### Algebra

1a. (2 x 10^3)(4 x 10^5)= 1b. (3.5 x 10^5)(2 x 10^9)= 1c. 8 x 10^11)(2.5 x 10^3)=

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1a. (2 x 10^3)(4 x 10^5)= 1b. (3.5 x 10^5)(2 x 10^9)= 1c. 8 x 10^11)(2.5 x 10^3)=

1a. 5^2 x 5^4= 1b. (6p^5)(8p^4)=

1a. (2 x 10)(4 x10)= 1b. (3.5 x 10)(2 x 10)= 1c. 200(5 x 10)(1 x 10)=

Rectangular beam has cross sectional area of 2" x 4". The beam is subjected to a longitudinal compressive force of 6000 lbs. The unit strain is 1 x 10-6 ft/ft. What is the original length if the beam is compressed 1 x 10-6 ft?

Please help with the following problems. 1. Find the eigenvalues and eigenfunctions of the boundary- value problem y''+lambay = 0 , y(0) = 0 , y(pi/4) = 0 ( n = pi) 2. Find the eigenvalues and eigenfunctions of the boundary- value problem y''+(lamba+1) y = 0 , y'(0) = 0 , y'(1) = 0 3. Find the square norm

Steve owns a bakery. He has hired a consultant to analyze his business operations, and the consultant has told him that his profits from the sale of pies is given by the following function: P(x) = 120x - x2 where P(x) is the profit and x refers to the number of pies baked. (a) How many units of pies should Steve bake in ord

For the following complex functions f, find their power series expansions cantered at z=i, i.e., . Find the radius of convergence for each of these power series. (see attached) what are the radii of convergence of these series?

Find all solutions of: e^z = 3i e^z=1+i Find all values of: -1^-i (1-i)^(1+2i) log(2-2i) Please see the attached file for the fully formatted problems.

1. Find the equation of the parabola with vertex at the origin, that passes through the point (-6,4) and opens upward. X=1/9y^2 Y=-1/9x^2 X=-1/9y^2 Y=1/9x^2 2. Find the equation for the parabola with the given vertex that passes through the given point: vertex: (-5,5) point: (-3,17) y=3/16(x-5)^2+5 y=11/

The intentisty level of an earthquake is based on the Richter scale. Using logarithms, the Richter scale measures an earthquake relative to (as a ratio of) the weaket possible tremor. Research how earthquakes are measured. What is the formula for measuring earthquakes? ? Why is a 7.0 earthquake ten times stronger than

5. Find the limit of the following functions. Justify your answer using algebra or explain via a sketch how the graphing calculator is used to get the answer. If the limit does not exist, write D.N.E. and justify (explain) why the limit does not exist. a. b. 6. The population of Wichita, Kansas

The answer is: (x^2-c^2)x^2+a^2y^2=a^2(a^2-c^2) I know it can be reduced further, but this is the answer my teacher wants. I don't have a math font so: SR=SquareRoot and 6^2=6 squared or 6x6=36 Thank you for your help!

1, Given that s = 1.59t(1 - 3v), obtain the value of v when s = 3.52 and t = 21.56 2, If x = p/q (1 + 1n r), evaluate r when x = 0.34, p = 1.08 and q = 1.84 3, Solve log(2x + 3) = log (4x) + 2 for x

12. 4 cos²x-2 = 0 14. sec²x+5tanx=-2 15. 4cos²x-2cosx=1

At time t=0 a skier leaves the end of a ski jump with a speed of Vo feet per second at an angle alpha with the horizontal (see figure in the attached file). The skier lands 259 feet down the incline 2.9 seconds later. (a) Approximate Vo and alpha (b) Use your graphing calculator with the numerical integration feature to appr

Cube root of x^2 = 9. solve for x

In a cancer research lab, you are observing the growth of cancer cells in two specimens, A & B. Specimen A presently has 2160 cells and specimen B has 1200 cells. After recording data for several days, you later determine that the number of cells in specimen A, N(A), is growing ny the formula: N(A) = 24t^2 + 588t + 2160 w

You have recently published a research article on the impact of air friction on falling bodies. In your article, you have noted that the deceleration due to friction is a function of the ratio of the volume of the object to the total surface area of that object. a. Express this ratio for a rectangular prism of length L, widt

1) What is the solution for x (7x+1)/11=(10x-12)/6 2) What it the solution for x 2<1-4x greater or = to 8 3) Completely factored form 6x^2+21x-12 4) What it the solution for x X^2+4x-12=0 5) What it the solution for x 6x^2+8x=-1 6) What is the slope of the line between these two points (8,1) (-2,5) 7) Fi

Radical and rational exponent notation are two ways to show the same process. Explain the similarities between radicals and rational exponent notation. Provide at least two other examples of mathematical notation or wording denoting the same process.

F(x) = (x-5)^2-4 Domain Range Vertex Axis Y-intercept X-intercept

Solve the following fourth-degree equations by substituting z=x^2 a. 5x^4 - 23x^2 + 18 = 0 b. 6x^4 + 21x^2 + 12 = 10x^2 + 8

Please help me solve this equation. I worked it out but am not sure of my answer or if I can simplify it. I used the four step method of solving a linear first order equation, so if you could solve it in the same manner, it would be appreciated. Thank you. (t+1)ds/dt +2s=3(t+1) + 1/(t+1)^2

Simplify the following 1. 7/8 + 5/6x 2. 11/7y - 7/8y

SPERM WHALE HAS THE HEAVIEST BRAIN, REACHING 9200 GRAMS THE BRAIN OF AN ELEPHANT WEIGHS 7500 AND A WHEAL BRAIN WHICH WEIGHTS 7185 GRAMS, AND EACH HALF OF ITS BRAIN WIGHS THE SAME AMOUNT AS THE OTHER, WHICH IS THE BEST ESTIMATE OF THE WEIGHT, IN KILOGRAMS

FIND THE SUM, DIFFERENCE, PRODUCT, AND QUOTIENT (ROUND TO NEAREST HUNDREDTH IF NEEDED OF THE FOLLOWING TWO NUMBERS. 56.032 AND 3.95

An average human hair grows about 1/2 inch per month. How much does a human hair grow in 3 1/2 months? Chabely is getting ready for a backpacking trip. She packs 4 2/3 lbs of food and 5 1/8 lbs of eqiment into an 2 14 lbs backpack. What is the total weight she will be carrying? Evaluate 7/8+5/6x Solve the equatio

This problem set is comprised of 8 questions involving logarithmic functions. Complete description of the problem can be found in the attached pdf file. 1. Question involves log to the base of 10 2. Question involves log to the base of 2 3. Question involves finding Decibel Levels 4. Word problem on Earthquake Intensity

Consider the following system in Fig.1 (see attached file). Determine K so that the steady state error for unit step input is zero.

When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. ) Explain what the value