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Solved in 3 steps with 1 images
- 1 Let f(0)=cose, g(0)=3f(0) and 0 € [0, 2π]. On the interval, determine the new x & y-intercepts of the transformed function. a. The x-intercept is: (π, 0) The y-intercept is: (0, 3) b. The x-intercepts are: (π, 0), (3π, 0) The y-intercept is: (0, 3) X C. The x-intercepts are: , 0), (π, 0) The y-intercept is: (0, 3) d. Π The x-intercept is: (1, 0) The y-intercept is: (0, 3)Q4) Find the Fourier coefficients corresponding for the below function, then answer the following questions. f(x)=x²,0 < x < 2π Is this function (Odd, Even, Neither Odd nor Even, or Odd and Even)? The coefficient (ao)= The coefficient (a.)= IV. The coefficient (ba)= I. II. III.2 Suppose y is a function of x such that y and y(4) = -3. Find y.
- The transformation of a function f(x) into a function g(a) is given by g(a) = Af(Bx + H) + K. where the constants • A vertically scales the function. (negative A reflects the function about the x-axis.) • B horizontally scales the function. (negative B reflects the function about the y-axis.) • H horizontally shifts the function. • K vertically shifts the function. Transform f(x) into g(z) where the transformation is g(a) = f(# – 1) + 3 The function f(E) is shown below in red. Graph the transformed function g(z) by first placing a dot at each end point of the new transformed function and then click on the "line segment" button and connect the two blue dots. (Hint: Transform the function by applying the constants in this order: H, B, A, K.) 2 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -2 -3 -4 -5 Clear All Draw: Dot Line Segment Check Answerf= 1 2 3 4 5 a a b c c find the inverse image f-1 of each element in the codomainConsider the function -1 < x < 0 f(x) = { 12x2 +1 f(x + 2) = f(x) and 0Q5 Suppose that X₁ and X₂ have a joint pdf zero otherwise. f(x₁, x₂) = (2/3)(x₁ + 1), for 0 < x₁ < 1,0 < x₂ < 1, Q5 (i.) Find fx₁ (₁) Q5 (ii.) Find fx₂(x₂) Q5 (iii.) Find P(X₁ < 2X₂ < 3X₁) Q5 (iv.) Are X₁ and X₂ independent? Q5(v.) Find Var (X₂) Q5 (vi.) Find a pdf of X₂/X₁. Q5(vi.) Find P(1/2 < X₂/X₁ < 3/2) using the pdf of X₂/X₁. Q5 (vii.) Find the conditional pdf of X₂ given X₁ = ₁, fx₂|X₁ (x₂|x₁). Q5 (viii.) Find E(X₂|X₁). Q5 (ix.) Find Var(E(X₂|X1)). Q(x.) Find E(Var (X₂|X₁)).show workUse the mapping rule to transform the parent function y=x5 to f(x)= 5/96(x+2)(x-1/2)(x+1)3. The mapping rule involves transforming the y=x5 table of values into a new table of values for f(x). The mapping rule is x/k+d to transform x values, and ay+c to transform y values in the general form y=af(k(x-d))+c. Please include both tables of values for the transformation.SEE MORE QUESTIONS