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

Mathematics

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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 

Mathematics

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

Mathematics

Use the product rule to simplify.

A. 9x
B. 567x 
C. 9
D. 9x

Mathematics

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.

Mathematics