What is the range of the function f(x) = 2 - 3x if the domain is x ≥ 0? (A) f(x) ≥ 0 (B) f(x) ER where E means element of & R means real numbers (C)f(x) ≤ 2 (D) f(x) ≤ 0 (E) f(x) ≥ 2

Q: An equation relating the variables x and y, the values of x and y, and the value of dy value of…

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Q: 9) Solve the triangle that has sides 4 ft, 5 ft, and 8 ft. Draw a picture of the triangle with the…

A: Let's solve triangle all angles.

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

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Q: Find dy by implicit differentiation. x² x+y dx 11 = y² + 5

A: Given query is to find the derivative.

Q: Find the indefinite integral. (Use C for the constant of integration.) [x² x cos 7x² dx

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give…

A: Given function: fx=x8/9 on the interval -8,9.

Q: Consider the function f(x) = needed. x² x² + 4 You may use the facts that f'(x) = a. Find the…

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Q: Determine the solution for the following higher-order homogeneous differential equation. Also,…

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Q: Suppose that f(x) = (x + 4)(x - 3)2. (If an answer does not exist, enter DNE.) (a) Find all critical…

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Q: Problem 2. Find the following limits. (c) lim x 0 x (d) lim x48 x³ arctanr el/a - 1 1/x

A: Here is the solution:

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

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Q: A piece of wire of length 53 is cut into two pieces. One piece is bent into a square and the other…

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Q: Given the function f(x) = 5x³ − 56x² + 112x + 128, and knowing one factor is (x − 4), write f(x) a…

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Q: 27. If = xy² 7-2x²yz7-3yz² find curl 7 at the point (1,-1, 1)

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Q: The graph of f' is given. Assume that f is continuous and determine the x-values corresponding to…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x) = (2+4x)…

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Q: Find the indefinite integral. (Use C for the constant of integration.) J In(e4x - 3) dx

A: We have to find the indefinite integral.

Q: In the following exercises, change the order of integration and evaluate the integral. π/2 Z+1 ://…

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Q: Recall that the logistic model can be written in the form a) Give the formulas for finding the…

A: We have to find carrying capacity and growth rate, by comparing the logistics model formula to the…

Q: 5. f'(x) does not exist for x = A. 1 only B. 1 and 2 C. 2 and 6 D. 0, 1, 2, and 6

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Q: What are the real roots of the function in the graph? y -7 -6 -5 -4 -3 -2 A 3 B 4- -6 - 5 4 3 2 11 0…

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Q: For problems 3-5 A math camp wants to hire counselors and aides to fill its staffing needs at…

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Q: Find dy by implicit differentiation. x² + x³y² + y²³²-6

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Q: Set up, but do not evaluate, an integral for the length of the curve. ST 2 x = 4 sin(y), Osys (C dy

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Q: Find a formula for the general term an of the sequence (starting with a₁): 1 1 1 1 6' 12' 18' 24' an…

A: Given is to find the formula for nth term

Q: -15 4 -3 गी 9 6 2 6 $ ई 4 s े + + ई 4 -$ + -7 2

A: Here we have graph of a function f(x)  Then we have to write it's domain

Q: 12. A bank account grows at 5% interest compounded semiannually. How long will it take for the…

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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: use the table to estimate the 10.2 10.3 5.6 4.3 4.7 4.2 10 10.1 (x) 4.5 3.4 g'(x) 6.5 5.9 9 Sunday

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Q: Write an equation for the polynomial graphed below. +'? -4 f(x) = 8 7 6- 5 4 3 2 ņ m A -5- OA -6-…

A: Write the equation of the polynomial

Q: 4. The value of a timber forest after t years is V(t) = 4 maximized.

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Q: Which of the following is  F(x)+C  for  F(x)=∫f(x)dx=∫(3e^x+2sin⁡x)dx  and  F(0)=0  ? Select one…

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Q: Suppose that you perform integration by parts on the integral have set u = ln x and dv Select one…

A: The given integral is: I=∫x3lnxdx   Use the integration by parts; ∫udv=u·v-∫vdu And The Power rule:…

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

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Q: Consider the function f(x) - 2x³ + 45x² - 300x + 5. - For this function there are three important…

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Q: A dog food producer reduced the price of a dog food. With the price at $10 the average monthly sales…

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Q: e² 82. · [ (v + In u) dv du e In u

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Q: 10 & 16 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum…

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Q: Suppose that 43 of work is needed to stretch a spring from its natural length of 32 cm to a length…

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Q: The line that is normal to the curve x² + 4xy-5y2 = 0 at (4,4) intersects the curve at what other…

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

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Q: find the slope of the curve at the indicated point. Y= -6x-6, x=3

A: Given query is to find the slope of the curve.

Q: Problem 2. cos (x) (a) lim x+1 √√x-1

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Q: Differentiate a. Y = y the following 1 x² + x² +1 b. g(u) = √ 24 +√√√3u functions

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Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 1 and roots at x = 0 and x =…

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Q: matrix B was obtained from matrix A by interchanging two rows. If det(B)=x+y , what is det(A) ?…

A: Given:    detB=x+y Property of Determinant Function:   If B is obtained by interchanging some two…

Q: Which of the following is the area of the parallelogram formed by vectors  (0,−3,1)  and (1,4,−2) ?…

A: Which of the following is the area of the parallelogram formed by vectors  (0,−3,1)  and (1,4,−2) ?…

Q: 1 2 -x² + 4x + 5 y 12 where x is the horizontal distance in feet from the point at w the ball is…

A: Topic:- algebra

Q: Suppose that f(x) = e9-18x2. (If an answer does not exist, enter DNE.) (a) Find all partition…

A: **As per our guidelines, we are supposed to answer only the first 3 subparts of a question. Since…

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y (a) 256 (c)…

A: Topic = Area