Differentiate using first principles. f(x) = -3x² + 4x+6

Q: Question 1 What is a suitable IF for solving the linear equation ty' + y = cost, t> 0 OA. B. OC 3t…

A: Given, ty'+32y=cos(t), t>0

Q: The graph of the function f(x) = x³ is translated horizontally to create g(x). If the point (4, 8)…

A: We can solve this as follows:

Q: Let f(x)=-12 arccos (2e) Find f'(In (3)). Enter your answer below.

A: Wee need to find derivative value.

Q: Use the given graph of the function to find the x-values for which f is discontinuous. Answer…

A: The graph of a function is said to be discontinuous at a point where there is a break in its graph.

Q: Suppose that lim f(x)=15 and lim g(x)=-8. Find the following limits. x-b a. lim (f(x) + g(x)) b. lim…

A: Here we have to use the concept of limits

Q: x + 3 x²-x-12 a) Determine the following key features of the function: i) domain and range Consider…

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Q: Use logarithmic differentiation to find the derivative of the given function. 2 sin a y = x² s

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Q: Calculate the derivative à S² √7 + x² dx =

A: NOTE: Refresh your page if you can't see any equations. . break this integration at t=0

Q: Given: y' + y = y²(cosx - sinx)and y(0) = 2, Find C OA.0 OB. 1/4 O c. 1/2 OD. 3/4 OE. None

A: Let's solve given diffential and find constant C.

Q: In each of Problems a. Determine 16 through 1. a suitable for for Y(1) if the method of undetermined…

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Q: f(x) = x³ - 6x² + 4, x ≥ −1. d the minimum value of the function: ve where the minimum occurs. Type…

A: Topic:- application of derivatives

Q: Find all roots of the polynmial equation 2x to the fourth - 7x cubed +18x squared - 42x +36 =0

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Q: Give the general solution of the given ODE. Show full solution. y′(2x−3) = 2xy+48x−3y−72

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Q: Assume that the level surface equation x3+y3+z3+6xyz = 1 defines z implicitly as a function of x and…

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Q: The parametric equations of a cycloid generated by a circle of radius a is given by dy d²y x =…

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Q: Use logarithmic differentiation to find dy dx y = (x + 1)(x-6) (x - 1)(x+6) dx X>6

A: By using logarithmic differentiation to find dydx.y=x+1x-6x-1x+6, x>6

Q: K By computing the first few derivatives and looking for a pattern, find dx d925 925 dx 925 925 (sin…

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Q: Consider the cost function C(x) = = +2x² +x 133 R(x) = 2x² + 2x, where x ≥0. Disregards the units of…

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Q: Given: y2 + t2 + (e2y + 2ty)y' = 0, and y(1) = 0, Find: C (constant) OA. 1 OB.O O C. 1/2 OD. 1/4 O…

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Q: For what values of x is the tangent line of the graph of f(x)=10x^3-75x^2+118x+90 parallel to the…

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Q: can be written in the form. -8 ƒ (x) = -a(x+b)(x+c) (x+d)(x+e) -6 1 -4 (-2,0) 0 (0, 0.4) (1,0)

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Q: Which of the following is the polar coordinates for the point with rectangular coordinates (3√2,…

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Q: Evaluate the given limit algebraically, if it exists. lim-0 sin 8x 6x-2x³

A: limx→0sin8x6x-2x3

Q: If g(x) = cos(x) then g'(x) = g'(4) = (round to 3 decimal places)

A: If gx=cosx, then to find g'x and g'4.

Q: Question 9 Which of the following equations has a solution of the form F(t,y) = C. A. 3t+ 2y + (3t+…

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

Q: Let g(x) = f f(t) dt, where f is the function whose graph is shown. Answer the following questions…

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Q: 3 Define Q as the region bounded by the graphs of u(y) = -²(y-2). the y-axis, y = 0, and y =…

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Q: Expand the expression in attached image up to 3rd term.  Hence estimate (0.99)10 to 3 dp.

A: Binomial expension

Q: Determine the sum of the convergent series below. Σen211-n n=1 Leave your answer as a fraction in…

A: Given: ∑n=1∞ e3n211-n

Q: Given f(x) = 7x² + 4x +9, determine the value of con (-6, 6) guaranteed by the Mean Value Theorem. =…

A: Given query is to find the value of c.

Q: A Moving to the next question prevents changes to this answer. Question 1 Given: y2 + t² + (e²y +…

A: Let's solve given diffential equation and find constant C.

Q: Given f(x) = 3 sinx, determine the value of c on (0, - 2 by the Mean Value Theorem. c Ex: 1.23…

A: Topic - Mean Value theorem We are given, f(x)=3sin x  ,  0,3π2 We know that ,by mean value theorem…

Q: What is the general solution of the given equation, cos(x + y) + 2x + (cos(x + y) + 4y)y' = 0 OA…

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Q: Consider the following. 11.4 (4x-y) dA, where R is the region in the first quadrant enclosed by the…

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Q: 2. For each of the following functions, determine the derivative using only algebraic techniques and…

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

Q: I dont understand what is written. Can you write in another way or atleast have spaces in between…

A: Here we have to determine the sum of convergent series.

Q: What is the general solution of the given equation, cos(x + y) + 2x + (cos(x + y) + 4y)y' = 0 OA.…

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Q: If f(x) = 2x(sin x + cos x), find f'(x) = f'(1) = (do not distribute) (round to 3 decimal

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Q: A blach What is the probability that (a) the sum of the values is even? (b) the number on the red…

A: A black and red die is tossed than what is the probability of  a) the sum of the values is even? b)…

Q: Let z(x, y) = x¹y where x = t² & y = t¹. dz dx dy & by first finding dt dt Calculate dx dt ▬▬ = dt…

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Q: Differentiate the given function using the appropriate rule(s). Your answer does not have to be…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Gamma function The gamma function is defined by T(p) = ™ 2P a. Use the reduction formula 1. x²e-¹ dx…

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Q: 2. Determine the direction angles for vector w = (-3,-4,12) (ehem 2) Sairie er to vilinolev…

A: Given query is to find the direction angles.

Q: 1. Condense. . (a) 32.32 y

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Calculus Find the standard deviation of the scores: 5.5.5. 8. 11. 11. 11. Round to tenths A) 2.8 B)…

A: To find the standard deviations

Q: Does the graph of the function below have any horizontal tangents in the interval 0≤x≤2r? If so,…

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Q: Consider the function f(x) = 4x - cos(x) +5 on the interval 0≤x≤1. The Intermediate Value Theorem…

A: Given function:- fx=4x-cosx+5

Q: Determine the type of DE (select all that applies): 2xy dx + (y² + x²) dy=0 Linear Exact Separable…

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Q: Find the unique solution of the second-order initial value problem. y'' +18y = 0, y(0) = − 1, y'(0)…

A: The given differential equation is: y''+18y=0 So, we can also write as; D2+18y=0 The auxiliary…

Q: Help

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