by3 | (3b? – x²)(1 – x³V3)/3b² – x² dx - -

Q: A parametrization of all the points on the sphere a + y² + z? = 1 that are such that y > 0 is given ...

A: Find the parametrization of points on sphere x2+y2+z2=1, where y≥0. The equation x2+y2+z2=12 represe...

Q: The figure below shows various gradient vectors of a function f. Determine whether each of the follo...

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Q: Given a function f (x). Suppose that, the Newton's interpolating polynomial P2(x) of f (x) at the po...

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Q: Provide an equation of one of the common functions with multiple transformations. For example, f(x) ...

A: Consider the function as fx=x2 it is a quadratic function whose domain is -∞, ∞ and range is [0, ∞) ...

Q: Point is (lっ) Fix, ノ) = 3x what is the gradient?

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Q: I will accept a package whose combined height and perimeter of the base are at most 140 inches. Use ...

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Q: 3) - 1+ dr dr

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: (a) Prove that there exists a function f : Z→ Z so that f is one-to-one but f is not onto. (b) Prove...

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Q: (1) Convert to base 10: 1101001two b) 3E5twelve c) 1773eight d) 3124 five

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Q: Consider the function h : Z xZ → Z× Z defined by h(x, у) 3D (2ху, 7x — Зу). (a) Is h injective? (b) ...

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Q: 1. Let a force F be given by F = Fo(i+ 4j + 8k) where Fo is a constant. Determine the scalar compone...

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Q: + z2 x for all (x, y, z j+ k, then the dz ▼ f) at (1, 1, 1) is

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Q: A thermometer reading 21°C is brought into an oven that has been preheated to a constant temperature...

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Q: fhe coefpicient an fiderivative what? rin (2x ) in the fre of of F (A CoS is ン

A: We have to find the coefficient of sin 2x for given problem.

Q: 30% of 50 is what part of 45?

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Q: Let V = (image) the space of symmetric real 2×2 matrices. Consider T : V → R2 defined by T(image). O...

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Q: 3. Consider the following system of linear equations: x+ 2y – z = -1 2.x + 2y + z = 1 3x + 5y – 2z =...

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Q: () ×-(; )» 1 2 K1 = X' =

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Q: Given f (x)=sec.r-V2 tan x , find f' (). -12 Your answer

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Q: Write two common denominators you could use for 1/6 and 2/3

A: The one of common denominators of two fraction is the LCM of the denominators of the numbers. The nu...

Q: Jon and his mom have been saving recycling items for months, and today they traded them in. They mad...

A: They made $42 on cans, $19 on glass bottles, and $32 on plastic bottles 

Q: 2. (a) Express -2+t+t +r' as a linear combination of 1-t, 1+r, and 1+1- or show that it cannot be do...

A: We have to write in the linear combination.

Q: Let A = {x | 5x + 1 E Q} and B be the set of all even integers. Prove that A and B have the same car...

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Q: What is the formula that would be used to calculate the trapezoid approximation of ST 2s in x dx usi...

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Q: 3) Show that the irreducible polynomials in R[T] are the following: (a) Linear polynomials, i.e. pol...

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Q: Consider the function g : ZxZ → Z × Z defined by g(x, y) = (4xy, 9x + 5y). (a) Is g injective? (b) I...

A: (a) we see (5, 0) and (0, 9) are different elements in ZxZ.      But, g(5, 0) = (4.5.0, 9.5+5.0) = (...

Q: 3. How many integer solutions are there to the equa- tion X1 + x2 + x3 = 9, with x; > 0? How many so...

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Q: n method, fim ation, assum rrect unto ?

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Q: Use the error estimate for alternating series to find the minimum number of terms required to 10-4: ...

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Q: Evaluate 36 +x² +y dA, T where D = {(x, y) : x > 0, y 2 0, x2 +y < 64}. O 61 49 1036 244 O 392

A: The given problem is to evaluate the given double integral of given function over the given domain D...

Q: The marked price of a t-shirt is Php 400. If a 15% discount is given for any amount in excess of Php...

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Q: Evaluate p dA, where Dis the shaded part inside the semicircle of radius 2 in the figure. y = 4 (Use...

A: Given : ∫∫D5yx  dA , Radius =2 .

Q: Find a primitive root of 29 Solve x6 = 4 (mod 29)

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Q: SOLVE FOR THE PARTICULAR SOLUTION of the differential equation: dy a yax (1+) where a and b are cons...

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Q: ynomials with different degrees but the same characteristics: crosses the x-axis at x = 8 touches ...

A: In the given question, the concept of the polynomial is applied. Polynomial The term "polynomial" re...

Q: Find the inverse Laplace transforms of the following using the second shift theorem. Note: Write "H(...

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Q: A car sales agent sold a car for P280,000 and he received a commission of P35,000. His rate of commi...

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Q: • Consider the (nonlinear) initial value problem =-2y. y(0) = 9% • Does it have a solution for a) 36...

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Q: Consider the function h : Z x Z → Z ×Z defined by h(x, у) — (2ху, 7x — Зу). (a) Is h injective? (b) ...

A: We have to check whether given function is injective, surjective and bijective.

Q: My dad has 19 oak and maple boards from the lumber yard. Each oak board is 6 centimeters thick. Each...

A: Let, x = no. of oak boards        y = no. of maple boards Then,     Total number of boards = x+y.   ...

Q: 10x? Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = an...

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Q: Consider the initial value problem: y" – 2y' + 10 y = 0 y (0) = 0, y' (0) = 2 %3D Which of the follo...

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Q: Consider three different classes at a small college; a mathematics class with 32 students, an accoun...

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Q: 4) Let F be a field. The derivation f' (T) € F[T] of a polynomial f(T) E a; · Ti e F[T] is defined b...

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Q: Consider the differential equation: 1 1+e¯* What is the general solution? y" – 3y' + 2y = : Oy = [c ...

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Q: If L{f(t)} = F(s) 3(s+3) and f(0.5) is s2+6s+8 e + 1 e2 (). given by K( : then find the value of K

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Q: Find a formula in terms of k for the entries of AK, where A is the diagonalizable matrix below, and ...

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Q: 10. Consider the plane 2x - 3y+4z 0. Find a basis B of this plane such that (B = for ū =

A: Solution:-

Q: 1. Solve the given IVP: у(@ + 8у" + 16у %3D 0; у(0) 3 — 1, У (0) %3 5, у"(0) — —8, у" (0) — — 28.

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Q: Determine whether the improper integral converges or diverges. In bxl -dx A Converges B Diverges

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