For the given function, find the points on the graph at which the tangent line has slope 1.y = -0.25x2 + 5x
A. (0, 0)
B. (8, 24)
C. (1, 4.75)
D. (10, 25)
Answer: B
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Solve the given differential equation.y"' - 48y' - 128y = 0
A. y = C1e8x + (C2 + C3x)e-4x B. y = C1e-4x + (C2 cos 8x + C3 sin 8x) C. y = C1e8x + C2e-8x + C3e-4x D. y = C1e-4x + (C2 + C3x)e8x
Sketch the graph of the quadratic function. Give the vertex and axis of symmetry.f(x) = -x2 - 5
A. vertex (5, 0); axis x = 5
B. vertex (-5, 0); axis x = -5
C. vertex (0, -5); axis x = 0
D. vertex (0, 5); axis x = 0
Use the product rule to simplify.
A. 9x
B. 567x
C. 9
D. 9x
Solve the problem.Consider the following simplified digital photograph that has a 3 × 3 grid with four gray levels numbered from 0 to 3. It shows a letter Y in dark gray on a white background.Let A be the 3 × 3 matrix that represents this figure digitally. Find the matrix B such that A + B will represent the entire picture becoming one gray level darker.
A.
B.
C.
D.