which of following is graph of F(x) = Xº Dashed 4²-1 lines indicate asymplates

Q: Find the first partial derivatives of 3x-3y 3x+3y f(x,y) : of = -(2, 1) = af ду = - (2, 1) = - at…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Find the length of the curve r(t) = (t, (3t^2)/2 , (3t^3)/2 ) on the interval [0, 2].

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Q: t → 00⁰ A is the asymptotic length of the fish and k is a proportionality constant Assume that L(t)…

A: We get the differential equation as dLdt=k(A-L)dLA-L=k dt (a) We solve the differential equation as…

Q: Find all the critical points of f when f(x) 1. x = -5, 25 2. x = -25, 5 3. x = -5, 0 4. x = -5, 5 5.…

A: According to question,Given Function,fx= xx2+25

Q: 2T * sin(²) cose dr de 0

A: To evaluate the following integral. ∫02π∫23sinr2 cos θ  dr dθ

Q: the following steps for the given function, interval, and value of n. a. Sketch the graph of the…

A: Option C

Q: Find the curl of the vector field F. F=x²yzi+xyzj+xyz¹k curl F = = 0i+Dj+0k

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Q: dy dt yet, y(0) = 1

A: Given that dydt=ye-t ,  y(0)=1 here using separation of variable to solve given differential…

Q: For the following two p-series, state whether it is convergent or divergent and why? ∞ (Α). Σ (Β)…

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: Arc Length. If f(x)= 3x³ -10, find the arc length of the graph off from the point A(8,2) to…

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Q: In the critical points, how do you transition from dp/dI = (320-80I^2)/(I^2 + I + 4)^2  to 320-80I^2…

A: NOTE: Refresh your page if you can't see any equations. . the derivative is given by

Q: Find the domain and range and describe the level curves for the function f(x,y). 1 f(x, y) = x - —…

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Q: The curvature of a plane parametric curve x = f(t), y = g(t) is given by  where dots indicate…

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Q: The formula A = 242e0.03t models the population of a particular city, in thousands, t years after…

A: A = 242×e0.03twhere, t is in years.              A in thousandtake, t = 0 in the year 1998

Q: S(x+5)-1/2³/z+5

A: we have given ∫x+5-12ex+52dx

Q: Find the directional derivative of f(x, y, z) = 2³ - x²y at the point (-1, -2, 4) in the direction…

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Q: A curve passes through the point (0, 3) and has the property that the slope of the curve at every…

A: The curve passes through point ( 0 , 3 ) The slope of the curve at every point p is twice the y co…

Q: Find the first partial derivatives of f(x, y) = sin(x − y) at the point (-5,–5). - A. fz (-5, -5) =…

A: Here we have to find the partial derivative of the given function  f(x,y)=sin(x-y) at a point…

Q: swer: ________________________ B. Use your calculator to estimate the 'exact' amount. (Your…

A:

Q: Compute the dot product. (Use symbolic notation and fractions where needed.) (j+i) (j+ k): =

A:

Q: Convert the point (r, 0, z) = (2, 2π, - 4) to Cartesian coordinates. Give answers either as…

A: 3D-Geometry As per guidelines, one question can be answered out of multiple different questions.…

Q: The velocity of a car (in miles per hour) is given by v(t)=90t−30t^2 where t is in hours. Write a…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Find the angle between the vectors u = (1, 2, 3) and 7 = (3, 2, 1) - 80.79° approximately O 71.79°…

A: Question 1

Q: tor los ( 121 ) –

A: Here we solve the given logarithmic.

Q: Mrs. Wilton is planning a rectangular flower box for her front window. She wants the flower box to…

A:

Q: Given that y₁ and y2 are linearly independent solutions to the differential equation, state the…

A: Given linearly independent solutions are: y1=excos(2x)y2=exsin(2x)

Q: 8. Write the equation of the ellipse given that the vertices are at (0,−4), and (0, 2); and the…

A: NOTE: Refresh your page if you can't see any equations. . the given vertices are the center of the…

Q: day the scenano and complete the questions that follow. Rate of change of Rainfall In the rainy…

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Q: Derivatives involving ln x Find the following derivatives d/dx (ln(lnx)) d/dx (ln(x+1/x-1)) .…

A: formula used (i) d dx(lnx)=1x(ii) d dx(xn)=nxn-1(iii)  lnab=lna-lnb(iv)  lnxn=nlnx

Q: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,800 bacteria. Find an…

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Q: Evaluate (3x + 3√Y) ds where C is given in the accompanying figure. √(3x + 3√y) ds = (Type an exact…

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Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

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Q: find the sum of the series Σ (sin (10) - sin(-1)) 71=1

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Q: Which of the following series is conditionally convergent? (A) B n=1 Σ(-1)²+1 17+n √n n=1 sin(n) 7²…

A: Given that, (A) The series  ∑n=1∞sin(n)n2 ,  Since,   ∑n=1∞ sin(n)n2 ≤   ∑n=1∞ 1n2 which is a…

Q: Let f(x) = x²-7X, 9(x) = sin(x) and P(x) = { *³²³²^(x), *²0 x=0 a) use the limit definition of the…

A: We need to find derivative of given function.

Q: A rectangle is inscribed between the x-axis and the parabola y = 12 - 2² as shown in the figure

A: Let point of rectangle of x axis = ( x , 0) Therefore, Point on curve (x , 12-x2)

Q: Evaluate. (Be sure to check by differentiating!) 1 9 Jes dx, x# -- 5 1 dx= 9+5x (Type an exact…

A: Here we evaluate the given integral and Check by differentiating.

Q: Consider the following function. x), a-0, n=3, 0≤x≤ 0.2 (a) Approximate f by a Taylor polynomial…

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Q: Solve the diffrential equation (dy)/(dx)-3y=2

A: Given differential equation is: dy/dx -3y=2  We have to find the value of y(x)

Q: Read the definition of the natural logarithm function. The natural logarithm of a number x>0 is…

A: The natural logarithm of a number x>0 is lnx=\int_1^x (1)/(t)dt

Q: Suppose the region on the left in the figure (with blue shading) has area is 21, and the region on…

A: Here we have a graph having 2 regions. One region have area of 21 and other have area of 7.

Q: Let b(t) represent the population of bunnies on Greentree Island t weeks after the population was…

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Q: Suppose z = x² sin y, x = -4s² + t², y = -2st. A. Use the chain rule to find and as functions of x,…

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Q: INTEGRAL CALCULUS 7. Find the area bounded by the parabolas: x² 4y and x² = 8y - 4.

A: x2=4y..........1    f(x)=x2/4 x2=8y-4............2   g(X)=x2/+4/8

Q: Determine if the function 1. c satisfies the hypotheses of the Mean Value Theorem (MVT) on the…

A:

Q: 2x -x 2 x²-p²x¹ dx

A: Differentiation

Q: K Find the area under the given curve over the indicated interval. y = 2x; [1,4] The area under the…

A: Given function y=2x ,and x belong to x=1 to x=4

Q: Find all local extrema for the function f(x,y)= -6x² - 7xy-3y² -34x-16y +8. Select the correct…

A: Partial differentiation