Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) < 0, csc (t) > 0. a) Quadrant I b) Quadrant IV c) Quadrant II d)...

Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) < 0, csc (t) > 0. a) Quadrant I b) Quadrant IV c) Quadrant II d)...

A rectangular box must have a volume of 2 cubic meters. The material for the base and top costs $ 2 per square meter. The material for the vertical sides costs $ 64 per square meter. (a)...

The number of minutes taken for a chemical reaction if f(t,x). It depends on the temperature t degrees celcius, and the quantity, x grams, of a catalyst present. When the temperature is 30 degrees...

Find the x and y values at the minimum of f(x)=2x2+xy+2y2+6y+7 I have tried this multiple times but I keep getting marked wrong. I'm not really sure how to approach...

Which of the answer choices has matrix multiplication defined? A B C D ⌈1 2⌉ ⌈5 6 7⌉ ⌈-1 2 3⌉ [5 9 7] ⌊3 4⌋ ⌊8 9 0⌋ l8 -4 0l ..................⌊6 7 1⌋ a) AC b) BA c)...

Rewrite the given parametric equations in Cartesian form: x(t)=4-t y(t)=3t+2 a) y=14-3x b) y=3x+2 c) y=x+4 d) y=4-x

Find a unit vector in the same direction as the given vector: v = 3i + 4 j. a) u=3/25i+4/25j b) u=3/√7i+4/√7j c) Vector v = 3i + 4 j is a unit vector. d) u=3/5i...

Use DeMoivre’s Theorem to find the power of the complex number and write your solution in the form, a + bi. a) −4 − 4i b) -4√2-4√2i c) −8 − 8i d) -2√2-2√2i

Find the projection of vector u onto vector v; projvu= ((u•v)/llvll2)v u = i – 5j and v = i + 5j a) -12/13i-60/13j b) 1/13i+5/13j c) 12/13i+60/13j d) -1/13-60/13j...

The gravitational force of attraction between two masses m and M at a distance apart of R is F=(GmM)/R2 Where G is the universal gravitational constant. Suppose that m is the mass...

during its exponential growth phase, a colony of the bacterium E. Coli grew from 15,000 cells to 60,000 cells in 40 minutes. How long will it take the colony of 15,000 cells to grow to 250,000 cells...

investor has deposited $80,000 in an account that pays 5.3% annual interest, compounded continually. How long will it take until the accounts balance is $100,000?

In 1997, lowe's had 427 stores nationwide. By 1999, this total had grown to 520. If the number of stores continues to grown exponentially at this rate, how many stores will there be in 2017? ...

An investor has deposited $80,000 in an account that pays 5.3% annual interest, compounded continually. How long will it take until the accounts balance is $100,000?

Use the given triangle to evaluate the trigonometric expression. The graph is a right triangle, the side on the y-axis =5 and the side o the x-axis =12. The hypotenuse is not given. sin(y/2)=? a)...

How many winning lottery numbers are possible of a pick 5 where you must match all five numbers from 52 balls? a) 2,598,960 b) 6.7 × 1065 c) 311,875,200 d) 120

The population of a certain planet is believed to be growing according to the logistic equation. The maximum population the planet can hold is 1010. In year zero the population is 50% of this maximum,...

Suppose that f(100,50)=230 and fx(100,50)=2 and fy(100,50)=−3. What value should y be in order that f(101,y) = 230? I tried 50(2/3) but it didn't like that answer. Help...

Find the value for cos(θ) if the following conditions hold: cos(2θ)=1/√2 and 180o<θ<270o a) -(√1+(√2)) b) -(√2+(√2))/4 c) -(√2(√2))/2 d) -(√2(√2))

Given the exponential equation:(5/3)6x+2=(9/25)-x+2, find a common base and solve for x. a) -2/3 b) -3/2 c) 3/2 d) 2/3

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