e sum. (3k2 + 5k) - 3 Σ k2 k = 3 k = 3

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A: Given data is gathered by Purok A city High school Administration regarding the number of Grade 7…

Q: Cadmium, a heavy metal, is toxic to animals. (The chemical abbreviation fo rooms, however, are able…

A: Given data: X 0.24 0.59 0.62 0.16 0.77 1.33 0.92 0.19 0.33 0.25 0.59 0.32…

Q: Verify the identity. (sin(t) + cos(t))² sin(t) cos(t) sec(t) csc(t) = 2 +

A: sin(t)+cos(t)2sin(t) cos(t)=2+sec(t)csc(t)

Q: Find the radius of convergence and interval of convergence of the series. 00 (8n)! n=0 R = I =? v ?…

A: Given series is

Q: cos49-sin*0 2. = 1– tan20 cos²0

A:

Q: Find an integer a such that a 400 = 1(mod 3911).

A:

Q: 1- sec e 5) tan e tan 0 -2csc 0 1- sec e

A: We will solve LHS and get RHS.

Q: the following situation, find the mean and standard deviation of the population. List all samples…

A: See the Excel output

Q: 3. In this problem we will find the mass of the tetrahedron in the first octant bounded by the…

A: Given the tetrahedron is boubed by the coordinate planes x=0,y=0,z=0,and the plane x+2y+3z=6, the…

Q: VERIFY THE IDENTITY

A:

Q: Refer to image

A: Solution

Q: Find and classify the critical points of f(x, y) = (y – 2)x² – y². Justify your answers.

A: We use second order partial derivative test to find out maximum, minimum and saddle point

Q: Show that if n is a positive integer, then n is even if and only if 7n + 4 is even.

A: Given: Show that if n is a positive integer, then n is even if and only if 7n + 4 is even

Q: 5. Find the arc length of one loop (petal) of the polar rose r = 6 sin(40) . How did you decide on…

A: We need to find the arc length of any one of the 8 petals from θ1 to θ2 L=∫θ1θ2r2+drdθ2dθ Where…

Q: Prove that gcd(a + b, a - b) = gcd(2a, a – b) = gcd(a + b, 2b). Show your work! Justify each step.

A:

Q: Let A and B be sets. The union of A and B is A U B = {x|x E A V x € B}. The intersection of A and 3…

A:

Q: 2x + 3y Find -dA, where R is the parallelogram enclosed by the lines 4x – 4y -- 2x + 3y = 0, 2x + 3y…

A: