solve the following problems. Draw the necessary figures for each. Find the surface area generated by rotating the parabola y = x² about the x-axis from x = 0 to x = 1.

Q: 1) IP ged (a,b) =p,where pis prinemteger the пр 2) р? 3) рогра и) мои gcd (o², b)

A: Given  gcda,b=p  where p is prime integer.

Q: Find the inverse Laplace transform of 7s (3s²+75)²

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Q: The Path of a Football Quarterback Quick Release can throw a football in a perfect parabolic arc to…

A: Note : I have to solve only b and c part so, I am taking answer of part a directly. Solution :…

Q: Problem 3. Consider vectors and as drawn below. The vectors are drawn to scale. Choose an item below…

A: we have to find direction of projection of vector ( u + v ) on vector v

Q: A set of data is given. a b 0 -10 1 -2 2 6 3 14 4 5 6 (a) Find a linear model for the data. (b) Use…

A:

Q: 1. Find the Laplace transforms of the following functions. a.) est e2t cos (3t) + sin (3t) - b.) 2…

A: This question from laplace transform

Q: 1. A bamboo is 262 meters long. If it is cut into 12 pieces, how long will each piece be?

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Find the first and and second derivatives with respect to z, and then find and classify the…

A:

Q: The area of an isosceles trapezoid is 50 ft². Find the smaller base angel of the isos pezoid measure…

A: question the area of an isosceles trapezoid is 50 ft2. find the smaller base angle if the base of…

Q: ADVANCED MATH (Please "write" the solutions leigibly and correctly. No long explanation needed. Rate…

A: Solution : For both investors 1,3 - They need at least 10% return and both investments gives, 10,…

Q: Find the sum of the following infinite series. +00 +2k+1 3k+2* 1 (1) Σ (ii) Σ k2 +5k+6 n=1 n=1

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Q: c spaces. Show that X x Y and Y

A: The sup-metric d1 on X×Y is defined as d1x1, y1, x2, y2=max dx1, x2, ey1, y2. Similarly, the…

Q: Determine the monthly principal and interest payment for a 15-year mortgage when the amount financed…

A:

Q: Write a note on Fourier

A: If the composite signal is periodic, the decomposition gives a series of signals with discrete…

Q: Find the inverse Laplace transform of 7s (3s²+75)²

A:

Q: Q.IB) Show: S 14 sin dydx + 24 sin dydx

A:

Q: Circle is the 6. The circumference of a ten terms of the arithmetic sequence 2,8,14. Find the area…

A: Given: The circumference of a circle is the tenth term of arithmetic sequence 2, 8, 14, ... To find:…

Q: ๆ 0 1 3 -2 3 - - - - - B 3 m C ܩ ܘ ܩ O - - - T 5 D =

A:

Q: Problem 2 The graph of f is given. Use it to graph the following functions. 1 0 (c) y = f(-x). (d) y…

A: The graph of the function f is given as

Q: Identifying The Characteristics of Linear and Exponential Functions Function Type and Behavior p(t)…

A:

Q: 3) a) Use Simpson's rule with n=4. b) Estimate the error in the approximation. -2x dx jedx to…

A: Given integral is ∫06e−2xdx. a We have to approximate the given integral by using Simpson rule.…

Q: Find the Fourier series of the following function... ·Ft. <.-II. f.(.t.).. ・.2. - # < t < 1/ 2…

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Q: If the linear system has infinitely many solutions, then k = and h = -6x 8x 50 x + 7y + 3z + 5 z 4y…

A:

Q: metoix space and d[211?(₂) for all ₁2 ER 2,12₂ 17. (*/ 1²(₂) d is matrie X. let (Xid) be d' XXR…

A:

Q: n 10x + 11y = n has

A: The equation as, ax+by=S. The smallest positive integer S is expressed as, S=(k+1)*a*b

Q: t A be a tridiagonal matriz (possibly by block trix and p(L₁) is the spectral radius of the C p(L₁)…

A:

Q: z²+1 at z = ∞

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Q: ADVANCED MATH (You may use excel for solving. Rate will be given.) See the following system of…

A: Note:- In the given system y is already used as a variable. So, i'll take p as a vector instead of y…

Q: Use mathematical induction to show the following. n 2(Vn+1-1) < Σ <2Vn+1 √i i=1

A: Introduction: Mathematical induction is a sort of mathematical proof. It is in general used to…

Q: Given a system u = Bu+c as above, wher equivalent:

A:

Q: solve the equation day + (2 corx + tanx) dy + y cau²³x = costic dx² Jx by changing the independent…

A: Given differential equation d2ydx2+2cosx+tanxdydx+ycos2x=cos4x…

Q: Question 4. Complete the boxes, giving your answers to two decimal places where applicable. to get…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Given that R is the area bounded by the curve y = 9 – x^2 and y = 5. Calculate the volume of the…

A: Given that R is the area bounded by the curve y=9−x2 and y=5. We have to calculate the volume of the…

Q: Certain 4. The length of a IS The rectangle of the 1st nine consecutive geometric progression in the…

A: The Fibonacci numbers, usually abbreviated as Fn, are a mathematical collection wherein every…

Q: Find the dimension of the subspace spanned by the given vectors.

A:

Q: If the first seven terms in row 9 of pascal's triangle is given by: 1 9 36 84 126 126 84 a)…

A: the first seven terms in row 9 of pascal's triangle is given by:   1     9     36     84     126…

Q: The manufacturer of a new cholesterol-reducing yogurt plans to increase output over the coming…

A: Introduction: A recurrence relation is a mathematical equation that states that the nth term of a…

Q: . In a convex quadrilateral ABCD, there are given ||AD|| = 7(√6 – √2), ||CD|| = 33 5 $³3³, and D =…

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

Q: 1. Solve given separable differential equation: y' + 2x(y² - 3y + 2) = 0

A: Let us consider the differential equation of the form  dydx=f(x)g(y) Solving the equation using the…

Q: Q.IB) Show: RX sin dydx-

A:

Q: Determine the monthly principal and interest payment for a 15-year mortgage when the amount financed…

A:

Q: der the function of two variables a. Find all first-order partial derivatives. OF O da 8 sin (a) dr…

A: We have to find the partial derivatives

Q: 2. Given the following simple propositions, p: Jessie is riding on a bicycle. q: Jessie is eating…

A: Given the following simple propositions, p: Jessie is riding on a bicycle. q: Jessie is eating his…

Q: ..y yun.. 40mA B: Give the prime factorization of the number 34417

A: 34417= 127×271 The only divisors of 127 are 1 and 127 itself this implies that 127 is a prime…

Q: Question 4: Mark each of the following by True (T) or False (F) 1) In a commutative ring with unity…

A: Given statements are ,  (1).   In a commutative ring with unity every unit is  a zero divisor . (2).…

Q: Let R be the region bounded by y = 4x + 2, y = 4x + 5, y = 3 - 2x and y = 1-2x. Which one of the…

A:

Q: 0.01t An investment accumulates at a force of interest St 3+0.01t² Find the present value at time t…

A: Solution: Given that δt=0.01t3+0.01t2 and given $3900 due at the end of 7.5 at time t=0, now,…

Q: Directions: Complete the table. The fir X

A: Given, X             0.12 0.35 1) 8.45     2)5.32     3) 0.93     4) 0.25     5) 8.47…

Q: . Find the Fourier 2 f(t) = ans: f(t) = 3 # 2 2 series of the following function..... #<t <-/ < t <…

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Q: H.W: Use the chain rule to find the derivative of w= x² + y² with respect to t dw dt with x = cost +…

A: