Solve for x: sin (inverse) x + sin (inverse) 2x = pi/3 [ sin (inverse) refers to the inverse function of sine. Also written as sin^-1 ]
Let a and b be positive constants. Let R(x,y) = bx^(a)y^(b) 1. Calculate x(∂R/∂x) + y(∂R/∂y). 2. Calculate (a + b)R(x,y). 3. How are the two expressions above related...
is defined on A as follows: For All (m,n) ∈A,m R n ⇔ 5 | (m^2- n^2 )
Verify and explain that (a-n)≡(mod b)
Evaluate the expressions. y = f(x), X =f(x) a. f(-1) = ? b. f^-1(3) = ? c. f^-1(0) = ? d. (f^-1 * f)(3) = ?
Can you give me the website? I need them for practice but couldn't find it on the college board website, it only provides free response questions.
Find C and a so that f(x) = Ca^x satisfies the given conditions. f(1) = 25, f(2) = 125 a = ?
Find an equation of the line containing the pair of points (-4, -7) and (0, 4) Determine the vertex of the parabola: y= 4x^2-80x+406
Find C and a so that f(x) = Ca^x satisfies the given conditions. f(0) = 10, f(1) = 40 C = ?
Calculate an expression for the int from 1 to e of (ln(x))^k dx in terms of the integral from 1 to e of (ln(x))^k-1 dx. essentially, I need to integrate by parts to get this equality: The...
an integral from 0 to pi/2 the function is |5sin(x)-5cos(2x)|dx
Find the number b such that the line y = b divides the region bounded by the curves y = 4x^2 and y = 9 into two regions with equal area.
(Round your answer to two decimal places.)
Find the area of the region bounded by the parabola y = 4x^2, the tangent line to this parabola at (1, 4), and the x-axis.
give answer as a fraction and no decimals please
1) given the double angle identity for cosine: cos2θ=cos2θ-sin2θ Prove: cos3θ = cos3θ - 3cosθsin2θ and: cos4θ = cos4θ - 6cos2θsin2θ + sin2θ 2)...
i don't know what are the techniques in integrating in calculus
Differentiate f(x)= 6-xe^x/x+e^x
4. Find the absolute maximum and minimum value of f(x)=S0x g(t)dt on the interval [0, 5], where g(t) is given by the graph below. (Remark: The part of the graph over [3, 5] is a quarter circle,...
3. Let f(x)=S0x g(t)dt, 0<=x<=6, where g(t) is given by the graph below. Note: I'm using "S" as the definite integral sign. (a) Find the values x at which f(x) has a local...
2. If f(x)=S0(square root of x) (e-t^2dt), find f'(1). Note: I'm using "S" as the definite integral sign.
1. Use a u-substitution to evaluate the definite integral. (I don't know how to enter the integral sign, so I'm using "S" for the integral sign instead) (a) S02 (x2dx)/(square root...