2. Give a counter example to the claim that f(E) nf(F) ≤ f(EnF). Recall injection, surjection ,etc.

Q: (a) Use a graph of f(x) = 2x² + 2x + 2 to estimate the value of lim f(x) to one decimal place. x →∞…

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Q: 83. Solve the differential equation x+y=(-x² cos x)y². = x(sin²x+C) A. y 1 C. --=x² y

A: Given

Q: Consider the sequence a. Write out the first five terms of the sequence. a1 = a2 = a3 = a4= a5 = 9.…

A: here we have to check whether the sequence is convergent or not.

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: Please see the below picture for detailed solution.

Q: Loriservia End the values of x in [0, 2^] where the targent ine to the Curve y = 2 Sinx-5x is…

A: Given query is to find the point where tangent line is perpendicular to the given line.

Q: What is the value of cos (sin¯¹ (-0.845))? Enter your answer, rounded to the nearest thousandth, in…

A:

Q: . Sketch the graph of the function f(x) with the function. = 2x+3 x-5 Describe its features and…

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Q: 6. Find dy dx of cos y - 2xy + 3x = 2x sin x

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Q: 625 242 A car traveling at 50 mi/hr. skids ft. If we assume the brakes provide a constant…

A: Given that , Initial speed u=50 mi/hr=50×8860=2203 ft/sec skids s=625242 ft What is deceleration and…

Q: Which of the following sequences converge linearly to 0? Choose all correct answers. 1 1 1 1 4 5…

A: see below the answer and explanation

Q: 5. Evaluate each limit. a. b. lim e #18 2+10 lim 2003-10 lim etan: (π/2) +

A:

Q: Use the Direct Comparison Test to determine whether the following series converges or diverges. 1 Σ…

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Q: Suppose h h'(0) = = fog. Find h'(0) given that f(0) = 8, f'(4) = −3, g(0) = 4, and g'(0) = 9.

A:

Q: Find the linearization of f(x) at x = -π/4. = 2 cos x 1. L(x) = √² (1 − ² ñ + x) 2. L(x) = 1 1 1…

A: f(x)=2cosxat x=-π4formula ror linearization is L(x)=f(a)+f'(a)(x-a)

Q: Find the sum of the following infinite series. Enter DNE if the series diverges. Sum: 8 M n=1 ( 3" -…

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Q: Evaluate the iterated integral. 3x [² ^(x + y²) dy d J2x

A: Given query is to find the integral.

Q: What does “composition of functions” mean?  Give an example using two functions f(x) and g(x), along…

A: We have to define composition of function and give examples.

Q: slope

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Q: Consider the factored polynomial p(x) = (x + 7) (x − 3)²(x+4)³ Find every real zero and list its…

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as…

Q: J - 10 -dx (x − 1)(x² + 9)

A:

Q: solve the given initial value problem.  y" -2y' +y =0; y(0) =1, y'(0) =-2

A:

Q: A large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt…

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Q: 10- 8 6- y=f(x)

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Q: Compute the gradient of the following function and evaluate it at the given point P. 2 2…

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Q: Given the geometric sequence: 20, 4, 0.8,... Find an explicit formula for an an = Find a 13 = Note:…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [ 8x¹e²³ dx =…

A: To evaluate the given integral

Q: Two boys on bicycles, 47 miles apart, began racing directly toward each other. The instant they…

A: Given: The distance between two boys, d=47 miles. The speed of each boy, v=13 miles per hour. Then,…

Q: Find all the second-order partial derivatives of the following function. h(x,y)=9xey + 8y +4 2²h 2…

A: The function is  h(x, y)=9xey+8y+4

Q: 9x est dx dx = +C

A: Given

Q: e derivative.

A:

Q: Calculate the velocity and acceleration vectors of r(t) = ej-9 cos(1)k at the time t = 0. (Give your…

A: The details solution of the given question is given below in step 2.

Q: Evaluate the integral. (Use C for the constant of integration.) e3x 5e3x + e dx

A:

Q: x³ + y³ = 1 show that d²y dx² 2x y5

A: SOLUTION-

Q: Find the area bounded by the curve y = 3e and y = 3e x = 2. and the ordinates at x = 1 a

A:

Q: 2. A man wandering in the desert walks 2.3 miles in the direction S 31°W. He then turns 90° and…

A: A man wandering in the desert walks 2.3 miles in the direction S31°W. He then turns 90° and walks…

Q: Find the derivative. f(x) = In (xe√x + 2) f'(x) = [

A:

Q: Consider the surfaces. z = f (x, y) = xy(x²-x²) x²+x² z = f(x, y) = 2x - y - 2 z = f(x, y) = 2/12 -…

A:

Q: 3) Let A and B be two matrices that are row equivalent. Show that if A is invertible, then B is also…

A: According to Bartleby guidelines , we can answer only first question. Kindly re-post other remaining…

Q: A. x² = 8(y + 3) C. y² = 8(x + 3) O Equation D O Equation A Equation B 4 B. x² = 16(y + 3) D. y² =…

A: we will find the required.

Q: Given z=-18-6x² is a curve in the xz-plane. If the equation of the surface generated by revolving…

A:

Q: 1. Show that y = 8e-x³ is a solution to y' + 3x²y = 0.

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Q: Evaluate the integral. (Use C for the constant of integration.) [5x√1-x² dx

A:

Q: 7. A person is riding in a hot air balloon. For the first hour the wind current is a constant 9.50…

A: We have to find the distance travelled and bearing of balloon from its starting point.

Q: A weather balloon is rising vertically at 40 meters per second. An observer is standing on the…

A:

Q: Evaluate the limits, if they exists. (If an answer does not exist, enter DNE.) (A) lim h → 0 (sq rt…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: You want to have $200,000 when you retire in 10 years. If you can earn 3% interest compounded…

A: A=Pertwhere A is final amount P is initial amount r is rate t is time in years

Q: 2. Consider the polar equation = 4 cos 0+sin 0 a. Converting to a rectangular equation (show all…

A: Given that polar coordinate  r=24cosθ+sinθ Note:- As per Bertleby guideline I have to solve first…

Q: 1 /m2 In problem do the following. (a) Choose the appropriate substitution for r in terms of using…

A:

Q: A ball is dropped from a height of 15 feet and bounces. Suppose that each bounce is 5/8 of the…

A: Given information:  Initial height = 15 feet Bounce back factor = 58 Height of nth bounce = 58 of…

Q: Find the derivative of the function. 1 + sin(t) 1 + cos(t) s'(t) = s(t):

A: