Use integration to find a general solution of the differential equation.

$$dy/dx = e^2-^x)$$

Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1, 1), and the x-axis.

determine whether the statement is true or false. Justify your answer. sec 30° = csc 60°

How did the art and architecture of the Muslims reflect cultural blending?

use the product-to-sum formulas to rewrite the product as a sum or difference. 2 sin 7θ cos 3θ.

Graph the polar equation. Find an interval for θ over which the graph is traced only once. r = 2 cos (3θ/2)

Simplify.

$$2\sqrt3 \cdot 3\sqrt 12$$

convert the polar equation to rectangular form θ = 5π/6

Which of the following are NOT examples of placental mammals? a. cetaceans. b. marsupials. c. carnivores. d. primates.

Find the distance from the line to the given point. y = (1/6)x + 6, (-6, 5)

The thin lens equation in physics is

$$\frac { 1 } { s } + \frac { 1 } { S } = \frac { 1 } { f }$$

where s is the object distance from the lens, S is the image distance from the lens, and f is the focal length of the lens. Suppose that a certain lens has a focal length of 6 cm and that an object is moving toward the lens at the rate of 2 cm/s. How fast is the image distance changing at the instant when the object is 10 cm from the lens? Is the image moving away from the lens or toward the lens?

A music store is offering a Frequent Buyers Club membership. The membership costs $22 per year, and then a member can buy CDs at a reduced price. If a member buys 17 CDs in one year, the cost is$111.25. Write a linear equation to represent the total cost y of a one year membership, if x CDs are purchased.

Position and label the triangle on the coordinate plane. isosceles ΔABC with base ¯AB that is a units long

Solve the equation. Check your solution.

$$5 = 7 w + 8 w + 2$$