Find dy/dx when e2y = 6x² + 2y². 1. 3. 4. dy dx dy dx dx dy dr dy dx || || || || 2x 3x² + y² + y 3x 3x² + y²-y 3x 3x²+2y² - 2y 3x 3x² + y² + y 2x 3x² + y²-y

Q: The average classroom teacher's salary is given by f(x) = 975.06x + 32,906.42, where x is the number…

A: Step 1:Step 2:

Q: For any real number b > 1, and any real numbers x True False log, (x - y) = > 0 and y> 0, it must be…

A:

Q: Find  product.  (7x + 4y)(7x - 4y)

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Q: Suppose that the functions g and h are defined for all real numbers x as follows. g(x) = 3x+4…

A:

Q: f(x) = x2 + 1 and g(x) = x - 3, find (a) (f + g)(x), (b) (f - g)(x), (c) (f * g)(x), (d) (f/g)(x),…

A: We have to find domain of function

Q: Given f(x) = 23 10x, evaluate the following. (a) (f of-)(42) = (b) (f o f)(40) = %3D

A: First we will calculate the inverse of f. Then see that the composition of f and f inverse works…

Q: In each case, select the function that dominates the other as x → ∞o? (a) O 50x² (b) 0.02x³ O In(x +…

A: limx→∞0.02x350x2=limx→∞0.02x50=∞    Therefore, 0.02x3, will dominates over 50x2

Q: Let X1, X2, X3 and X4 be a random sample from population with pdf X, 0 < x < 1 fx(x) = |0,…

A: Given information: The probability distribution function is fXx=x,    0&lt;x&lt;10,    otherwise.

Q: write down the power seires for (x)(f(x))

A:

Q: If f(x) = x + 8 and g(x) = x - 8, (a) f(g(x)) %3D (b) g(f(x)): %3D (c) Thus g(x) is called an…

A: Given,           fx=x+8           gx=x-8

Q: Let X be a random variable from the Pareto distribution with probability density function {(=10) = {…

A: Solution

Q: If h(x)= |x-4|+1 and k(x)=x2+3, which intervals contain a value of x for h(x)=k(x)?

A: Solve equation

Q: If E[X] = 5 and Var(X) = 4, then E[(4 + 5X)²] = [] and Var(3+5X) 0

A: Given that :E(X)= 5 and Var( X )=4 .For a random variable X…

Q: If f(x) = x + 7 and g(æ) = x - 7, %3D %3D (a) f(g(x)) %3D (b) g(f(x)) = (c) Thus g(x) is called an…

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Q: If E[X 4 and Var(X) 1, then E(1 + 5X)²] - and Var(2 + 4X)

A: GivenE(X)=4Var(X)=1

Q: Evaluate each of the following expressions using the given table of values 2 (a) f(g(-1)) 1 2 (a)…

A: x-2-1012f(x)-10-21-1g(x)210-10The values of different functions at different inputs are given

Q: What happens to this base function and why? a(x)= x2

A: The function a(x)=x2 is a basic quadratic function. In this function:- x is the input variable.- x2…

Q: [cx)= (x+1) 「cx)-(x_)[cxー1) (xー1)「cx-1) [(-x)= [(1-x) |

A: Γ(x)=∫0∞tx-1e-tdt  for x&gt;0Γ(x+1)=∫0∞txe-tdt =-txe-t0∞+x∫0∞tx-1e-tdt=xΓ(x)⇒Γ(x)=Γ(x+1)x Now,…

Q: Consider two functions f(x) and g(x), and such that fˆ−1 (x) = g(x) Must it also be true that…

A: To explain that if f-1x=gx then g-1x=fx is true or not.