Determine the direction in which the graph of the following parabola opens. f(x)=−5x^2+x+4 Up Down Left Right

Q: 75. g(t) = 3t5 - 30t4 + 80t³ + 100

A: we need to find the concavity of the function. given function

Q: Compute the differential dz of the function. = x ¹⁰y5

A: To compute the differential  of the following function.

Q: For the function f(x)=simplify the difference quotient: b) [(x+h)-700 What is the slope of the…

A:

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

A:

Q: A particle moves according to a law of motion s= = tª — 2t² + 1, t > 0, where t is measured in…

A:

Q: decays at a rate proportional to the amount present. You receive 1kg. After 80 days you have 250…

A: Let the present amount of substance be x Given that substance decays at a rate proportional to the…

Q: Which of the points P = (-1,4,-7) and Q = (6,-1,5) is closest to the z-axis? OQ (6,-1,5) OQ (6,-1,0)…

A:

Q: -4-3 4 3 2 1 -1- -2 -3- 1 f(x) 2 3 X g(x) 4 5

A:

Q: Nû 4 - x X X dx

A:

Q: 5x+500 A garden shop determines the demand function q = D(x) = 20x +9 the number of plants sold per…

A:

Q: For the demand function q = D(p) = 500 (p+1) ³' 3 find the following. a) The elasticity b) The…

A:

Q: Use logarithmic properties to find the exact value of log17 (175).

A:

Q: Solve for x. 4x = 26 Select the correct choice below and, if necessary, fill in the answer box to…

A: The given equation is

Q: Determine if any of the lines are parallel or identical. L₁: x= 6-3t, y = -2 + 2t, z = 5 + 4t L2: x…

A:

Q: A new music company wants to start selling col л(p) 100p-2.5p², where p is the price of a collection…

A:

Q: 4x(4-x2)1/2  Find the antiderivative

A:

Q: Find the smallest number n of terms needed to obtain an x 9 approximation of the series accurate to…

A:

Q: Assume that the x- and y-axes are rotated through angle 0 about the origin to form the x'- and…

A:

Q: ind  dy/dx  by implicit differentiation. x4(x + y) = y2(5x − y)

A: The given equation is

Q: The limit below represents the derivative of a function f(x) at a point zo. Give the equation for…

A: The  limit below represents the derivative of a function  at a point .To give the equation for  and…

Q: Find dy dx xy + y² = 5 dy-0

A:

Q: 3. In the theory of random motion of particles the following formula shows up: 2²/sin-¹ (√²) F(t) =…

A:

Q: 1. Evaluate each 2-variable function f : D → R below at the given points. For a point described with…

A:

Q: A table of values for f, g, f', and g' is given. g(x) 2 8 2 Xx 1 2 3 f(x) 3 1 7 (a) If h(x) =…

A:

Q: A ball is thrown downward from the top of a 20 m tall building with an initial velocity of 15 m/s.…

A: Given that height of building is 20m. And initial velocity is 15m/s. We find the equation of height…

Q: Suppose the demand for a product is given by D(p) = −4p + 111. A) Calculate the elasticity of demand…

A:

Q: p(x) = a + ax + a,x² + ... + 10x?

A:

Q: Find the partial derivatives of the function fz(x, y) fy(x, y) = fry (x, y) = fyz(x, y) = f(x, y) =…

A: Given,

Q: Find the logarithm using the change of base formula. log 590 log 590 = (Round to four decimal places…

A:

Q: Compute the derivative of the following function. f(x) = 5xe-5x f'(x) =

A: we need to find out the derivative of the given function.

Q: Calculate p'(1) if p(x) = (f(x) + g(x))¹.

A: The given function .The aim is to find the value of the derivative .

Q: Find the GCF of the expressions. 15a8b(c – 7) and 12a¹⁰b7(7 — c)

A:

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

A: The given function is

Q: Sketch the region bounded by the curves. Find the exact coordinates of the centroid. y=e¹, y=0, x=0,…

A:

Q: If f(x)=x² [f(x)]³=2x-8 and f(1) = 2, find f'(1).

A: we are given the equation, and we need to find the value of f'(1).

Q: Determine for what values of k the system  3x + 2y = 1; 6x + 4y = k has: a unique solution no…

A:

Q: Find the eigenvalue associated with the eigenvector A = Number -[-28] = of the matrix A=

A: The given eigenvector is The given matrix is

Q: f(x)=x54x

A: Given that functionWe have to find the derivative of the given function

Q: Find the length of the curve x = 6y from y = -5 to y = 5. Write the exact answer.

A:

Q: Differentiate the following function with respect to : cos (cos(x))

A: The function is  Here we have to find the derivative of the function

Q: Find the eigenvalues of the matrix -40 -18 2 -8 -18 -14 -8 -18 -14, Enter the eigenvalues as a list…

A:

Q: Use the arc length formula to find the length of the curve y = 7 − 4x, −1 ≤ x ≤ 2. Check your…

A: The objective of the question is to evaluate the arc length of the given function over the asked…

Q: For the demand function q = D(p)=√√450- p, find the following. a) The elasticity b) The elasticity…

A:

Q: Consider the following equation. x²7xy-y²-5y = -47

A: x2−7xy−y2−5y=−47

Q: 2. A = 77₁b = 3 25 -1 3

A: Given, .If A=, than .

Q: 1. Verify y(x) = c, sin x + c₂ cos x - (cos x) In(sec x + tan x) is a solution to y" + y = tanx. 2.…

A:

Q: 2. On what intervals is the function increasing and decreasing? On what intervals is the function…

A:

Q: Write a polynomial f(x) that satisfies the given conditions. 1 Polynomial of lowest degree with…

A: *to find,the polynomial f(x) which satisfies the condition given in question.*given,f(0) = 3.

Q: a. Find all the intersection points of the following curves. b. Find the area of the entire region…

A:

Q: Find the derivative of the following function. 8 9 f(w) = ³ + xw²+6w+5 5 f'(w) =

A: Given,