Given that x and y are functions of time, find the indicated rate of change. dy dx Find when x= 1, y =2, and 5, given that y = 2x +7. %3D dt dt

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Please refer to the image below

Q: Question 1 differential equation Consider the following dy 2x2. - (x + 2y)? = -x?. - dx a):…

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Q: Solve the following differential equations of 1– y' = 2y – x; 2-x'y'y'+

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Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) r cos(s) u du = ds J

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Q: How can you randomize the items of a list in place in Python?

A: The method shuffle( )  can be used to randomize the items of a list in place. It should be noted…

Q: Consider the parallelepiped with adjacent edges u = 8i + 5j + k v = i+j+3k w = i + 8j + 4k Find the…

A: Topic = Vectors

Q: 5. Use 1 mile = 5280 feet to solve the problem below. * %3D Two people are looking up at a…

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Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find the…

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Q: xp ( 14

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Q: A produce grower is purchasing fertilizer containing 3 nutrients: A, B and C. The minimum weekly…

A: (a) Write down the LP Model. In Blend 1,the number of units of the nutrient of A is 2n .In Blend…

Q: Use Green's Theorem to evaluate the line integral (y – x) dx + (2x – y) dy for the given path. C:…

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Q: )find the inverse Laplace transform 1 L-1 (p2 +1)2,

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Q: Find a function y = ax? + bx +c whose graph has an x-intercept of 1, a y-intercept of –3, and a…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Solve the D. E y-2ý+24 = 2 X +3 2y +2Y

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Q: (2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all…

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Q: Evaluate (2x – y) dx + (x + 9y) dy. C: x-axis from (0, 0) to (0, -9) and (0, -9) to (8, -9)

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Q: Se 3+2tan4x sec²4x(etan4x + 6)°dx

A: LetI=∫ e3+2tan4xsec24xetan4x+69dxI=∫ e3e2tan4xsec24xetan4x+69dxI=∫…

Q: Use the Comparison Test to determine whether the series is convergent or divergent. 1 n3/4 n- 2 Σ -…

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Q: -2Y 1) e ** dx-e dy =0; y=0 when x=0

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Seven carpenters and five masons earn total of 2,300 per day. At the same rate of pay three…

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Q: Find the area of the region bounded by y = 6x-x? y=2x

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Q: Consider the function below. f(x) = -2x2 + 4x + 5 (a) Find the critical numbers of f. (Enter your…

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Q: 3. The points A and B have coordinates (3,4) and (11,2) respectively. In terms of i and j, find: a)…

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Q: Jse an appropriate substitution and then a trigonometric substitution to evaluate the integral. x dx…

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Q: Given: h (t) = ; Find h'(t). %3D +2 O h (t) = 8t (1+t) %3D (t+2)* 8t Oh (t) = (t+2) %3D Oh (t) = 8t3…

A: Given,h(t)=t2t2+12differentiate w.r.t.th'(t)=ddtt2t2+12Use power rule…

Q: 1. dx '1 + x* 3. dx

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Q: If f(n + 1) = f (n) + 5 and f (1) = 100, what is f(4)?

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Q: lim レ+x- %3D X. x→0 e-X+1 x -x_ a Find the limit.

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Q: What is the spherical excess of a spherical triangle whose angles are all right angles

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Q: a) Find the area of the region enclosed by the curves y = 12 – x² and y = x2 - 6. Answer: A =

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Q: f(x) = %3D 4 — т

A: We will approximate f(x) by the Taylor series. Taylor series of function fx at a is defined as:…

Q: A quadrilateral has sides equal to 12 cm, 20 cm, 8 cm, and 17 cm respectively. If the sum of the two…

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Q: f'(x) %3D 6х — 3/x*, х> 0, f(1) %3D7 - f.

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Q: 5 5 4 f(x) dx %3D 8 аnd 1 If f(x) dx = 3.2, find f(x) dx.

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Q: For the function o graphed in the accompanying figure, find lim p(x). y = 6(x)

A: Limit using graph

Q: 8.Evaluate the triple Integral. Te by The paraboloid X=2yt + 2z? and the plane X=2. 7x dV, where E…

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Q: Identify the function as a power function, a polynomial function, or neither. f(x)= 3^(x+1)

A: We have to identify the given function f(x) = 3(x + 1) as a power function, a polynomial function or…

Q: Use any method to evaluate the integral. S 300 dw w?/100 - w? ... S- 300 dw w/100 – w? (Type an…

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Q: Directions: Identify the following. Use the figure at the right. 1. On Circle O, a. name each…

A: Since this is a multiple subpart question according to the Bartleby answering rule, only first three…

Q: hat lump sum must be invested at 6%, compounded monthly, for the investment to grow to $52,000 in 6…

A: Use compound interest formula.

Q: Curve sketching show all work f(x) = sin(x)cos(x) on [-pi, pi]

A: Solution is given below:

Q: IV. In each of the following, evaluate | F(1) dt: 4 1. T (t) = - e-2 j– te' k ; a = 0 and b = 2 1+t…

A: To evaluate  ∫abr→(t) dt for given r→(t).

Q: At time t in seconds, a particle's distance s(t), in micrometers (um), from a point is given by s(t)…

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Q: EXERCISES 4:Find the tangent line at the given point 1. Xy = -4, (2, -2) x? - xy + y? = 7, (-1,2)…

A: 1) xy=-4Differentiate w.r.t xxy'+y=-4Substitute (x,y)=(2,-2)(2)y'-2=-42y'=-2y'=-1Slope of tangent…

Q: Set B 1. Prove using vectors that the points (-1, 3, 3), (0, 1, 2), (2, 2, 2), and (3, 0, 1) are the…

A: As per bartleby guidelines we only give first question answers.

Q: For each problem, use the method of cylindrical shells to find the volume of the solid that results…

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Q: Find the derivative of a function at a certain number using the formula f(x) – f(x1) x-X1 x- x1…

A: Here's the solution, please have a look at it...

Q: 2+ex dx ex Evaluate:

A: Topic = Integration

Q: For the model of Newton's law of cooling LP -2T + 4, T(0) = -2, dt the initial temperature is -2°.…

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Q: (1 point) Consider the sequence In(1/n) an V2n Write the first five terms of a and find lim If the…

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