Find: ii) P (X₂ ≤ 1X₂ ≤). f(x₁,x₂) = {1x1x² 0≤x≤1, 0≤ x₂ ≤ 1 elsewhere

Q: Determine when the function f(x) = 3x³+4x² - 59x-13 is greater than 7.

A: To determine interval for  the given function fx=3x3+4x2-59x-13 is greater than 7 This is cubic…

Q: a) Let f(x)=−x4−8x3+2x+6. Find the open intervals on which f is concave up (down). Then determine…

A: Given function, f(x)=-x4-8x3+2x+6

Q: Which x satisfies both |x − 3| < 2 and |x − 5| < 1?

A: The inequalities are:  |x − 3| < 2 and |x − 5| < 1 Then we get,…

Q: Determine the interval(s) on which x2 + 2x – 3 > 0. - Ох1 Ox 1 -3 1

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Q: Q = 70x + 82y       x ≥ 0, y ≥ 0 x ≤ 10, y ≤ 20 x + y ≥ 6 x + 2y ≤ 24

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Q: Let 2x 3x + y 8 7 A = and B : 2у — х xy -7 -6 For what values of x and y does A=B?

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Q: 12. Find x and m < A. Show ALL work to find x first. THEN find m< A. (7x-26) (5x-27) A (10x- 23)

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Q: Let f(x) = (x²-8x+6 (4x+9 for x ≤6 for x > 6 Find the value of f(7). A. 34 C. - 7 Select one: Ο Α O…

A: The objective of this question is to evaluate the value of a piecewise function at a given point. A…

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: 2x + 2y + z = 16 x + z = 34 y − 3z = 34

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Q: (y ≥ 3x + 6 (x + y ≤ 4

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Q: Use the table to answer 4), 5) and 6). x f(x) 18 4. f(3)= 5. f-1(1)= 6. f-1(3)= I

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Q: If f(x-2) =-2x + 5, what is f(-3) equal to? A) 7 В) 11 C) -1 D) not exist

A: Convert the function in single variable x only.

Q: Construct a table of values to investigate If r so x? - 2 if x > -1 Jim f(x)tf f(x) = *--1

A: limx→-1 fx if fx=1xif x≤0x2-2if x&gt;-1  x -1.004 -1.002 -1 -0.998 -0.996 f(x) -0.9960 -0.9980…

Q: Given f(x) = 3– 2x – x, Determine each of the following. C. a.) f(-6) b.) fG c.) f(r*) d.) f(x-1)…

A: Topic = Functions

Q: Question 6 of 15 Fand H are sets of real numbers defined as follows. F = (v v<1} H= {v |vs8} Write…

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Q: Identify the interval(s) where h is differentiable. For each point where h is not differentiable,…

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Q: Let X be the number of hours spent studying on any given day. Which of the following is NOT true? A.…

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Q: Let f(x) = 8x3 - x4 + 4. 1. Find the interval of concavity.

A: Find the second derivative of f(x) and equate it to zero f(x)=8x3-x4+4 f'(x)=24x2-4x3…

Q: For the piecewise function, find the values h(-4), h(3), h(5), and h(7). - 3x - 14, for x < - 4 h(x)…

A: From the given function

Q: Let x Ry be defined as follows: Ry means that 2 | (x - y). Select the true statements 6R3 10R5 6R6…

A: We have to select true statements using given data.

Q: If f(0) = acos(be) +1, where a > 0 and b>0, then a true statement is Select one: a. -a +1≤0 ≤a+1 b.…

A: , where  and .To Do:Determine the true statement.

Q: Max P = 4x+2y Subject to: x+2y ≤ 10 x+4y ≤ 12 x≥0, y 20

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Q: Given: Min C = 3X1 + 7X2 + 5X3 Subject to: X1 + X2 + X3 ≥ 50 2X1 + 3X2 + X3 > 100 X1, X2, X3 ≥ 0 9.…

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Q: 3. Given the piecewise function, find each function value. (1 pt each) a) f(0)= b) f(12) = (x+4)²…

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Q: 2) Consider the rules of inference: a) p → ~q, ~p →q P q. Show it is sound. Recall we need to show…

A: We have the argument: p→~q~p→q∴~p↔q So, we need to show that it is sound. We basically need to show…