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Find an equation of the tangent plane to the given surface at the specified point. z = 4(x - 1)2 + 3(y + 3)2+ 8; (2, -2, 15)

Identify the transformation that maps the regular pentagon with a center (0, -2) onto itself.

Find the linear approximation of the function f(x) = √(1 - x) at a = 0.

Use the number line and add the following integers: (a) 9+(-6) (b) 5+(-11)(c) (-1)+(-7) (d)(-5)+10(e) (-1)+(-2)+(-3)(f) (-2)+8+(-4)

If v lies in the first quadrant and makes an angle pi/3 with the positive x-axis and |v| = 8, find v in component form.

Simplify using the distributive property, Show all work -2(x - 5) + 4(9 + x).

Find the area of the region under the graph of the function f on the interval [0, 9]. f(x) = 9x - x2

Write the quadratic function in the form f(x) = a(x - h)2+ k. Then give the vertex of its graph f(x) =x2- 8x + 20

What is f(3) for the quadratic function F(x) = 2x2 + x - 12?

What value of c makes the statement true? -2x3(cx3+ x2) = -10x6- 2x5

Find the arc length function for the curve y = 2x3/2 with starting point p0(4, 16).

For what value of c is the curve y = c/(x + 1) tangent to the line through the points (0, 3) and (5, -2)?

In the triangle below, what is the length of the side opposite the 60° angle?

In two or more complete sentences, explain how to solve the cube root equation, ∛x - 1 + 2 = 0

Divide x to the 3 fourths power divided by x to the 1 sixth power.

The minute hand of a watch is 1.5 cm long. How far does its tip move in 40 minutes?

Which equation defines the graph of y = x2 after it is shifted vertically 3 units down and horizontally 5 units left? y=(k - 5)2 - 3 y= (k + 5)2 - 3 y=(k - 3)2 - 5 y= (k + 3)2 - 5

The sum or product of a non-zero rational number and an irrational number is always Rational. Irrational. A repeating decimal. A fraction.

What is the value of x to the nearest tenth?

Evaluate the function rule for the given value. y = 15 × 3x for x = -3

Of the 103 people enrolled in mathematics class, 91% are present. How many are present?

What is the approximate value of x in the equation below log3/4 25 = 3x - 1

What are two different ways you could find the value of a? Explain these methods. A right triangle is shown. An altitude is drawn from the right angle to the opposite side to form 2 line segments with lengths 9 and 16. The lengths of the other 2 sides are 15 and a.

What is the measure of angle A in the triangle below?

Determine whether the relation is a function. {(5, 9), (4, 8), (-7, 4), (0, 4), (2, 4), (3, 9), (-3, 8)}

Which statement describes the first step to solve the equation by completing the square? 3x2+ 18x = 21. Multiply both sides of the equation by 19. Add 81 to each side of the equation Add 9 to each side of the equation Multiply both sides of the equation by 1/3.

Find the distance between the points (-1, 5) and (-8, 3).

What are the solutions of the quadratic equation 0 = -x2 - 6x - 8?

Find the second and third term of the arithmetic sequence -7, __, __, -22, -27

Find the general solution of the given differential equation. dy/dx + y = e5x

In triangle ABC, the measure of angle B is three times that of angle A. The measure of angle C is 20 degrees more than that of angle A. How do you find the angle measures?

When rolling two 1-6 number cubes, the table below shows the possible products for the two numbers rolled. The possible outcome is 36. If you rolled two number cubes, what is the probability you will roll a product larger than 9?

Which of the following shows the true solution to the logarithmic equation below ? log(x) + log(x + 5) = log(6x + 12) x= -3 x = 4 x= -3 and x = 4 x= -3 and x = -4

Which set of polar coordinates describes the same location as the regular coordinates (-5, 0)? (5, 90),(5, 0),(5, 180),(-5, 270)

Which of the following is a factor of x3 - 729? x - 9 x + 9 x2 + 18x + 81 None of the above

What is the solution of this system of linear equations? 3y = x + 6, y- x = 3

What is the exact distance from (-4, -2) to (4, 6)?

The domain of the following relation: r: {(3, 5), (8, 6), (2, 1), (8, 6)} is

How much money invested at 5% compounded continuously for 3 years will yield $820?

Find the following measure for this figure. slant height = ?

What is the most precise term for quadrilateral ABCD with vertices A(4, 4), B(5, 8), C(8, 8), and D(8, 5)?

What value of x would make rq tangent to Circle P at point Q?

Find a polar equation for the curve represented by the given cartesian equation. y = 6

Which point does not lie on the circle centered at (3, 2) with radius 5? A(0,6),B(3,-3),C(-2,2),D(3,0)

A random variable X has a mean of 120 and a standard deviation of 15 a random variable Y has a mean of 100 and a standard deviation of 9. If X and Y are independent approximately what is the standard deviation of X plus Y.

Which of the following points does not lie on the graph of y = log3x? (0, 1),(27, 3),(1, 0)

What are the solutions to the system of equations? x2 + y2 = 5 and y = 2x?

Which sequence shows a pattern where each term is 1.5 times the previous term and the first term is 3?Find its 21st term.

If the measure of arc QR is 100°, what is the measure of angle PQR?

Simplify the following expression: 8x - 8y + 5z - 3x - 14y + 3z

Find the second and third term of the arithmetic sequence -7, , , -22, -27