use the definition of the derivative derivative of the f(x) = 5-4x + 3x² to find

Q: Write a polynomial with leading coefficient 1, degree 5, zeros at x=i and x=2−i, that passes through…

A:

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = -4 -2…

A:

Q: You deposit $2000 in an account earning 5% interest compounded continuously. How much will you have…

A:

Q: The function f(x) = x²e¹⁰x is increasing on the interval and is decreasing on the interval The…

A:

Q: If z = x² - xy + 8y2 and (x, y) changes from (2, -1) to (2.03, -0.95), compare the values of Az and…

A: We can evaluate dz by using the following formula dz = z x dx + z y dy

Q: Consider the following. y = e−x2 Find  y '. y ' =  −2xe−x2       Find the slope m of the tangent…

A:

Q: What value of  b  would give the following function  f(x)=x3+bx2−3x+C  a critical point at  x=−3…

A:

Q: fave = (b) Find c in the given interval such that fave = f(c). (Enter your answers as a…

A:

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = -4 -2…

A: Given query is to find the function of the graph.

Q: Solve each of the following integrals. (a) [{(t+1)7 + cost 7+kat 1+ 30 (b) s((ae²) 7 + (31) di

A: See the details solution in below

Q: Q5. (Newton's Law of Cooling): The mathematical formulation of Newton's empirical law of…

A:

Q: Find the slope of the curve at the given point. 8y +7x5=5y + 10x at (1,1) The slope of the curve 8y…

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

Q: Sunday - let lim (1x) = -8 and lim glx) = -5. Find lim [-5(1x) -8960) 2-2 x > ² [ 3+ g(x) X42 Do…

A:

Q: 3. A rectangular storage container with an open top is to have a volume of 10 m³. The length of its…

A:

Q: 6. y" - y = 4e-2 1-e-2x

A:

Q: To find the length of the curve defined by from the point (-3,210) to the point (3,276), you'd have…

A: Please see the below picture for detailed solution.

Q: Question 3. Let G be the region within the cylinder x² + y² = 1, above the xy-plane and √√6x² + So +…

A:

Q: How many x-intercepts would the function shown below have? f(x) = (x² − 5)

A: given that,   f(x)=x2-5   how many x-intercepts would the function have?

Q: Find an equation of the plane with point P (2, -1, 3) and containing the line L: x-3 y+4 z-5 -6 10 =…

A: General equation of a plane passing through P(a,b,c) is, P(x-a)+Q(y-b)+R(z-c)=0....(i) Where P,Q,R…

Q: Use l'Hôpital's rule to find the following limit. lim (In 5x - In (x + 4)) X→∞ lim (In 5x - In…

A:

Q: A triangular plot of land has one side along a straight road measuring 300 feet. A second side makes…

A: Let, AB be the road. The side AC makes an angle 53 ° and side BC makes42° angle with the road.

Q: Find the derivative of y = (4x³) (5x² − 8) ³ d = 12x² (5x² - 8) *² dy dx ○ du = (127²) (10x² - 8) +…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) √ 25 e2x 25+ e est dx

A:

Q: Given P(x) = 3x5 – 20x² + 118x³ – 530x² + 1075x – 750, and that 5¿ is a zero, write P(x) in factored…

A:

Q: The following information are known about a function f(x): • f(2)=1 lim f(x) does exist x → 2 What…

A:

Q: Answer the following questions about the function whose derivative is f'(x)=(x-2)(x+5)(x-9). a. What…

A:

Q: Please show your answers to at least 4 decimal places. Suppose that f(x, y) = x³y². The directional…

A:

Q: Write an equation for the polynomial graphed below, in factored form. -5 بیا -3 -2 -1 f(x) = 5+ 3 2…

A:

Q: Find the following using the table below. X f(x) f'(x) 1 2 3 4 +3+ 4 g(x) 2 g'(x) 4 1 2 -~-~ -33 1 2…

A:

Q: Select each expression that has a sum of 4 4/12 3 1/5 + 1 3/7 1 11/12 + 2 1/4 1 3/6 + 1 1/2 + 1…

A:

Q: The following problems involve f(x) = 3x¹ − 8x³ - 66x² + 144x + 400 1. Find the relative extrema of…

A:

Q: Find two points where the curve x² + 2xy + y² = 97 crosses the x-axis. The tangents to the curve at…

A:

Q: -10 -8 -6 Answer: f(x) = -4 2 -200 160 120 80 40 -40 -80 -120 -160 -200 2 4 8 10 X Submit Answer…

A: Given query is to find the function of the graph.

Q: y" - 4y"+y' + 6y=0

A: need to find out the solution of the differential equation.

Q: where c = m = 9 -5 6 w -6. -9 -12 d The net signed area in the above graph can be written as [² d =…

A:

Q: 16 Which of the following is the solution to the linear system given by the matrix below? [1 0 3 0 1…

A:

Q: Sketch the graph of the function below, including correct signs, x-intercepts and y- intercepts.…

A: Here we have to plot a graph.

Q: Find the Taylor polynomial P4 for f(x) = In x at Xo = 1.

A: The given function fx=ln x at x0=1 We have to find the fourth order Taylor polynomial.

Q: ite a polynomial with degree 3 that has zeros at x = ly integers. (x) = and x = 2 + √5. Write the…

A: We have to find out

Q: Solve each of the following integrals (a) [((1+1)7 + cost]+ kde dt

A:

Q: Find the exact length of the curve. =x²-In(x), 1≤x≤4 2

A:

Q: What is f'(x) if f(x) = -? 40x5 ex

A: Given data, fx=40x5ex

Q: 3. Consider f(x) = on the interval [6,14]. Verify f(x) satisfies the conditions of √x-5 the mean…

A: Suppose that a function f is continuous over a,b and that f is differentiable over a,b. Then, there…

Q: Which of the following is the equation of the tangent to the graph of y = e sin at the point x = π ?…

A:

Q: Consider the integral 2 [²-10z² ln(z) dz If the integral is divergent, type an upper-case "D".…

A:

Q: O Use L'Hopital's Rule. x²-25 x-5x²-9x+20 5. lim

A: To find out the limit.

Q: Given the function ƒ(x) = 5x¹ + 75x³ + 315x² + 405x, and one of its factors is (x + 9), write f(x)…

A: Giv     fx=5x4+75x3+315x2+405x    One of its factors is x+9 Factor out common terms:…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: V(x, y, z) = eax cos(2y) sin(6z) where a is a constant. a) b) Find Find a² v dx² a²v дуг : :

A:

Q: Which equation choice could represent the graph shown below? -10 9 8 7 -5-4-3/2 -1 Of(x)= x(x +…

A: We will find the required.