Let T be an onto linear transformation from IR" to Rs. 1. What can one say about the relationship between r and s. A.T> s B.T S E. There is not enough information to tell

Q: 32. 11T 6

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Q: 3. A semi-sphere tank of radius 7 m is full of water. How much work is needed to pump all of the…

A: Water tank radius= 7m  Water density = 1000km/m3  Find the work required to pump out the water .

Q: Find an expression for a cubic function f if f(2) = 80 and f(−6) = f(0) = f(3) = 0. A cubic…

A: given information: a=-5, and the factors of f(x) are x, (x+6) and (x-3) hence, f(x)=a(x)(x+6)(x-3).

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Q: The graphs of y = f(z) (solid) and y = g(z) (dashed) are shown. The two graphs intersect at (7, 10).…

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Q: 11. \mbox{If a particle's velocity is given by)\:v(t)--t+2\:\mbox (and its) distance at 1-2 is…

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: We have the sequence (√2 - √9), (√3 - √10), (√4 - √11),........... Find the general term of…

Q: Subject: Differential Equation Use HOMOGENEOUS DE. Please have a clear and detailed solution.…

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Q: 8 3 ST 5 7 f(x) f'(x) -1 8 4 3 6 -2

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Q: 2. Determine all the combinations of cross products between the standard unit vectors i, j, and k.

A: Cross product between standard vectors follows the clock wise direction as shown in the diagram.

Q: If the area between the curve is 36 units. Find the value of c. 4 f(x)=x²-c C

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Q: If the tangent line to y = f(x) at (7, 3) passes through the point (0, 2), find f(7) and f'(7). f(7)…

A: Given: The tangent line to y=fx at 7,3 passes through the point 0,2 We have to find the value of f7…

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Q: lim →0 Lln (1+y) sin

A: We are asked to find the limit of the function

Q: Given the graph of g(x) (below), find 15 -5 (1, 12) g(4)-g(1) 4-1 10- -5 0 (4, 6) Graph of g 5 10

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Q: 3. W를 32 W32/22 50

A: Given :              w3232-w3250  = ? so we know that :…

Q: A loan shark lends you $90 at 2% compound interest per week (this is a weekly, not an annual rate).…

A: NOTE: Refresh your page if you can't see any equations. . here we have P=90 r=2%=0.02 (weekly rate)…

Q: limx→∞ 4 V 3x + 2x + 4 3 2x + 7

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Q: 3. Determine whether the following function y = ₁x + ₂x³ + 2x²e* - 2xe* A is a solution to the…

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Q: Let N, H. S. D, R. J. and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor…

A: Mr. Smith lives halfway between Detroit and Chicago if and only if Mr. Robinson and Mr. Jones lives…

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

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Q: The temperature is modeled by the linear function T = 0.03t+ 7.50, where t represents the years…

A: Here is the solution:

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Q: (dy/dx) + y cot(x) = - y cos(x) bernoulli differential equation

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Q: A machinist is required to manufacture a circular metal disk with area 2300 cm². (a) What radius…

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Q: Find the Taylor polynomials of orders n = 0. 1, 2, 3. and 4 about o and then find the nth Taylor…

A: Please see the below picture for detailed solution.

Q: In Exercises 29 and 30, find the values of x (if any) at which f is not continuous, and determine…

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Q: Integrate: dx/(K+bx)=dy/-by

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Q: Use the given conditions to write an equation for the line in point-slope form and in…

A: I am attaching image so that you understand each and every step.

Q: Let f be a differentiable function such that f (3) = 4 and f' (3) = 5. If g(x) = x² f (x), what is…

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Q: Integrate: dy/(-2-1.2y)=dx/(0.5+1.2x)

A: Given problem:- Integrate dy-2-1.2y=dx0.5+1.2x

Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = -x³, f(a+h) -…

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Q: (2xy — sin x)dx + (x² − cos y)dy = 0 -

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Q: Set up the integral to find the volume of the solid generated by revolving the region bounded by x =…

A: See this solution in below.

Q: Solve the following differential equation. 4. (2x¹-2x³) dr +(4x²-61²7+217²) dx=0

A: The given differential equation is: 2x2t-2x3dt+4x3-6x2t+2xt2dx=0

Q: Suppose z = f(u, v), where f(u, v), fu(u, v) and f(u, v) are differentiable functions of u and v.…

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Q: Given P(x) = x³ + 5x² + 4x + 20. Write Pin factored form (as a product of linear factors). Be sure…

A: Please see the below picture for detailed solution.

Q: Set up the definite integral required to find the area of the region between the graph of y = 15 -…

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Q: Find the solution of the following DE. Show your complete solution 4.

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Q: x+3x²y²+y+ xay 5. y' mi

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Q: The distance d (in feet) a moving car is from a stoplight is given by the function d(t) = 21t²,…

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Q: If B is the adjoint matrix of 134 A= -5 -9 4 782 Determine the value of 2b+3b-4b 21 12 33

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Q: 1) In the 2000 U.S.​ Census, a small city had a population of 60,000.  By the​ 2010, the population…

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Q: 5. x²y = 4x² + 7xy + 2y₁².

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Q: Write an equation for line L in point-slope form and slope-intercept form. L is perpendicular to y =…

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Q: 13. Which differential equation describes the slope field shown below? 4

A: The given plot is parabolic.  which is equation of parabola. Option D also gives equation of…

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Q: 9. lim X 2 2 x→∞ x² +8x

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Q: 6₂. (W° x 5)-1

A: To simplify the following expression.w0x5-1