4. A sphere is tightly enclosed in a cylinder. If the height of the cylinder is 12 inches, what is the surface area of the sphere? Leave answer in terms of t. square inches

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A: The volume is the measure of space occupied by a closed surface. In this problem, the closed surface...

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A: Given, f(x, y, z)=x+2 y-2 zSubjubed to the constraintg(x,y,z)=x2+y2+z2-9=0The gradient vector of f&a...

Q: Find the Laplace Transform of the following functions f(t) =t sinh( at) f (t) = 2te'

A: To find- Find the Laplace Transform of the following functions ft = tsinhat ft = 2tet

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A:

Q: In the signal-flow graph shown, the number of forward paths is: R(s) C(s) Hi H2 Select one: а. None ...

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

Q: Which one of the following correspond to statement "Every comedian is funny" where C(X) is "x is com...

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Q: 1. Let U24 = {z e C|224 = 1}. Define §24 = cos () + i sin () %3D (a) List all subgroups of U24 and d...

A: The given question is related with group theory. Given that,                 U24 = z∈ℂ | z24 = 1. De...

Q: Estimate the value of f2 (1 – x-4x + 2x) da using 4- segment Simpson's 1/3 Rule. O 1144.5 O 2146.7 O...

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Q: 10 13 (p). (d) 16 (b) (ii) i)

A:

Q: ve that the are lengh - loj secx from

A: Introduction: The formula for the arc length for the curve y=f(x) from a to b is given by, L=∫ab1+(f...

Q: Easy multiple choice, use attached photo to solve. Thank you! d>a>c>b is incorrect. I will rate and...

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Q: (mp + mp)V = (mẸ + mp)V¢cOS & = mf(V)F + mp(Viz)p = mgVg COs0 + mpVp (mp + mp)Vy = -(mp + mp)V¢sin o...

A: From the given equations we have,mF+mPvfx=mF+mPvfcos∅       ...........(1)mF+mPvfy=-mF+mPvfsin∅     ...

Q: (5 + 2/3) 2 + 13 Without using a calculator, express in the form p + q/3 , where p and q are integer...

A:

Q: Find the values of for which :=,0) and": =(a.1) are 4a-4 linearly independent in *".

A: To find the values of a for which the below vectors are linearly independent in R2. v1=4a−4, av2=a, ...

Q: 2.2 Julia needs to make 500 hamburgers for a school function. Hamburger patties are sold in packets ...

A: Number of hamburgers needed by Julia = 500And one packet of hamburger patties contains 12 hamburgers

Q: Simplify the following Boolean expression using Boolean algebra laws: (x’(x’+y’))’ + y’x

A: We have,x'x'+y''+y'x=x''+y'x              By the absorption lawx'=x, y'=y then, x(x+y)=x

Q: The exponential form of 2 + 2V3i is Select one: none 4e 4e S 4e

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Q: 6. Advertising revenue for newspapers in the United States for the years 1980 through 1999 is approx...

A: The revenue from the newspaper is a function of time. The expression for the revenue in terms of tim...

Q: 1. A primitive Pythagorean triple is an ordered tripe of integers (x, y, z) such that x² + y? = z?, ...

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: Maclaurin series for f(x) = e¯3, or the series. Show your work. te e¯§ to five terms. What is the ur...

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Q: the equation y = x - 5, (a) create a table with at least three ordered pairs that are | (b) graph th...

A: In this question, the concept of the graph is applied. Graph The graph of a function is the collecti...

Q: 2.1 Sibu works part time at U-save store. He earns R15 per hour. 2.1.1 If he works 9 hours per day f...

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Q: What is an equation?

A: In mathematics, there are many different terms used. Some of the basic terms are coefficient, variab...

Q: 1.1 Use a calculator to calculate the following. Write your answer using the rounding instruction wi...

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Q: If inflation causes the cost of automobiles to increase by 3.5% each year, what should a car cost to...

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Q: 2 If sultana grapes cost R2,40 per kilogram, how much will 9 kg cost?

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Q: 2. Consider the following directional field to a differential equation. (a) On the above picture, sk...

A: Remark: A slope field of a differential equation is a visual representation of a differential equati...

Q: Note: m=2 n=8 Answer the following questions a. Simplify the following polynomial and answer the que...

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Q: A variable electric current is given by i = t2 - 7t + 12,  where t is in seconds. At what time is th...

A: Given  A variable electric current is given by i =t2-7t+12 we have to find the time at which current...

Q: QUESTION 1 Let f(x,y) = 3xy. Find the directional derivative of f at the point (1,2) in the directio...

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Q: of the angles

A: the angles are calculated as follows y=49°  Reason : Vertically opposite angles  

Q: Evaluate (p → q) → (r→ q) using the table below: T. F T F T F F F T TTTFFTFT O TTTFTFFT O TTTTFTFT T...

A: The given problem is to find the truth values of the given compound preposition  (p-&gt;q)&lt;-&gt;(...

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Q: a) Write The Green's Theorem in the plane relating double integrals and line integrals. (Please, don...

A: We will use basic knowledge of multivariate calculus and vector calculus to answer this question.

Q: Evaluate the given function ſ cos²xsin³dx cos$x а. cos³x + C 5 cos³x cos"x cos3 + C 3 b.- cosx с. co...

A: Solution

Q: 1. Find Solution using Newton's Divided Difference Interpolation (x = 301)? f(x) 300 2.4771 304 2.48...

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

Q: Find J, ()dx Chint:let Z=Jx)

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Q: Let y = - ty + 0.ly and y(0) = 0.72. Use Euler's method to find approximate values of the solution o...

A: Given y'=-ty+0.1y3 and y(0)=0.72 We have to use Euler's method to find approximate values at t=0.5,1...

Q: Discussion 6.1 Runge - Kutta Methods Given y = , y (0) = 1, h = 0.5. Find y (2) using the fourth-ord...

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Q: The line models the temperature on a certain winter day since sunrise. What is the y-intercept of th...

A: it is known that  equation of line  y=mx+c at x=0 , y=3 using equation of line  3=c

Q: Let f(x, y) = x sin ry. Find: fyy (x, y) fyz(x, y)

A: f(x,y)=xsinxyfx=sinxy+xycosxyfyx=xcosxy+x(cosxy-xysinxy)=2xcosxy-x2ysinxyfy=x2cosxyfyy=-x3sinxy

Q: f(x)

A:

Q: (e) Decide if the following arguments are valid or invalid. State the Rule of Inference or fallacy u...

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Q: Suppose the following data points are generated by a smooth function f(x): -1 -2/3 -1/3 0. 1/3 2/3 1...

A: Simpson's rule states that:∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-an...

Q: What is the approximate value of the first derivative of f(x)--0.1x-0. 15x-0.5x -0.25x-1.2 at x-0.75...

A: The given problem is to find the approximate value of the first derivative of the given function at ...

Q: What lump sum should be deposited in an account that will earn at an annual rate of 8%, compounded q...

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Q: 1. Find one real root of In(x*) = 0.70 using five iterations of the Bisection Method on the interval...

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Q: Solve the 2nd order linear differential equation y" + y' + 10y = x

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Q: Questions: (2x +5 if x s 2 (i) S(x) = ,c =2 4x +1 if x > 2 [3x - 1 if x 1 (ii) 4 if 2.x if 3x if x ...

A: We will use basic knowledge of functions and continuity of functions to answer each and every subpar...

Q: a) Use the inverse of a matrix to solve the linear system: X1 - X2 - X3 = 5 X2 + x3 = -1 . (x1 – 2x2...

A: Since there are multiple question , we will solve the first one, post the question again by mentioni...