re the vectors Choose and 16 linearly independent? 4 f they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. -

Q: Find f' and f" for the function. f(t) 92²2²-7 t f'(t) F"(t) = 18t + 7 انا 2 14 18+ + X X

A: Given: f(t)=9t2-7t

Q: If f(x) = 3 x-3 7 and g(x) = 7x³ + 3, are f(x) and g(x) inverse functions?

A: The functions f and g are inverse functions for each other if and only if f∘gx=g∘fx=x

Q: An open-top rectangular box is to be made from a piece of cardboard 30 inches long and 12 inches…

A: a) Let x be the length of each side of the square to be cut out from each corner. The dimensions of…

Q: A ball is thrown upward. Its height hin feet is given by h(t) = 104t - 16t², where t is the time…

A: Given height:- ht=104t-16t2

Q: 1 (x + 1)eº dx

A:

Q: Use the four-step definition of the derivative to find f'(z) if f(x) = 91²-31 - 20. You may have to…

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Q: Which of the following integrals are improper? (Select all that apply.) of 10x 1 7x - 1 dx 6 1…

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) =…

A: The given function fx=ln x on the interval 1, 9. We have to check the function satisfies the Mean…

Q: e volume of the frustum of a right circular cone with height h = 71, lower base rac

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Q: Two days after he bought a speedometer for his bicycle, Lance brought it back to the Yellow Jersey…

A:

Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

A: The given parametric equation is: x=6cos3θy=6sin3θ  Use a graphing utility to graph the curve…

Q: 1 5. Suppose the revenue of a company is modeled by R = -(1200x²-x³), 0≤x≤ 500, where 50,000 X is…

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Q: Let be a quadrant II angle with sin(0) = = Find sin 0 2 √89 10

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Q: Let u= (−6, −2) and a = (3,-9). Find the vector component of u along a and the vector component of u…

A: There are two components in a vector. One is horizontal and other is vertical. The vector component…

Q: - y² = 4 in the first quadrant.

A:

Q: Let x be a number. Translate the English phrase into a mathematical expression. 13) The total of -78…

A:

Q: 6x-7 The total cost (in hundreds of dollars) to produce x units of perfume is C(x)= 5x+1 (a) Find…

A: C(x)=6x-75x+1(a) aversge cost(C¯(x))=C(x)x

Q: Find all the first and second order partial derivatives of f(x, y) = −8 sin(2x + y) — 4 cos(x - y).…

A:

Q: Simplify the ratio of factorials. (n + 1)! (n − 1)! X

A: We have given to find ratio of factorials Let, y=n+1!n-1! y=n+1nn-1!n-1! y=n+1n y=n2+n

Q: Which of the following is the partial derivative with respect to y of the function: Select one: fy O…

A:

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)= x³…

A:

Q: For the sequence defined by: a₁ = 3 an+1 Find: a2 = a3 || a4 = 5 an - +3

A: given  a1=3an+1=5an+3

Q: B: Find Inverse Laplace Transformer for the following function:- 3s3-s²-3s + 2 F(s) = s² (S-1)² 5

A: According to question,Given function,Fs = 3s3-s2-3s+2s2s-12

Q: Evaluate the iterated integral T by reversing the order of integration. rocs(2y²)dy) dx,

A: Please see the below picture for detailed solution.

Q: The number of bacteria in a flask grows according to the differential equation dy/dt=0.09y In this…

A: The given data is: dydt=0.09y

Q: Write the sum using sigma notation: 1 + + +...+ Σ 1 + 109-110 = ₁ B, where 2-3 1-2 A = B = 1 3-4

A:

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 200e-x² - 3y² - 7z² where T is…

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Q: Suppose sin x = Then COS X tan x 36 85 and is an angle in Quadrant 4.

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Q: For the given function, find the critical points c and the intervals on which the function is…

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Q: - Evaluate the triple integral JJJ, 2x de. where W is the solid in the first octant bounded by the…

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Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} D

A:

Q: Differentiate the function below with respect to a. f(x) =ln (−4 x² − 5 x + 8) Note: • In Text mode…

A: Given function is f(x)=ln(-4x2-5x+8)

Q: Question: When you are evaluating the integral Which substitution can you use Which factor you have…

A: Please see the below answer.

Q: The slope of the tangent line to the curve In (xy) = y² — 1 at the point (1, 1) is m =

A:

Q: Westside Energy charges its electric customers a base rate of $8.00 per month, plus 15¢ per…

A:

Q: Find the volume under the graph of the function f(x, y) = 4x³y over the region shown in the figure…

A: Consider the function and the region  f(x,y)=4x2y

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

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Q: Find the Inverse Laplace transform for the followi 2-5s (s-6) (s² +11) a) F(s) = =

A: Note:- Since you asked multiple equations ,according to our policy we can solve only first question…

Q: Find a formula for f(n)(x) if ƒ(x) = e7x. f(n)(x) = 0

A:

Q: Which of the following values are needed to compute 3102 (mod 41) using fast exponentiation? Mark…

A: We need to solve mod problem.

Q: 3. Given 5y +4x² = 4x-y, find: dy dx a. b. d²y dx²

A: Derivative

Q: Use the two-path test to prove that the following limit does not exist. lim xxy)-(0.0) y +x y-2x…

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Q: For the following demand equation, differentiate implicitly to find dp/dx. p5 + p - 6x = 60 dp II

A: given   p5+p-6x=60d dx(xn)=nxn-1d dx(costant)=0

Q: Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that…

A:

Q: Let f(x) = 3x² + 3x + 12. Find the x-value(s) where the graph of the function has a horizontal…

A: see below the answer and calculation Note: As per Bertleby Guideline i have to solve only first…

Q: Differentiate the function f. Use the form f'(x) = f(x) = 9x² + x + 8 f'(x) = = lim h→0 f(x +h)-f(x)…

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Q: e graph of y = f(x) is shown. Assume f'(x) is continuous. 8 7 6 5- 4 3 2 -7 -6 -5 -3 -2 -1 nd xf(x)…

A: Given query is to find indicated limit.

Q: A rectangular storage container with an open top is to have a volume of 160m³. The length of its…

A:

Q: For the function below, determine each of the following. XA x - 30 (a) Find the critical values of…

A:

Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the…

A: Given: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing…