Find c so that the graph of f(x) = cx2-or-2 has a point of infection at (4T4)) a) OCf64 b) OcF128 c) 64 d) O128

Q: . The graph of the function f(x) = ax2 + bx + c has vertexat 10, 22 and passes through the point 11,…

A: We have  fx=ax2+bx+c To find the vertex of the quadratic equation, differentiate it and equate it to…

Q: 1 x, and the line perpendicular to 6 Find the area of a triangle bounded by the y axis, the line f…

A:

Q: What is the maximum point on the curve = 2 + 12? − x3

A: Maxima minima problem

Q: Find a so that the point (-1,2) is on the graph of f(x)= ax2 + 4.

A:

Q: Suppose a cut is made through a solid object perpendicular to the x-axis at a particular point x.…

A: Given that a cut is made through a solid object perpendicular to the x-axis at a particular point x.

Q: Determine whether there exists a constant c such that the line x + cy = 1: passes through (3, 1).

A: We have to determine the value of constant c such that the line x+cy=1 is passing through the point…

Q: What is the point on the curve q(x)=x2−2 that is closest to the point (−18,−2)? Enter your answer as…

A:

Q: If r is a zero of even multiplicity, how come the graph of f doesn’t just cross the x-axis at r?

A:

Q: f(x) = z²+6x+5 x-1

A: On solving this we will get

Q: The function f(x) = x8 + 4x3 –- 7x + 13 has where the absolute minimum occurs, correct to

A: Given, the function        f(x)=x8+4x3-7x+13

Q: Find the absolute maximum value of y=sqrt(16-x2) on the interval [-6,6]

A: y=16-x2         -6,6y=16-x212ddxy=1216-x212-1.0-2xdydx=12-2x16-x212dydx=-xx116-x2Now , dydx=0…

Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

A: Given : f(x) = x⁴ - 4x²    -----(i) We have to find point of inflection and the concavity of the…

Q: Find k such that the line is tangen Function Line f(x) = k/x_y= 4x + 4

A: Here we have to find the value of k such that, the line is tangent to the graph of the function.…

Q: What are the points of intersection of the graphs of thefunctions f(x) = - 3x + 2 and g(x) = x2 - 2x…

A: f(x)=-3x+2 and g(x)=x2-2x-4

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−67xf(x)=7-67x, and the line…

A:

Q: The graph of f(x)=-x-5x+6 has the point (2, -6) on it. O True O Fals

A: Ans: False

Q: The graph of f(x) = 3(x – 4)2 - 3 is a parabola that opens ---Select--- ♥ with its vertex at (x, y)…

A:

Q: 2) Find FCO), if it exits Punctien f(z) - 2 if x raticnal if x irraticnal

A:

Q: 4. Determine the number of zeros of the function f(2) = 224 – 2iz³ + 2² + 2iz – 1 in the upper…

A: The complete solution is in given below

Q: Given the function g(x) = – 2x* + 7x" +x2 + r - There are at most x-intercepts, and based on the…

A: For a polynomial P(x) of degree 'n' 1. The maximum number of x-intercepts is given by 'n' 2. The…

Q: 28)Use the graph to solve a) f(x)0 -fx)

A: To solve the given equation and the inequality , straight from the graph of y=f(x).

Q: The table shows the percentage of people living below the poverty line in one U.S. city in the years…

A:

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: What is the difference between the maximum and minimum of the quantity (x2y2)/25 where x and y are…

A:

Q: 3. Sketch the graph of f(x) = 2x2 – 5x – 6. Find all intercepts and the vertex.. %3D 10…

A: Given

Q: Addison and Kelsey are running on a path modeled by x² + y²-14x-16y-2870, where the distance is in…

A: Follow the procedure given below.

Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral.

A:

Q: The area bounded by the curves f(x) 19x + 9 and g(x) = 19x² +9 is 3.17 square units 0.95 square…

A: Known fact: The area bounded by two curves fx  and  gx from x=a  to  x=b is given by A=∫abfx-gxdx.…

Q: Vhat is the largest output value of the function z = 2x + 2y that can be obtained by plugging in…

A: In this question, the value of the function is checked at the corner point. The maximum value of the…

Q: 3. Find the exact area of the piece of land in San Francisco, Surigao del Norte which is bounded by…

A: Topic:- application of integration

Q: Find the extrema of f(x) = 3x4 − 4x3 on the interval [−1, 2].

A: The given function f(x) = 3x4 − 4x3 on the interval [−1, 2].

Q: Sketch the graph of f(x) =1−2x /(x−3)^2close to x = 3

A: First list some coordinates for the given relation as shown in below table.

Q: The graph of f(x) = -9(x – 8)² - 4 is a parabola that opens ---Select--- v , with its vertex at (x,…

A: Given,  fx = -9x-82-4    We have to find the opening of parabola, vertex and maximum and minimum…

Q: The graph of f(x) = -9(x – 7)2 – 1 is a parabola that opens ---Select--- , with its vertex at (x, y)…

A: given function : as the coefficient of x2 is negative , the parabola will opens downward

Q: Find a so that the point ( - 1, 2) is on the graph of f(x) = ax2 + 4.

A: We have to find a so that the point -1, 2 is lying on the graph of function fx=ax2+4. Since point…

Q: The graph of a quadratic function f passes through the points (−2, 4), (1, 1) and (5, 0). What is…

A:

Q: Determine the open interval(s) on which the graph of y=6x3+8x2+6x-5 is concave downward or concave…

A: Given, function is

Q: What is the multiplicity of the zero at x=-2 of the function represented by the graph?

A: Given,           The function represented by the graph is shown below :           To find : What is…

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)5 on the interval [0, 4]? Justify.

A: we will see how to proceed

Q: csec?x +secX -2=0

A: Given equation sec2x+secx−2=0

Q: Suppose that / (3r-x²) dr=Ax³+ Bx+C, for constants A, B, C. What is the value of C if the curve…

A: The given integral ∫3x4-x2dx=Ax5+Bx3+C

Q: Find all points of discontinuity. g(x) = | x +3, if x>2 !! 8x, if x<2

A: Consider the provided function, g(x)=x2+3,   if x&gt;28x,        if x&lt;2 Find all the points of…

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)3 on the interval [0, 4]? Justify.

A: Check differentiability at x=2

Q: 3. Use the Intermediate Value Theorem to prove that the equation x-5x = 4 is solvable on the…

A:

Q: Find the point at which the line f(x) = - 3x +8 intersects the line g(x) = -5z + 16 %3D %3D

A: Given f(x)=-3x+8 g(x)=-5x+16

Q: The graph of f​(z​)=16^z passes through the points (−1,x ), (0,x)and (1,x) simplify

A: The equation of the graph is given that: f(z)=16z. So, when it passes through the points (-1,x), it…

Q: point =)=at x = 2 -5 at x = -2 x² +1

A: Solving

Q: For what value of x does the function f(x) = x³- -4x attain the absolute maximum %3D in the interval…

A: Given that : The function f is  fx=13x3-4x   ,..........(1) To find: The value of x∈-5, 5 for which…

Q: What are the minimum and maximum values of the equation f(x) = 5x - 2x < +1 on the interval (-2, 2)?…

A:

Q: 4. Determine the number of zeros of the function f(2) = 2zª – 2iz³ + z² + 2iz – 1 - in the upper…

A: