Make a sketch of the following vector field. F= (5e%,0) Choose the correct vector field below. O A. O B. 11 11 1

Q: 3. Find the number in the interval ,2] such that the sum of the number and its reciprocal is (a) a…

A: Let number = x,  It is given that, the function is = sum of number and its reciprocal

Q: The graph of the derivative y = f'(x) of f(x) is given below. According to the graph, we have f(0) >…

A: We have to tell whether it is true or false

Q: Find the distance between points P, and P2. Pi(0, - 3,3), Р,(8, - 4, - 2)

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Q: Differentiate the following. 2r-3 1. y = e

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Q: Suppose a curve is defined by the equation 16(?2+?2)=45.16(x2+y2)=45. Show that if you translate the…

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Q: (4) Consider a product whose unit cost is $3/item and whose demand function is given by 50000 D(p) =…

A: Profit function: Subtracting the cost function from the revenue function yields the profit function.…

Q: 6. If z2 = x2y2 (where x, y, and z are positive), and dz then what is when x = 2 and y = 3, given…

A: Given problem:- If z2 = x2 y2 (where x, y, and z are positive), and dz/dt then what is when x = 2…

Q: The period of y = 2 sin 4x is _____. 2 pi/2 4pi

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Q: 8., (x + y) dA, where R is the region that lies to the left of the y-axis between the circles x? +…

A: As you have asked to answer question 8, we will answer question 8.Question 8.The given integral…

Q: a.How long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the time taken to double the investment.

Q: Q2: A- The differential equation y"+2y'+y 0 has a characteristic equation with double roots, one of…

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2, 0, 5) and (-1, 2, 3).

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Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

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Q: For the function x-3 f(x) = 2x +5 etermine coordinates of the y-intercept of the inverse function…

A: We can find the coordinate of y-intercept inverse function as below.

Q: (1) If x=t*2 +1and y= t*3, then the second 3 (4t) Option 1

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Q: x +1 -dx x3 +1

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Q: 1 3 20. Find the associated P-vector. A. C. D. E. None B. ON

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Q: Compute the following limits: cos (x) (i) lim x3 tan(3x) (ii) lim

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Q: The market research department of a company recommended to management that the company manufacture…

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Q: 9. y = csc csc (5x) 10. y = cot(6x)

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Q: (d) ſ tan² 3t dt 5 cos? x – 3 tan x dx - (e) S cOs X

A: The integration of the integrals is d) tan2(3t)  e) (5cos2x-3tanx) /cosx

Q: Eliminate the arbitrary constants on the given equation: y = Ae + Bxe" O y = y' – 2y O y' + 2y +y =…

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Q: 14. Find X(s), given x" + 16x = t, x(0) = 0, x'(0) = 0.

A: answer is in next step

Q: dy Solve of x°y4 – 6e(2-y) = 3. 12e(2z-v) –3r2yA 4 A. y' %3D 6e(2z-y) +4x³y³ B. y' 2e(2z-y) – 3z²y4…

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Q: Find the derivatiives of the following functions using DELTA METHOD. 1. f(x) = 3x – 2 2. f(x) = (3x…

A: We know that f'(x) = lim∆x→0fx+∆x - fx∆x

Q: 2. Express the shaded area of the region shown below by double integrals of order of integration (1)…

A: The shaded region's area is: The difference between the area of the complete polygon and the area of…

Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

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Q: Differential Equation Classify the following differential equations.  - DEPENDENT VARIABLE -…

A: We have to classify the given differential equations.

Q: a) [. :l: Determine whether the following series (-1)"5"-1n . 42n+1 n=1 is convergent or divergent.…

A: As per policy only first question is answered. Please refer to the image below

Q: . For what value(s) of c is f(x) = 54-x³, x < 3) %3D lcx² + 13, x 2 3) continuous everywhere?

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Q: 300 Mr. Santos wants to acquire a lot 300TT meters wide and with length bounded from 300 the road to…

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Q: P= 8,6)

A: Given vector v=5i+3j+4k  The point p is (6,8,6) and we called P is Position vector.

Q: please answer number  2 and follow the format of sample solution (include the rules/techniques used)

A: Here we have to find the integral

Q: A garden lot is bounded by the curves y = x and y = 9. If its area is in square meters and it will…

A: We will find the area and cost.

Q: Which of the following statements is true for the function f whose derivative is f'(x) = (x + 2)e-*…

A: Here we have to find the intervals where the function is increasing and decreasing.

Q: A graph of y = f (x) is shown. In the same coordinate system, sketch a graph of the derivative…

A: Graph of the function is given, we have to find its derivative graph

Q: Bacteria are reproducing in concentric rings in a petri dish. The circular area occupied by the…

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Q: Find the equation of the tangent and the equation of the normal to the curve y = x + at the point…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: y? Let f(x,y) : (a) Find the domain and range of f. (b) Draw a contour map of f for k = –3, –2,…

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Q: The radius of a circular oil slick expands at a rate of 7 m/min. (a) How fast is the area of the oil…

A: Given problem:- The radius of a circular oil slick expands at a rate of 7 m/min.   (a) How fast is…

Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: What are the local extreme values of the function f(x) = = x' + 6x + 2? a. Local maximum at (-2, 6);…

A: The given function is;  f(x)=x3+6x2+2.

Q: A spy uses a telescope to track a rocket launched vertically from a launching pad 6 km away, as in…

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Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

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Q: lim x? O1 -25 25 -1 ||

A: The detailed solution is given below Thank you

Q: students were surveyed on their current enrollment in Math, Biology, and Chemistry. The results are…

A: Solution: Total number of students=180

Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(16) e*e = e*…

A: We have to find the values of x and y.

Q: drop of oil in the shape of a circle is increasing its area at a rate 4 cm2/min. Find the rate of…

A: Given query is to find the rate of change of radius.

Q: B- derive expressions of the height, flight time and range of a projectile in terms of the initial…

A: We need to derive formula.