11/02/23
How do I go about solving for the exact value of this experssion
sec(sin^-1 12/13)I assume I solve for the arcsin for 12/13 first and the find the secant of what I got, but that doesn't sound right.
11/01/23
need help solving this
A quadratic function f is given.f(x) = −3x2 + 6x − 1(a)Express f in vertex form.
11/01/23
Pls help, sorry for the trouble
Link to image of the problem a) write a positive cosine equation that corresponds to the word problem b) how high was your right foot when you first started? thank you!
11/01/23
Law of Cosines (Two ships)
Two ships leave a harbor at the same time. One ship travels on a bearing S10°W at 13 miles per hour. The other ship travels on a bearing N75°E at 11 miles per hour. How far will the ships be after...
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10/30/23
Three times the greater of two consecutive odd integers is 15 less than two-thirds of the lesser integer. What are the integers?
Need help badly
10/30/23
The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)= 1.8208e^.3387x, where x = 0 corresponds to 1998. In what year did/will the exports reach $6.2 bil
Give the answer as the year, with at least one decimal place
10/28/23
A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides.
The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x.The graph of the function V equals x times the quantity 7...
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10/24/23
You will integrate the following rational function
You will integrate the following rational function:∫ (−2 x^2 −24 x +138)/(x−5)^2 (x+3) dxTo do this, start by writing (−2 x^2 −24 x +138)/(x−5)^2 (x+3) = A/x−5 + B/(x−5)^2 + C/x+3(a) Put the...
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10/23/23
Consider the equation below. f(x)=e^6x+e^-x
Consider the function below. f(x)=e^6x+e^-x (a) Find the intervals on which f is increasing. (Enter your answer using interval notation.) Ans: (-ln(6)/7,infinity) Find the interval on which f is...
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10/23/23
Find the indicated nth derivative of the following: write the solution of each number
7. 2nd derivative of y=xArcsinx + √1-x²
10/23/23
Use implicit differentiation to find the: write the solution of each number
9. y' of sec²x+csc²y = 9ans. y'= tanx sec²x / coty csc²y10. g(y)= cos y / 3 - 3 siny
10/23/23
Exercise 3.1. Find the derivative of the following functions: write the solution of each number
2. g(x) = x sinx - 5 cosx at x=π ans. g'(л) = -π3. f(y) 3sec y tan yans. f'(x)=6sec³y - 3 sec y5. y= sin²(3x²-1)ans. y'= 6xsin(6x²-2)6. P(t)= 4csc(sin3t)ans. P'(t)=-12(cos3t)csc(sin3t)cot (sin3t)
10/23/23
Ratio change after addition
Year 6 at Swan School has a ratio of boys to girls 5 to 3, Three girls join the class at the start of term and the ratio changes to 10:7. How many students are in year 6 at this school after the...
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10/22/23
Find the first and second derivatives
Find the first and second derivates for the following:a. y= 1- 4 square root of x + x^3 / yb. y=3x^2e^xc. y=x^3 sinx
10/22/23
Differentiate the following
Differentiate the following:a. y=In (5x)b. y= In(5/x)c. y=In (x^3)d. y=(In x)^3e. y=x square root of In xf. y = In x / xg. y=In (sec(In theta)h. y=In sec theta+tan theta)I. y= (x^3 - 3) sure root...
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10/22/23
How many gallons were consumed by each of the two cars that week?
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas. During one particular week, the two cars...
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10/21/23
Take a general quadratic function f(t)=at2+bt+c
Take a general quadratic function f(t)=at2+bt+c and compute the second difference for adjacent points t,t+1, and t+2(Hint: Your answer could depend on the coefficients a,b and c.)
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