A sphere fits tightly in a cylinder. The surfac area of the sphere is 100 square inches. Find the volume of the cylinder. Give answer in terms of r.

Q: (iv) The power set P(C) of C by listing down the elements directly.

A:

Q: g: Q→Q defined as g(x) = 7x+16

A:

Q: Which of the following is the estimate of r2 for the root of f (x) = -0.9x2+1.7x + 2.5 using Newton-...

A: Newton Rahoson method is an iterative method and use to find isolated roots of an equation f(x)=0. T...

Q: WRITTEN WORKS #1 PERMUTATIONS A. List down all possible permutations in each of the following items ...

A: We have to find all the possible permutations of given items 1.S,E,T 2.T,E,N 3.T,E,R,M

Q: JD x, t(3lxg-19メーのメ4ニ630 19 Xq -91 Xq - || X, t 22 Kg t 20 Xg t 12 X4 Il X, - 2| Ka -19 xg - 30 Xq -...

A: The given system of equations are:-10X1+31X2-19X3-91X4=630-11X1+22X2+20X3+12X4=61211X1-21X2-19X3-93X...

Q: 13. Fill in the squares using the digits 4, 5, 6, 7, 8, and 9 exactly one time each to make the larg...

A: In this problem, 6 digits are given and we have to make two 3-digit number using those with exactly ...

Q: WORK SPACE: The Jackson Middle School model rocket club drew the model rocket 7 design below. The ro...

A: The formula to calculate the volume of cylinder is given as follows: Volume of cylinder=πr2h

Q: What is the approximate derivative of f(x) = x2e* , using backward-difference approach at %3D x-2 an...

A: The main objective is to calculate the value of the derivative of the function f(x)=x2ex at the poin...

Q: 2) ƒ(t) = 3tan(t) Period: Asymptotes: Intercepts: Even, Odd, or Neither:

A: A function is an equation connecting two variables, For the functions f(t), the variable t is called...

Q: Let p: Hwi win the first round and q: Hwi win the tournament. Write the following statements in symb...

A:

Q: 3. Sketch a graph of a rational function that satisfies the following conditions: f(0) = 0, f(-3) =-...

A: Solution:-

Q: Which is the correct permutation of 5 items taken from a list of 9 distinct objects? 45 15.120 126 5...

A: We have to find permutation to take 5 items from 9 objects.

Q: = U.

A:

Q: Consider the vector field F = p? + yzi+ + In(s* + :² + 1)k „j + In(=* + :² + 1)k 12 + y²" defined on...

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

Q: A population grows according to an exponential growth model, with Po = 70 and P 133 %3D Complete the...

A: Solution:-

Q: Elena was pouring coffee at a constant rate into a mug similar to the one shown in the figure. Count...

A: The cup is wider at the bottom and becomes narrower as we move up till the middle of the cup, from t...

Q: 5 prove graphically (for strictly convex labor/leisure indifference curves) that workers can always ...

A: the framework that economists typically use to analyze labor supply behavior is called the neoclassi...

Q: Evaluate: (4!+2!) ÷ 3!

A:

Q: The following gas stations were cited for irregular dispensation by the Department of Agriculture. W...

A: The gas stations were cited for irregular dispensation by the department of agriculture.   Cheating ...

Q: Write the first 5 terms of the sequences with general terms an below and indicate whether they are c...

A: Given series (i) an=3n+11-2n , (ii) an=(4n+1)3-n , (iii) an=3+(-1)n  and (iv) an=1+(-1)nn4 We have t...

Q: find the solution of this differential equation: xdy − ydx − xy^3 dx − xy^3 lnxdx = 0

A: Given differential equation: xdy−ydx−xy3dx−xy3logx dx=0 y'=yx+(1+log(x))y3

Q: Thelem:-TP PTR har ociva bveof %eI,theu f is Coutivlalse- at Xo CTs thecouvese of thevem triue?why?

