the limit of the function.

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: Part 1: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

A: Concept: A circle is a collection of all points in a plane that are uniformly distanced from a fixed…

Q: Let 8(t) = 8+³ + 36t² + 48t be the equation of motion for a particle. Find a function for the…

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Q: (√9x²–5x+1+3x). Evaluate_lim (√97²

A: Here we have to use the concept of the limits. I have appended formula used in the solution part

Q: Write an equation of the line containing the given point and parallel to the given line. Express…

A: Let's find new equation of line.

Q: Exercise 1 Find the differential equations of the following by eliminating the arbitrary constants:…

A: I am attaching image so that you understand each and every step.

Q: 1. S. dx 1 2 x² e² ex

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Q: Use the four-step process to find f'(x) and then find f'(2), f'(3), and f'(6). f(x) = 2x² - 9x+10…

A: Solution is given by

Q: Find the differential equation of families of straight lines with slope and x - intercept equal. a.…

A: To find differential equation with given conditions.

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point…

A: Given fx, y, z=xy+yz+zx Point P0=1, -1, 2 Equation of the line is x-310=y-211=1-z2

Q: Find a cubic function y = ax^3 + bx^2 + cx + d whose graph has horizontal tangents at the points…

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Q: Find the domain of the function: f(x) = log4 (4-3x)

A: To find: The domain of the function: f(x)=log4(4-3x)

Q: Average cost.  Tongue-Tied Sauces, Inc., finds that the cost, in dollars, of producing x bottles of…

A: Cost function C(x) = 375+ 0.75x^(3/4) Then find the rate at which average cost is changing?

Q: w!! [[x-h]] +xh X> -4° x² + 3x-4 Will [[x-h]] + xh X>-4² x²+3x-4

A: I am attaching image so that you understand each and every step.

Q: If g(x) = sin(x) then g'(x) = = g'(5) =

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Q: ) = (x + 3) can be expressed in the form f(g(x)) where f(x)

A: We have to find the function g(x) according to the given information

Q: 3x³y² +y dy 3y3x2-5x4 dx 2.) + = 0

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Q: The marginal revenue from selling x cameras is 95 -0.2x dollars per camera. Find the revenue…

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Q: Solve the Differential equation In x A 비 dy by separating the variables.

A: The given differential equation is: ln xdxdy=xy

Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁=3 and x₂ = 5. b.…

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Q: How would the triangle be drawn for this problem ?

A: Given: In a baseball field, a drone is flying directly between the first and second base. Distance…

Q: Graph f(x) using the graphing utility. f(x) = y -0.5- 2 + C x powered by desmos What are the…

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Q: State the number of complex roots of each equation. Then find the roots and graph the related…

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Q: 9. y = (1 + x²) Arctan x 10. y = sin(Arccos x)

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Q: Find for the following function. dy dx y = 11 2 cos x 1 – sin x

A: The given function is; y=2 cosx/(1-sinx).

Q: Use Secant method to find the solution of e-2 – – sin r + 2 = 0 accurate to within 10-5. Take po =…

A: The given equation is e-2x-x-sinx+2=0 and initial conditions are:p0=0.5 ,p1=1.0 The formula of…

Q: е 3. S d 5√x é √x eve

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Q: sin cos 0 cos sin

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Q: Solve the given linear differential equation. Use C as the constant of integration in your solution.…

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Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

A: Since, you have posted a question with multiple sub-parts, as per company policy we will solve first…

Q: Consider the following. = a₁ 6₁ an + 1 = an + 6 Calculate, to four decimal places, the first eight…

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Q: f(500) = f(1000) = (10000) = Graph f(x) using the graphing utility. f(x) = -10 &x+1 √4x +9 -5 y…

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Q: A. FUNCTIONS, LIMITS AND CONTINUITY 1. For the function f(x) = 3× find f(x+1)/f(x-2). *

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Q: Evaluate lim 3sin4xsin2x म cos2x+1 2

A: This question can be solved by the concept of removing the indeterminate forms in limit

Q: Find values of cl and c2 so that the given functions will satisfy the prescribed initial conditions.…

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Q: At what exact point on the curve y = 5 + 2e^x - 4x is the tangent line parallel to the line 4x - y =…

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Q: The given table represents a pattern of exponential growth.   x      1        2          3 h(x)…

A: Topic- Exponential growth model  we are given points of a exponential function as h(1)=11.8…

Q: Find a value of h for which y 3.0 2.5 2.0 1.5 1.0- 0.5 0.5 ƒ(2 + h) − ƒ(2) h 1.0 1.5 = 0. f(x) 2.0…

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Q: 4 + 9x ≤ f(x) ≤ 12 + x²

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Q: If f(x): ƒ'(x) = f'(5)= = 7x² + 2x + 5 √x " then:

A: If f(x)= (7x2+2x+5)/√x  Find , f'(x) and f'(5)

Q: Find a and b so that f(x) = 2x+1 + ax² + bx+ 2021 satisfies the following: ● ● The average rate of…

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Q: Need to be solved correclty by hand solution

A: Concept used: Calculate the work done in the process of moving the particle under gravitational…

Q: Write the Cayley table for the group U(15).

A: As per the instruction, we will be answering the first one.

Q: Check the fundamental theorem for gradients using the function T = 5sz (2+ sin²4) Pick as your path…

A: The given scalar valued function is Ts,ϕ, z=5sz2+sin2 ϕ. According to the Fundamental Theorem for…

Q: 2. Evaluate the following limit. * 1 4 +1+ X lim x-4 4+x

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Q: A = -3 -30 25 1. -105

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Q: 6. f10e* √1+2e¹dx

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Q: An invoice for $120,700 dated May 26, 2014 for a shipment of furniture has payment terms 1.5/15,…

A: Concept Used: 1.515EOM = There will be 1.5% discount on invoice amount if the payment is made by the…