Show the surface area and volume of a sphere with radius ris 47r² and ¹³ πι respectively.

Q: Solve the given initial value problem. y' +8y' + 20y=0; y(0) = 4, y'(0) = -15 y(t) =

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Q: > For y, polynomial 1 », — D² - 2₂·[*²] Ур

A: To find: the value of  1D2-2x2

Q: Q(x) v Q(y)) zP(x, y, z) an R(₂)

A: FOL will be First Order Logic.

Q: Q1: Answer all points a) Calculate ( 23% of 15.34 () 10 % of 15.34.

A: To calculate the amount of percentage of the given number.

Q: natrix. Suppose )₁ are given vect the eigen values

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Q: Find the general solution of the differential equation y" — 16y' + 73y = 0. NOTE: Use ci and ca as…

A: Please find the solution in next step

Q: Part 2. Find the Standard Equation 4. parabola with vertex at (5,4) and focus at (-3,4)

A: The vertex is 5,4 and the focus is -3,4 Therefore the is horizontal parabola with general equation…

Q: Evaluate Š dx

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Q: Let N be the second last digit of your student number, so N = 3. Use the Taylor polynomial of Q2 to…

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Q: 4. Express each of these statements using predicates, quantifiers, logical connectives, and…

A: To find- Express each of these statements using predicates, quantifiers, logical connectives, and…

Q: 2. A 6-mC (millicoulomb) positive charge is located in vacuum at P(3,-2,-4), and a 5-uC…

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Q: Suppose that we start with the sequence 1 1 1 1 1 1 '2'4'8'16'32'64' If we denote the above sequence…

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Q: Find the solution √√y³(x-2) (5xy' +4y)=2

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Q: 1. What is the result of the following arithmetic logic operation? 128.25+225.125 0101100001.011…

A: The result of the arithmetic logic operation is determined as shown below.

Q: Taylor series for the function below ends ? with (x) to the power 2 f(x)=x² + x² +1, a = -2

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Q: Find the general solution of the differential equation y" + y = 7 sin(2t) + 5t cos(2t). NOTE: Use c₁…

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Q: se Euler's Method with h=0.1 to approximate the solution to the following initial value problem on…

A: The given differential equation is                        y'=9x2-yx-y2, y2=-32 To find: solution of…

Q: -te-zusin(-u) U c{s:² 0 du

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Q: * :use convergence test on the function an = (1-1)" with nth root test n B) diverges C) equals 1 A)…

A: Solution:

Q: cos x is y(x)=tan (C+ sinx). With the initial condition y(0)=0, the solution y(x)=tan (sin x) is…

A: The differential equation given is as follows: dydx=1+y2cosx Given that with the initial condition…

Q: Q1: Answer all points a) Calculate (i) 23% of 15.34 (ii) 10 % of 15.34. b) A salary of £5 240 is to…

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Q: Solve the following differential equations of (x+3x³ sin y) dx + (x* cos y) dy = 0

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: 4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite…

A: To Find: The value of a for which the limit limx→0sin(ax)-sin(x)-xx3 is finite and then evaluate the…

Q: The integral (ydx - xdy) is evaluated along the circle x² + y² - traversed in counter clockwise…

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Q: Find the quadratic Lagrange polynomial for the data in the table below, and use it to compute…

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Q: Match the given differential equation with one or more of the solutions. (Select all that apply.) y'…

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Q: The partial derivative of f(x, y) with respect to y at the point (x,y) is f(x+h,y)-f(x,y) h B f(x…

A: We have to Write the Partial derivative of f(x, y) with respect to y at the point (x0,y0).

Q: The approximate rate of change in the number (in billions) of monthly text messages is given by the…

A: Solution: Given, The rate of change in the number of monthly text messages is given by the equation,…

Q: An airplane flies at an altitude of  y = 4  miles toward a point directly over an observer (see…

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Q: R3 → R3   be the linear transformation that projects u onto   v = (6, −1, 1).Find a basis for…

A: We have given that ,  T : ℝ3 → ℝ3  be a linear transformation that projects u onto v. Let , u = x ,…

Q: Solve for the two positive values of x that satisfies the equation ex = 3x² Using the following…

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Q: 8. Hillary sells cosmetics from her part-time home-based business. She receives a straight…

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Q: Find the values of af /ax and af lay at the point (4, 5) if f(x,y)=x² + 3xy + y -1

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Q: P problem, there us linear

A: The assumptions are given as,

Q: open disk 12 e open disk |w+1 − 3i| < 5. + 2] < I under the transic

A: Given open disk z⊝+1+i&lt;1. transformation as, w=3-4iz+6+2iT. To show the image of the open disk1…

Q: Find the particular d²y equation dx² solution of the differential 4dy + 4y e2x = dx x²

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Q: Part 2. Find the Standard Equation 2. circle with center at (4,-5), diameter is 6 2

A: Solution: Given center (h,k) = (4,-5) and d=6

Q: Solve the given initial value problem. w"-6w' +6w=0; w(0) = 0, w'(0) = 1 w(t) =

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Q: 6. Let f(r) be a function such that: SED FED FE -1) | f'(-1) | ƒ"(-1) | f""(-1) f(-1) (5) (-1) f)…

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Q: Prove that the union of any number of open sets in Ris open.

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

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Q: A page printed must contain 60sq. cm. of printed material. There are to be margins of 5cm. on either…

A: Let us consider the length be l cm and width be b cm of a rectangle Thus, the area of the rectangle…

Q: 14. The expression "a mod b" is used to mean "the remainder obtained when a is divided by b". Which…

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Q: Let (x, eA) be a measurable space, £: X (-∞, w) and 9:* (-∞0, ∞o) are measurable. Prove that the…

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Q: Use the matrix capabilities of a graphing utility to write the augmented matrix corresponding to the…

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Q: Solve for the only positive value of x that satisfies the equation x-1= 1 == (1 - e-x) Using the…

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Q: a) Use Excel Plot the function f(x)=2x-1.75x² +1.1x³ -0.25x* for x from -2 to 3 at a step size of…

A: As per the question we are given the function : f(x) = 2x - 1.75x2 + 1.1x3 - 0.25x4 And we have to…

Q: Find the solution of the initial value problem y" - 2y' - 3y = 21te²t, y(0) = 4, y'(0) = 0. NOTE:…

A: We have given a differential equation ,  y'' - 2y' - 3y = 21te2t   with initial conditions y0 = 4  ,…

Q: Solve the following system: x'₁ (t) = −x₁ (t) + 2x2 (t) + 2x3 (t) — 2 x' (t) = 2x₁ (t) + 2x2 (t) +…

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