Find dy dx dy dx = at (-6, 1) if xy = X 18/ x + 3 (Round your answer to four decimal places.)

Q: (f) / 1 x(lnx)³ dx

A: Answer No. (f): To evaluate the following integral.Note: Since you have posted multiple questions…

Q: 22. Determine the area of AABC with vertices A(3,-2,4), B(1, 3, 2), and C(-1,2,4).

A: we are given three vertices of a triangle and we need to find its area.

Q: 2. Consider the function: (a) Calculate Vf at the point (0,2). Vf(0, 2) = f(x, y) = y² sin(3x) + 5y…

A: The objective of the question is to calculate the value of the function Vf at the point (0,2) and to…

Q: 3. Evaluate the integral. (a) f(ti+t²j+t³ k) dt (b) f((1+²) i-4t¹ j - (t²-1) k) dt π/4 (c) f/4…

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Q: (20%) Use the following principle of differentiation y' = (y) = (y + Ay)− Y = lim Ay _ dy d = lim dx…

A: Solution is following in explanation step.

Q: Complete the long division. + 3x +9 2x² + 6x + 4 + + +

A: The answer to the long division is 32​xwith a remainder of 4.Explanation:

Q: Find [COR cosh’(t) sinh(t) dt . 2

A: To find the following integral.

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 5…

A:

Q: Given the following Case 1 rational function, 3x-6 x² - 2x + 1 Identify the matching response for…

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Q: 5. Let f(x) = 3x³ + 2x + x+ 1 x²+x-2 . What types of asymptotes does f(x) have? horizontal and…

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Q: Q4 A): Using the definition of derivative, find f'(x) the of the following function : f(x)=√x+5+x²

A:

Q: Determine the interval of convergence of the following power series (−1)n-12n+1 Σn=0 (2n+1)! ²

A: The objective of this question is to find the interval of convergence for the given power series.…

Q: Consider the helix r(t) = (cos(4t), sin(4t), -2t). Compute, at t = : A. The unit tangent vector T…

A: Given that

Q: 28 :) P = = 5² Squared directly with Z=2 and inversely J 2=4 IP P = 2² when 28 5 P when == 2 and r =…

A: p varies directly as the square of z and inversely as r. p = k .............(1)Where k is constant…

Q: Find an equation for the graph sketched below -5-4-3-2 8+ 7 654 5 4- 3 2 244 1 -3 -4 -6 -7 1-8+ * ď

A:

Q: Compute f(g(x)), where f(x) = x and g(x) = 8x - 5. d dx To compute f(g(x)), first find f'(x) and…

A: Given Formulas we use:

Q: The price p (in dollars) and the demand x for a particular clock radio are related by the equation x…

A: The price p (in dollars) and the demand x for a particular clock radio are related by the equation x…

Q: Find the gradient vector field of f =1/2(x^2-y^2) and sketch it.

A: The objective of this question is to find the gradient vector field of the given function f = 1/2 *…

Q: The figure below shows the graph of a function over the closed interval [-1,2]. y=f(x) Answer parts…

A: From the given graph

Q: If the total cost function for producing x lamps is C(x) = 960 + 37x + 0.6x² dollars, producing how…

A:

Q: Find the limit, if it exists, or type N if it does not exist. 4x² lim (x,y)→(0,0) 3x² + 2y² 0

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Q: Consider the space curve r(t) = (4 sin(5t), 2 cos(5t), 2√3 cos(5t)). a. Find the arc length function…

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Q: Which answer represents the top graph derivative?

A: We are given the graph of the function.When the function is increasing, the derivative of the…

Q: a. S 1 x(M - x) -dx

A: According to the bartleby guidelines we are supposed to do the first one of multiple questions…

Q: Compute the length of the curv L= ¹rve r(t) = (2t, ln t, t²) over the interval 1 ≤ t ≤ 2 =

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Q: When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium…

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Q: Solve cos(8) decimal places. 0 0.2 for solutions on the interval 0 ≤ 0 < 2. Write your answer(s) in…

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Q: 2) Calculate the following: 1 0 0 Xp 6:90- 0 1 0 Ур 001 Zp/ =?

A: ⎝⎛​xp​yp​zp​​⎠⎞​Explanation:     ⎝⎛​100​010​001​⎠⎞​⎝⎛​xp​yp​zp​​⎠⎞​…

Q: wing. The ellipsoid 2x²2 + 7y² + z² = 50 intersects the plane y = 2 in an ellipse. Find the slope of…

A: Solution-

Q: If f(x) = 3 + - LO 5 5 2 12 3 Find f'(3). x 5 6 + X 22 find f'(x).

A:

Q: The position function of an object is given by 5(1) - (2² − 1 ) ( ¦ + 3). distance, s, is in metres.…

A: The position function of an object is given by , where time, t, is in seconds and distance, s, is in…

Q: 2. Ifc = [m, n, 1] is perpendicular to both a = [4, 1, -2] and b = [2, -3, -8], find m and n.

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Q: Approximate cos COS 10 c a = || 2π 1/2 by using a linear approximation with f (x) = cos x. (257) ≈…

A: The Linear approximation of a function f(x) at x=b is given by, where x=a is some fixed value near…

Q: Use the definition to find the Taylor series (centered at c) for the function. f(x) = ex c = 0

A: The given function isThe centered value is

Q: Suppose f(x) = In f'(x) = ex4 (x-7) X Find f'(x). (Hint: Apply the laws of logarithms to f(x) before…

A:

Q: α. Σ=of (2k) b.Σ=2f()_c.Σ=19(f(k)).

A: we need to evaluate the sum."Note that as per the rules, we are supposed to answer the first three…

Q: (a) Suppose that the velocity function of a particle moving along a coordinate line is v (t) = 9³…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: If z = 7x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

A:

Q: Exercise 1: Show that the probability associated with the state n for a particle in a…

A: Answer: The prove is given below in detail.Explanation:

Q: (Calculate the limit lim x²+x+12

A:

Q: The graph of y=√x is shown in black. Match each equation with a graph above. y=√x+2 y = √√√x+2…

A: The graph of  is shown in black. To match each of the given equation with their graph.

Q: (2) n=1 n²-2√n +1 1-n-3n²

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

Q: Evaluate the following limits: x²-16 a) lim- x-4x²-x-12 b) ) lim (x-2)(x+2) x3-1.x A) A) 2 B) 8 B) 0…

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Q: A tank, shaped like a cone has height 5 meters and base radius 3 meters long. It is placed so that…

A: Given:radius of cone r= 3 m height of cone = 5 ma cubic meter of water weighs = 10000NTo find:work…

Q: Find the length of the curve correct to four decimal places. (Use a calculator or computer to…

A: The given curve equation The length of the curve for  is

Q: Quick Print Press borrowed ​$20 comma 000 from the Provincial Bank on May 25 at​ 7.5% and secured…

A: The objective of the question is to calculate the payment that Quick Print must make on October 31,…

Q: No hand written responses. I need help with a step-by-step breakdown (explaining each step in the…

A:

Q: z = y² sin (3x) + 5y Calculate the derivatives. You do not need to simplify your answers. Əz dx 1.…

A: z=y2+7t,y=8st

Q: Completes parts A-E below: A. Find the marginal cost function. C(x) = 160+2.7x-0.06x2…

A: According to the Bartleby guidelines we are supposed to do the first three sub parts of multiple sub…