2. Use the graphical method to find ₁ and 2 so as to minimize z = f(x₁, x₂) = a₁ +422 subject to ₁ +3₂ 2 4 21 +82 10 21 ≤3 X₂ 20

Q: 4. Which of the following functions has a maximum value? a. f(x) = x- 3x + 4 b. f(x) = 2x + 5x + 3…

A:

Q: 6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form:…

A: given  f(x)=cx2-b  if x≤4-2x+c  if x>4given  f(x) is differentiable at all point

Q: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

A: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

Q: If f(z) dz = 0 and g(1) da = 4, what is the value of || f(#g(y) dA where D is the rectangle: 3 <…

A:

Q: b. Маx z %3DX1 + X2 s.t. 2x1 + x2 < 20 X1 +3x2 < 15 X2 < 4 X1, X2 2 0

A:

Q: 25. If f(x) = 3x² – x + 2, find f(2), f(-2), f(a), f(-a),

A:

Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

Q: Find the particular solution of the function defined by the following properties: f"(x) = 1&x; f'(1)…

A: Given: f''(x) = 18x,  f'(1) = 5,  f(3) = 80 To find: The function f(x) from the given options.

Q: 4. What is f(a + b) if f(x) = 3x² − 2x + 5 5. Given the piecewise function if x≤3 f(x) = 2x+1,…

A:

Q: 9. Given the functions /(x) = 2x + 5 and g(x) = x? – 4, find (4) x. b. C. d. 2x-5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the minimum value for p(x) = -x2 – 24x on the interval [-6,-1]. JUSTIFY YOUR ANSWER.

A: px=-x2-24x Differentiating with respect to x, we get p'x=-2x-241=-2x-24 Now to find critical values,…

Q: 3. Use the Argument Principle to show that (a) f(z) = z + 1 has one zero in the first quadrant, and

A: Given: f(z)=z5+1

Q: a) If y = 3x – 2, x = 3t + 2, and t = 3k – 2, find b) Express y as a function of k ify = 2x + 5, x…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: Find the point on the graph of y = 1x that is closest to the point (2, 0). [Hint: 2(x - 2)2 + y2 has…

A: Given: y=x Let the point closest to (2,0) be P(x,y). Distance between point P(x,y) and (2,0) is:…

Q: Find the maximum value of f(x)=−5x2+5x+6 on the interval [−20,20]

A:

Q: If a and b are positive numbers, find the maximum value of f(x) = x(8 – x)º on the interval 0 < x <…

A: Given: f(x)=xa(8−x)b To find the maximum value find all the critical points. Critical points are…

Q: 10. Let f(z) = 4z7z²+3z +1 and g(z) = 4z7. Show that f(z) - g(z)| < |g(z)| for |z| = 1.

A:

Q: The vertex, x-intercepts, y-intercept, and line of symmetry for a. V (1,-5); 2 -2- Vī /10 -2+ V10…

A: Here the given function is,  f(x)=2x2+4x-3…

Q: Show that f(x) = x5 +2x4-6x3+2x-3 has a solution between 1 and 2. Use the intermediate Value…

A: The equation given to us is  f(x) = x5 +2x4-6x3+2x-3

Q: Test for an ext remum o f t he functional 1 [2? y² + x? y']dæ, y(0) = 0, y(1) = 1 0.

A:

Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm.…

A: a)Area of the box (A)=x.x+2xh+2xhA=x2+4xh75=x2+4xh  [Since A=75 cm2]75-x2=4xhh=14x75-x2Volume of the…

Q: -. Which equation shows the minimum or maximum value of f(x) without changing the form of the…

A: Please refer the attached image for complete solution.

Q: Q1) A) Whether the function is even, odd, or neither. 1) h(x)= 2x +1 2) k(x) = x³ +x B) Find the…

A: See the attachment

Q: 10. Let f(x)= 3x + 8 and g(x)= x - 2. Find f(g(x)). a. 2x + 3 b. 2x - 3 c. 4x + 1 13 d. 3x + 2

A: As per our guidelines we are supposed to answer only one question. Here question 10 answered.

Q: nsportar Security Administration, represented as the number of years since 200 = ax2 + bx +c to the…

A:

Q: f6 23) A manufacturer finds that the cost of quality assurance is related to the number of…

A: The cost function is given by, Cx,y=6x2+3y2−612x