Use the inner product (f,g) = f(x)g(x) dx in the vector space Cº [0, 1] of continuous functions on the domain [0, 1] to find the orthogonal projection of f(x) = 2x² - 4 onto the subsp g(x) = x and h(x) = 1. (Caution: x and 1 do not form an orthogonal basis of V.) projy(f) =

Q: Given: j || k || 1 5. AC = 9; BC = 6; DF = 15 7. BC = x + 2; BA = 9; EF = x + 3; ED = 12 EF = L; BC…

A: According to question,Given lines j, k and l are parallel to each other.

Q: Exercise #1: Lyapunov Inequality. If X is a measurable function on a probability space (N,F,P) and…

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Q: Consider the following. X lim X-0 Create a table of values for the function. (Round your answers to…

A: Consider limx→∞sin2xxTo estimate the limit and complete the given table.

Q: Compute Quartiles, 7th decile and 65th percentile Groups F 10-14 15-19 20-24 25-29 30-34 5 12 30 6.…

A: Decile: The formula of Decile in the grouped data is, Di=L+h+f×i×N10-C Where, i is the ith Decile, L…

Q: 3. Consider the function f(x, y) = −4+ 6x² + 3y² and point P(-1,-2). On the grid, label P and graph…

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Q: dy as a function of x. Write the function in the form y = f(u) and u= g(x). Then find y = (- 2x +8)…

A: We know that ,  if y = f ( u ) and u = g ( x )  Then  dy / dx = f ' ( u ) • g ' ( x )

Q: The intersection points between the curves y- z and y = g(z) are z =0 and z = 4, as shown in the…

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Q: please solve this

A: Compute Divergence of F as follows.

Q: Find the volume of the parallelepiped determined by the vectors a =i+3j-k, b= 4i+j-2k and c= - =…

A: a=i+3j-k,  b=4i+j-2k  &  c=-2j+5k

Q: Evaluate (x2x+Idx

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Q: Radio direction finders are placed at points A and B, which are 4.91 mi apart on an east-west line,…

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Q: What do you notice? What do you wonder? Form f(x) = (x + 5)(x + 1)(x – 3) YA g(x) = (x + 5Yx + 1)(x…

A: We can explain the graphs as below.

Q: Which of the following base-2 numbers represents the difference between the base-2 numbers 1010100…

A: We have to find  difference between 1010100 and 1000101

Q: Use this digraph for the next 2 problems. T₁ (3) T4 (12) T₂ (9) T3 (11) T5 (5) [X] T6 (8) T7(10) 3.…

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Q: Find the average rate of change of the function graphed over the interval 10sxs50. Compare it to the…

A: The average rate of change of function f between two points x=a and x=b is given by the formula,…

Q: Given AB is tangent to OC at point B, what is the circunference of OC? (2r – 1) A (r+ 1) r

A: Consider the given: The tangent touches the circle at the point of contact and it is perpendicular…

Q: A builder uses the function g defined by g(2) = 80x + 10000 to estimate the cost g(x), in dollars,…

A: Given:- A builder uses the function g defined by g(x) = 80x+10000 to estimate the cost g(x), in…

Q: Find the volume of the solid formed by rotating the region bounded by y-3z+2, y- 3z+4, y - -3z+38…

A: Note: Dear subscriber, the third part of the solution is not done because of the complexity of the…

Q: Suppose 232 subjects are treated with a drug that is used to treat pain and 51 of them developed…

A: The question is about hypo. testing Given : No. of subjects are treated with drug ( n ) = 232 No. of…