How many pivot columns must a 5 × 7 matrix have if its columns span R°? Why?

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it converges

A: Given: ∫1∞ln xxdx To determine: The improper integral diverges or converges.  

Q: 1. Find the inverse of f(x) = 3sin(2x) +5 where - π/4≤ x ≤ π/4 prove each identity  cot θ= (Sin2θ)/(...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: 16.5 - #5

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Q: Find the value of $1000 deposited in a bank at 12% interest for 8 yearsif it is compounded:   a) ANN...

A: Given that: P=principle amount= $1000 r=interest rate=12%=0.12 t=time=8 years A= final amount   

Q: Determine if the integral converges or diverges. If it converges, give its value. re+3 1 dx 2 (3- x)...

A: Let us consider the given integral I as: I=∫2e+313-xln3-xdx Let us make substitution by putting u=ln...

Q: As³+Bs²+Cs+D If L(4sin(3t) +2cos(9t)) = (s²+9)(s²+81) the value of B is

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Q: Under what conditions can you find the area of the surface generatedby revolving a curve x = ƒ(t), y...

A: Given information,x=fty=gt; a≤t≤b To get the area of the surface generated by the curve about x-axis...

Q: A hawk flying at 18 m/s at an altitude of 190 m accidentally drops its prey. The parabolic trajector...

A: Given that: y=190-x254 Let,  y=0190-x254=0190=x254x=101.29So  the  distance  travelled  is  the  one...

Q: Find the inverse of the function and state its domain. f(x) = 8 sin (7x) for 14 14 f- (x) = D (Use i...

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Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircl...

A: Given: A window has a semicircle top on rectangle such that the diameter of semicircle equal to widt...

Q: Find all real numbers in the interval [0°,360°) that satisfy the equation. Use degree measure. 9 sec...

A: Given, 9 sec2θ tanθ = 12tanθ Dividing with the tanθ from both side of the equation 9 sec2θ tanθ - 12...

Q: use the variation-of-parameters method to find the general solution to the given differential equati...

A: final answer of this differential equation is y = c1e-2x + c2e2x -1 -2e2x + e-2xlog(e2x +1)(e4x -1) ...

Q: Find the one-sided limit (if it exists).

A: Given: limx→0+x-1x+3 for evaluating given limit, we put x=0+ in given limit

Q: State the definitions of the hyperbolic cosine and hyperbolic sine functions.

A: Given sine and cosine function.

Q: What is the reference angle of -14pi/3?

A: solution of this question is given below ans is 60° or π3

Q: I'm having a hard time setting up the integral for this one. Please help!

A: Given: y2=x4-x2 To Find: a. Which approach is better for the task verticallyusing dx or horizontally...

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer...

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Q: The volume of an ice cube is decreasing at a rate of 1.5 cm³/ sec. At what rate is a side of the ice...

A: We know that volume of a cube is given by V=a3 here V=volume of cube ,a=edge of cube Rate of change ...

Q: There are five bacterla in a petri dish and its number triples every minute. How many bacterla are i...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: A leather soccer ball has an inside diameter of 8.5 in and a thickness of 0.1 in. Find the volume of...

A: inside diameter=8.5 inthen inside radius(r1)=8.5/2=4.25 inoutside diameter =8.5+.1=8.6 inoutside rad...

Q: Evaluate the integral of f(x, y) = xy over the shaded domain D. (Assume that a = 6.) IL wen - O a2. ...

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Q: These are true or false questions.

A: 5) If a function is differentiable at any point x=a, then f(x) must be continuous at that point.  So...

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) = 2...

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Q: Find the second derivative of f(x)=x^2-3/x.

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Q: Calculate dy/dx using implicit differentiation. sin y + 2 = x

A: differentiate both the sides with respect to x. sin y+2=xd(sin y)dx+d(2)dx=dxdxcos ydydx+0=1.....(1)

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few t...

A: Given sequence 6,13,20,27,34,.... First term of the sequence is  a1=6 Common difference  d=an-an-1  ...

Q: Income Taxes The function T(g) = 1815 + 0.15(g – 18,150) represents the 2014 federal income tax T (i...

A: The function representing the income tax due is given by T(g)=1815+0.15(g-18,150) where g is the adj...

Q: Let f (x) = 2 – x2/3. Find 1. the intervals on which f is decreasing or increasing. 2. the intervals...

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Q: If f(x) = 3x sin-1(x), find f'(x) = f'(0.3) = Note: Don't try to use sin(x) in your answers; use arc...

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Q: The radius of a spherical balloon is decreasing at a rate of - in/sec. Which of the following is the...

A: Solution :- Since the radius decreasing  So we take negative sign in the rate of decreasing radius  ...

Q: A 50 feet ladder is leaning against a wall of a building. Suppose the base of the ladder slides away...

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Q: Evaluate f Sxy dx dy, over the region in the first quadrant given between the following curves +=1 a...

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Q: determine all critical points and all domainendpoints for each function. ƒ(x) = 6x2 - x3

A: given function f(x)=6x2-x3 we have to determine the critical points and domain endpoints for the fun...

Q: Find all values of y such that the distance between (7,y) and (-6,9) is 24. y%3D (Use a comma to sep...

A: The distance between the points 7, y & -6, 9 is 24.  

Q: Calculus Question

A: If the conic is rotated counterclockwise about the origin through an angle 3π4 then write the result...

Q: What’s 2 to the 4th power

A: We have to find 2 to the 4th power. We know that for x2 we call it as x to the 2nd power for x3 we c...

Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is Blank 1 dx

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Q: Find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal ...

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Q: Using Laplace transform, solve 2 + y = 3t with y(0) = 3 and determine y(5) in 4 decimal places

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Q: Differential Equation with coefficient linear in two variables) Number 4.

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Q: Find the harmonic conjugate of u where u(x,y)=x^2 - y^2 -2xy-2x+3y

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Q: If L(4sin(3t) + 2cos(9t)) = 4AS³+Bs²+Cs+D (s²+9)(s²+81) the value of B is

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Q: Determine whether the curve is the graph of a functionof  x. If it is, state the domain and range of...

A: we know that if graph of any given expression gives only one value of y at every value of x in it's ...

Q: Describe the level curves of the function. Sketch a contour map of the surface using level curves fo...

A: Given information: z=5x2+y2 where, C=1, 2, 3, 4, 5

Q: Evaluate (1)/(2)+ (1)/(4)+ (1)/(8)+ (1)/(16) + ⋅ ⋅ ⋅.

A: To Evaluate: 12+14+18+116+..... Concept: Sum of Geometric Series:1. a+ar+ar2+ar3+····+arn-1, then ∑k...

Q: lem B.1 ler the following

A: The sequence of successive numbers is given,  1, 22k,32k,42k,52k.......... which is expressed as ,  ...

Q: Find the inverse of the function on the given domain.   f(x)=(x−8)2, [8,∞)     f^-1(x)=

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Q: A piece of wire of length 60 cm is cut, and the resulting two pieces are formed to makea circle and ...

A: Let the length of square is x. Then each side of the square will be x4. The circumference of the cir...