A: Questions from continuity and differentiability

Q: How does the graph of f(x)= 3(x- 2)² +1 compare to the graph of g(x)=x ? (1) The graph of f(x) is wi...

A: The graphical solution of the function gives better interpretation.

Q: What is the coefficient of x° in the expansion of (x + 1)14 + x² (x – 1)13?

A:

Q: 5. Show that the function f : (-1,1) → R defined by f(x)= tan () is an homeomorphism.

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Q: Which of the following sets is NOT an empty set? Select one: a. The set of natural numbers less than...

A:

Q: You cannot be both happy and rich. Therefore, you are either not happy, or not rich. Now you do appe...

A: This is a problem of Logic.

Q: Refer to the System of Linear Equations below. 4x1 - X2- X3 = 3 -2x1 +6x2 +X3 = 9 -X1 +x2 + 7x3 = -6...

A:

Q: Let Z be the set of all integers and Q be the set of u rational numbers and R be the set of all real...

A: Given ℤ be set of integers ℚ be the set of all rational numbers and ℝ be the set of all real numbers...

Q: 5. Find the inverse, if it exists, of each of the following: 1 2 0 -2 0 1 -2 1 1 (a) A= 1 0. 3 2 1 1...

A:

Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

A:

Q: Simplify (vZcis (음찌))*(2cjs (-즐))" 증))* 8 5 (2cjs (–

A:

Q: Identify the center and radius of the circle with the following equations then graph the circle. x^2...

A:

Q: -1 -2 -3 -41 3 1 Let A = 1 1. Compute det (A) using the cofactor expansion along the first column.

A: Given matxix  We have to find det(A) by using the cofactor expansion along the first colum. Cofactor...

Q: (1) sin(z²) (sin z)2 Find the residues of at z = 0 and z = .

A: To find the residue of sinz2sinz2 at z=0 and z=π Let fz=sinz2sinz2=sinz2csc2z   

Q: would you prove that the answers to the diophantine equation y^2-x^3=0 are the pairs (n^2,n^3) for a...

A:

Q: Use substitution method to prove step-by-step that (P^Q)^(P = ¬(Q^R))^(S = R) = –¬S.

A: We are asked to prove the following using the substitution method, P∧Q∧P⇒~Q∧R∧S⇒R⇒~S We will show th...

Q: 1. Let U24 = {z E C|224 = 1}. Define £24 = cos () + i sin (5). (a) List all subgroups of U24 and dra...

A: The complete solutions are given below  

Q: Please Find an equation of the tangent line to the curve y=5^x at the point (2,25) . Tangent line: ...

A:

Q: n a b=1

A: Here we will use combinatorial formula  nCr+nCr-1=n+1Cr

Q: Find the first and second quartile, median, and the interquartile range.

A: To find the first and second quartile, median, and the interquartile range of the given data.

Q: • Formulate the problem as an LP. • Write the dual LP. • Derive the units on the dual variables and ...

A:

Q: i. Show z on an Argand diagram ii. Express z in polar form iii. Express z in exponential form

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem,...

Q: 11. Three people (X, Y, Z) are in a room with you. One is a knight (knights always tell the truth), ...

A:

Q: Determine the Laplace Transform of cos(2/3t) cos (V31) Note:

A:

Q: 7. The graph shown is the result of transformations applied to y = x". Determine the equation of thi...

A:

Q: d) A company is offered a contract promising annual net returns of $22,000 for six years. If the com...

A: Solution

Q: 5. Find the inverse, if it exists, of each of the following: 1 2 0 -2 0 1 -2 2 1 1 1 (a) A= 1 0. 3 1...

A:

Q: woshes, five different fit styles, and thr different height options. If two of the options are out o...

A: Introduction: A permutation is a specific arrangement of objects. Set members or elements are arrang...

Q: Explain in a sentence how to use natural deduction proofs to show that two sentences are provably eq...

A: We will use the basic knowledge of mathematical logic in answering the following questions.