Use the limit definition of the derivative (also known as the 4-step process from section 9.4) to find the derivative of f(x). Do not use the derivative shortcuts from sections 9.5-10.3. f(x) = -3x² + 2x - 4

Q: Question 7: x² - 4 - y = 0

A: We have to solve the given equation using elimination method.

Q: A function is a ratio of quadratic functions and has a vertical asymptote x = 5 and just one…

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Q: 10. Determine the particular solution of the following differential equation: dyxy+2y-x-2 xy-3y+x-3…

A: The given differential equation is: dydx=xy+2y-x-2xy-3y+x-3  ;      y(4)=2

Q: 40. Given that A. -85 18 ¹-90 18 B. C. D. ¹-85 16 E. -5 18 x 4-12 18 =[% = Lin-1 what is equal to?

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Q: Find a positive number b such that the average value of f(x) = 6x² + 2x - 9 on the interval [0, b]…

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Q: 5. x²y = 4x² + 7xy + 2y₁².

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Q: 56. S 1 √x² +9 dx

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Q: da (cos x tan z) =

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Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

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Q: Find the area under the curve y = 1x-² from ï = ! Then find the total area under this curve for æ >…

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Q: 1-(SXOM) 2

A: Find the value of (w^0x^5)^-1

Q: Graph by starting with the base function f(x) = 1/x, using the key points (1,1) and (2, 1/2). Make…

A: The given function gx=1x-2-3 we have to sketch the graph of the function.

Q: Determine whether the given relation is an implicit solution to the given differential equation.…

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Q: How many three-digit numbers can be constructed from the digits 0, 1, 3, 5, 7, 9 if the number must…

A: Topic:- permutation and combinations

Q: (1) Let a = and b =. Show that there are scalars s and t so that sa + tb =. You might want to sketch…

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Q: 3. Let C be the curve given by {(x, y) = R² | 2³ + 2x² + xy³ = y³}. Find the r-coordinates of the…

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Q: 1. Using differentials, solve for the approximate change in the hypotenuse of a right triangle if…

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Q: 6. 3xy dx + (x² + y²) dy = 0.

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Q: 2x dy - y dx = x²y² dx

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Q: Find the arc length parameter along the curve from the point where t = 0 by |v(T)|dt. Then find the…

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Q: 2) Find the surface area obtained by rotating y = √t. t € [4.9] about the t-axis.

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Q: 3. The matrices A, B, C and D are given below: A = 2-2 1 0 2 1 0 -4 5 2 B = -3 2 1 0 0 3 -6 -1 2 2 C…

A: Given matrices A=1230-41502 ,B=-30023-61-12,C=102530-2 ,D=84-3 We have to find B-A,A+2B,BC,A-5CD…

Q: A tank holds 3,000 gallons of water, which drains from the bottom of the tank in half an hour. The…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  t 5 10 15 20 25 30…

Q: (1 For what value(s) of t does the equality hold true? t = (If there are more than one value,…

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Q: Find the solution of the given differential equations. 2xy x²-y² 1. y' =

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Q: 775 775 878 909 940 946 Find, to the nearest unit, the mean solar intensity of the above data. 562…

A: Topic:- mean  Definition:- The mean (average) of a data set is found by adding all numbers in the…

Q: Problem 2: a. Find the differential equation by eliminating the arbitrary constants of the family of…

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Q: Find the most general antiderivative of each of the following functions. Verify that your answer is…

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Q: x f(x) A. -3x B. - C. H 2n D. -3 E. -R 2 An <-3 -1 2 The table above gives values for the function…

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Q: Suppose you wish to retire at the age of 65 with $90,000 in savings. Determine your monthly payment…

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Q: A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters…

A: As we know that cosθ=BaseHypotenus for a right angle triangle.

Q: Subject: Differential Equation Use HOMOGENEOUS DE. Please have a clear and detailed solution.…

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Q: Create 3 exact differential equations and solve for their test for exactness and general solution.…

A: We create 3 exact differential equations and solve for their test for exactness and general…

Q: Set up the definite integral required to find the area of the region under the graph of y = 2x + 33,…

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Q: Let f(x, y) = 15x²3y² A) fz(x, y) -2x B) fy(x, y) = -Gy C) Find the direction vector for the line…

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Q: Problem 3: Determine the two-variable function F(x, y) if F₂(x, y) = xexy + y given that F(-1½ ‚Y) =…

A: Please see the below picture for detailed solution.

Q: 1 x1-x-1 3. lim 1 √x +3 1 2x

A: We have to find the limit of: limx→1- 1x-11x+3-12x

Q: how that x³ + 2x = -1 has a solution in an interval of length. You may find s helpful to complete…

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Q: 4) Find a polynomial of degree 4 that has real coefficients and has 3,2 and 2+i as some of its roots

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Q: Subject: Differential Equation Use HOMOGENEOUS DE. Please have a clear and detailed solution.…

A: Given : rewrite

Q: Find the solution of each of the following initial value problems. y(0) = 1 (a) y' - y = 2te²t, (b)…

A: As you have asked to solve part a only so I am doing only that one. a. Given differential equation,…

Q: 2. Evaluate the following and give the exact value: •TC/2r cos y TC-Y π/6 0 y sin (y tz) dz dx dy

A: Topic = Integration

Q: Let f(x) = 3x² -6x+7. You must show all your algebra. is worth zero points. a) Find the axis of…

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Q: 2) (y² cos x - sin x) dx + (2y sin x + 2)dy = 0

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Q: 4. Do Ex. 3 with the aid of the formula: sin y cos y = Ans. Ans. - 5. $../00 cos 20 sin 20 de. sin…

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Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = -x³, f(a+h) -…

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Q: Problem 2: a. Find the differential equation by eliminating the arbitrary constants of the family of…

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Q: 18. A juggler tosses a ball into the air. The ball leaves the juggler's hand with an initial feet…

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Q: Write an equation for the polynomial graphed below y(x) = 4 3 2 1 1 2 3 Submit Question H a

A: We have given graph of the polynomial  From given graph  Zeros : x=-4,-2,3,4 y-intercept : y=2 Let,…

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

A: The given region enclosed by the graph of: y=x2, y=8-x2, right of x=1 Axis of revolution is: y axis…