Find the volume of a cone with a base diameter of 8 ft and a height of 8 ft. Write the exact volume in terms of t, and be sure to include the correct unit in your ans

Q: Define the sequence {b,, } as follows: bo = 4 b, = b,-1 + 2n + 3 for n > 1 Use induction to prove…

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Q: 4. Mike wants to invest money every month for 30 years. He would like to have $500000 at the end of…

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Q: 2. Given the matrix A below, [1 1 0 11 0 2 1 2 A = 2 10 1 L2 0 1 4- solve for det inv A.

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Q: Si Vzdz = 14/3 14/3+can unknown constant 16/3 not calculable*

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Q: Find the Inverse Laplace Transform. Y (s) (s-5) (s² -6s +25) O est cos(4t) – e3t sin(4t) O est…

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Q: Suppose that Player M and Player N are playing a tennis match in which the first player to win three…

A: 24ways

Q: Find the interval of convergence. Σ (x + 6)" (n In(n))2 n32 (Use symbolic notation and fractions…

A: We use the ratio test to evaluate the interval of convergence of the given series. Please find…

Q: QUESTION 3 Find the oder of the indicated element in indicated quotient group. a) 2 + (8)in Z12/ (8)…

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Q: R7. j. Find the complete interval of convergence, including the endpoints. (-1)"(x+ 1)" ii. n-1 n 2…

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Q: ) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1 – j2) 2 - j3 5z 1+j2…

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Q: Use Trapezoidal rule with 5 subintervals and 8 subintervals to find an approximation of x3V-2x4 +…

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Q: 4. State the restrictions and solve: log2 (x2 + 6) = 1+ log2(2x + 1)

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Q: (1/n) def ine Inx = :| 1/t dt and In(e) = 1. Prove e = lim (1+1/n)" by using In æ de and integral's…

A: Given ∫1n+11nlnxdx. To prove limn→∞1+1nn=e. The mean value theorem of the integral calculus: If a…

Q: Each of the given sets below is not a subspace because at least one of the 3 properties of being a…

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Q: If f(x) = mx where m is a constant then what can you say about - (2) dr ? It is positive We cannot…

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Q: Two numbers when multiplied equals 63. If one number is x and the other number is 2 less than x.…

A: Given Two numbers when multiplied equals 63.  If one number is x and the other number is 2 less than…

Q: G14. Draw two 'different' graphs with five vertices and degrees {1, 2, 2, 2, 3}.

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Q: 2. Given the matrix A below, 1 10 1 0 2 1 2 A = 2 10 1 L2 0 1 4 solve for det inv A.

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Q: Let X be a Banach space an {xn} be a sequence in. X. Prove that if {xn} converges in norm in X, then…

A: Given: Suppose X is a Banach space and xn→x in X. To prove: xn→x weakly

Q: Determine the last three digits of 202220232024 + 20072002 + 2019

A: ............ 684 So last three digits is 684

Q: Find the volume of the solid generated when the area bounded by the curve y = vx, the y-axis, and…

A: Volume is the measure of the amount of space occupied by a closed surface. It is measured in terms…

Q: A artist donates 4 different paintings anf 5 different vases in a museume The donations will be…

A: The solution to the question is attached in the images below.

Q: 2. You did not get an A in the final exam only if you do not get an A in this class. 3. Sam is not…

A: We have to write Converse,  inverse and contrapositive statement of conditional statement.

Q: What will be the constant in the Inverse Laplace Transform of ? s(s3-8) 3 O 1/8 O 3/8 O 1/4 O -3/8

A: We have to find the constant part in the inverse Laplace transform.

Q: Find the area of the surface. The part of the paraboloid z = 1 – x2 - y? that lies above the plane z…

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Q: 16. Fishing Quadrilaterals are formed on the side of this fishing tackle box by the adjustable…

A: To explain: Why the shelves of a fishing tackle box are always parallel to each other no matter what…

Q: Consider 2 balls are to be chosen randomly from an urn containing 8 red balls and 4 white balls…

A: Given Urn contains red balls = 8 and white balls = 4

Q: A brewery produces regular beer and a lower-carbohydrate "light* beer. Steady customers of the…

A: Let x represents the number of regular beers and y represents the number of light beer. Form the…

Q: Find all zeros of the polynomial function. Use the Rational Zero​ Theorem, Descartes's Rule of​…

A: Use the Descarte's Rule to find the sign change in the polynomial.

Q: 10 s(2-(z2 + 5)") dz =? 12z(z + 5)° +c (=+5) +c (22+5)

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Q: Refer to Graph below. y = /1 – x² Show that the volume under the surface z= 5x²y over the half of…

A: The given surface is z=5x2y and y=1-x2 We know the volume of the surface is given by…

Q: 4 1 8. Find a value of a such that the matrix A is non- %3D diagonable; explain the reason and then,…

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Q: Find the radius of convergence, R, of the series. n! n = 1 R = Find the interval, I, of convergence…

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Q: 6. An average earthquake measures 4.5 on the Richter scale. a. How much more intense is an…

A: The complete solution is in given below.

Q: 2x+5y =9 x+2y-z=3 -3x-4y+7z=1 a) Setup the augmented matrix. b) Solve the system by Gauss-Jordan…

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Q: 7. (a) A computer is programmed to choose an integer between 1 and 99, inclusive, so that the…

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Q: 1. In rolling a pair of dice, there are 36 possible outcomes in the sample space. a.) Find the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: The area of the region inside the circle r = 6 cos e and outside the cardioid r = 2(1+ cos 0), a > 0…

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Q: determine the value of the parameter a that will make the function f(x) = [ax+1, x- -1

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Q: 6. Charles would like to buy a new car that costs $ 32000. The dealership offers to finance the car…

A: Solution:   If he chooses option 1, let's find out the total amount paid. Principal = Monthly…

Q: How long would it take for a principal ofP to double if invested at 7% compounded continuously?

A: Given, for a principal of P to double if invested at 7% compounded continuously.

Q: Reverse the order of integration and evaluate the integral: (a) / IT 2y° sin zy dy dz 2 dy dx (c) 0.…

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Q: If f (x) = 4x +7 and f (z) goes through the point (2,4) then f (x) ... !! 12 + 7x a' + 7x +c where…

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Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

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Q: 4) z = loge(7 + j)*

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Q: Let f be a function defined fort2 0. Then the integral LEF(t)} = e stf(t) dt is said to be the…

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Q: Q2: Using the rules, convert the following differe ntial equation into exact, then solve x* ydx-(x'…

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Q: Solve the variational problem S v +2y (x +y)] dx = 0, given y (1) = y (2) = 0. [x2

A: The complete solution is in given below

Q: Bolue : Frih"x t1= Sech",

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Q: Question 3: The 8 kg Block is moving with an initial speed of 5 [m/s]. If the coefficient of kinetic…

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