Determine all the primes p such that p^2 77 has exactly 5 positive divisors.

Q: Find the equation y = Bo + B₁x of the least-squares line that best fits the given data points.…

A: Method of last squares

Q: Let S be a triangular surface in R³ with vertices at (4,0,0), (0,2,0) and (0,0,8), that is equipped…

A: The given problem is to find the flux of vector field F over the given surface S is the triangular…

Q: 5. A truncated octahedron is a polyhedron with 14 faces, of which 6 are squares and 8 hexagons. How…

A: Given Data: Let us consider the given truncated octahedron is a polyhedron with 14 faces, of which 6…

Q: Using the Convolution Theorem, find f(t) in the form f(t) = A H(t – to)et+D and enter the values of…

A: As per the question we are given the Fourier transform of a function f(t) i.e. F(jω) And we have to…

Q: Find the mass of a thin funnel in the shape of a cone z =√x² + y2, 1 ≤ z ≤ 3, if its density…

A:

Q: Prove that x''' + yul + zm2 = where dashes denote differentiation w.r.t.s. 1 22 + 1 + p" p* -176 402

A:

Q: Rewrite x^12 = 3x + 1 in logarithmic form:

A:

Q: Approximate the double integral of f(x,y)=x+8y over the region R inside the circle (x-3)2+(y-2)² = 1…

A: Given the function fx,y=x+8y over the region R inside the circle x-32+y-22=1 using the partitions…

Q: For the function: g(x) = 1 - || , - 2 ≤ x ≤ 2 Find the fourier transform (0 otherwise)

A:

Q: 4. let an= ( 21-114 + 3 (-1/4+1 if n=34 (-114 if n = 34+1 ü 1-14 i| n=34+2 (2/1+1) (24+3) find I9m…

A:

Q: D. Determine whether each of the following series are absolutely convergent, conditionally…

A:

Q: Bobby likes to hike the trails near his house. On Saturday, he spent 4 hours hiking 8 miles. On…

A: We want to find  number of hours spend by Bobby to hiking the trails on Sunday.

Q: A curve is drawn on a parabolic cylinder so as to cut all the generator. expression for curvature…

A:

Q: x = ( ²3 =2) x -2 3. x' =

A:

Q: Part 1. Test the convergence of the following power series. If convergent, solve for the interval,…

A: Test for the class convergence, using Ratio test.

Q: 12.47. Solve the boundary-value problem J²y at2 if (a) f(x) = 4 a²y dx2¹ 5 sin , y(0, t) = y(5, t) =…

A: The given problem is to solve the given partial differential equation boundary value problem with…

Q: 54. Properties of integrals Suppose f(x) > 0 on [0, 2], f(x) ≤ 0 on [2, 5], ₁² f(x) dx c = 6, and ſ₂…

A:

Q: Given the series: k=0 ( k 1 3 does this series converge or diverge? O converges O diverges If the…

A:

Q: WHAT OBJECTIVE/CONSTRAINTS DO YOU PUT INTO SOLVER?

A: As from the given problem, we have the following rough sketch data as already mentioned.

Q: Given that A is a 3 by 3 matrix and the det(A) = 4. We created a new matrix B from A by switching…

A: Given that A is 3×3 matrix and det(A)= 4

Q: 1. Show that the function f: N 2. Prove that fof-lomiff f is a function from ran ƒ to dom f. 3. Let…

A:

Q: U₁₁+ 40 =0xx "tt 0≤x≤l, t>o

A: To solve the wave equation by separation of variables

Q: Find the arc length parameter along the given curve from the point where t=0 by evaluating the…

A: To find the arc length parameter along a curve, we need to first evaluate the integral of the…

Q: Assume y=ex cos(3x) is one of the solutions of DE (3)-3y" + 7y-5y=0.Then a + B is:

A:

Q: Which of the following ARE NOT terms of the sequence defined by the formula a =n²+1, neN. n a = 17 5…

A:

Q: 1. Let m € Z'. Show that = 721 is an equivalence relation on Z.

A: For m∈ℤ+, The given relation is congruence modulo m. To Prove: the relation is an equivalence…

Q: From the list below select the domain and range of the function that assigns to each pair of…

A: As described, the function f is given as       f(x, y) = max{x, y} Where x and y are positive…

Q: Let 1, Z₁, Z2, Z3, ..., Zn-1 be the nth roots of unity. Then prove that (1 – z₁)(1 – z₂) ... (1-z-1)…

A:

Q: 59-66. Definite integrals from graphs The figure shows the areas of regions bounded by the graph of…

A:

Q: 1. Give the general solution of (3D5 – 13D4 +34D³ — 46D² +27D-5)y = 0

A:

Q: x"+ 2x'+ 5x = - - 20 8(1-2) Initial Conditions: x (0) = 10, x'(0) = -2 8 = the Dirac Delta function…

A: The given problem is to solve the given initial value problem with initial conditions and also to…

Q: 7. Find the area of the region enclosed by r = 2 cos 0 and r = 2 sin 0. (Find graph from book). 8.…

A:

Q: IV. Determine the non-trivial solutions of the system of homogeneous equation, if it exists: x₁ +…

A:

Q: 7. (Chain Rule): Let ƒ : [a, b] → R, g : [c, d] → R, ƒ([a, b]) ≤ [c, d], and xo = [a, b]. If f is…

A:

Q: Let f(x, y) = sin (x - y) [x] + [y] ' 0, |x | + (x, y)

A:

Q: 8) Consider the following set of data: 13 7 19 46 25 45 14 THE (There are 28 data values) 10 8 6 23…

A:

Q: 3. Solve (2 + 3x)² + 3(2 + 3x) -36y= ax² + bx + 1 + 2 sin ln(2 + 3x). dx²

A:

Q: 5.18 The following equations arise in the analysis of nonlinear equations in population biology…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Define T by T: Pn → Pn-k by T(p) = dk p(x) dxk 9 where P is the set of all polynomials whose degree…

A:

Q: 1 Consider [G, ], G = {a,b,c}, and operation () defined by an operation table below: a b C a b a b a…

A:

Q: Problem: Using the language of differential forms, find the value of the integral of the vector…

A: Here, we need to find the integral of the vector field          A=2+z2∂x+y2∂y+2xz∂z along the curve…

Q: Use a graphing calculator to find the first 10 terms of the sequence an its 9th term is its 10th…

A:

Q: A waveform is periodic with period 2π and over one cycle is defined by 6 -π<t≤0 0 0<t≤π/2. -2…

A:

Q: 个 Find dw when r = 5 and s= -5 if w=(x+y+z)², x=r-s, y = cos (r+s), z = sin (r+s). aw ər r = 5₁ s=…

A:

Q: Find the rest of 777 in the division by 3864

A: Solution :- Rest of 777 in the division by 3864First calculate 77=823543Now to find the rest of…

Q: For each series, determine whether it converges absolutely, converges conditionally, or diverges. ∞…

A: Test for absolute converges

Q: Evaluate the following integral by first converting to an integral in cylindrical coordinates √5…

A: Given, ∫05∫-5-x20∫x2+y2-119-3x2-3y2 (2x-3y) dz dy dx We have to convert an integral in cylindrical…

Q: At time t=0, a particle is located at the point (6,3,5). It travels in a straight line to the point…

A:

Q: Find the sum of the series: n=0 x³n-2 n!

A: The given problem is to find the sum of the given series x3n-2 /n! from n=0 to infinity.

Q: Define T by T: Pn → R by T(p) = =S² p(x) dx, where P is the set of all polynomials whose degree less…

A: