Use Q23 implicit different to find dy ldx X²y + xy ² = 6 +2

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.004t² +0.2t, where…

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Q: A) lim x²-x+1 5/3 x+2 3

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

Q: Use Euler's Method to make a table of values for the approximate solution of the differential…

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Q: Given. [₁3 Evaluate. 3x√x² +9dx = 10√10 - 27 [₁³ 3u√u² +9du

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Q: Graph the function y=-2x³. +6x² +2 by identifying the domain and any symmetries, finding the…

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Q: 2 f (sin-¹1) ² dn

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Q: Z 0.68 (0). -0.68 -19.00.00 Drag the surface to rotate 0.68 Drag the surface to rotate t 0.00 .68…

A: From this picture, we can easily get the required traces

Q: Use Newton's method to approximate a root of the equation 2x³ +5x + 1 = 0 as follows. Let x₁= 2 be…

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Q: Finding the area between curves. Below, we see a region bounded by two curves. (graph not…

A: I have appended the formula used in solution procedure.

Q: For the function f(x) = e¹x (6x - 2), use calculus to determine any interval(s) where the function…

A: Given: To Find: To determine the intervals of concave up, concave down and inflection point(s) of…

Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. f(x) = 2 In (x), a = 1

A: A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: You are given the following pieces of information: 43 f (x) dx = -39, What is the value of 27 ² f…

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Q: At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can…

A: The objective of the question is to find the estimated number of cars, N, traveling on a 1-mile…

Q: Use the initial condition y(2) = 7 to determine the value of A that will satisfy the initial value…

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Q: Evaluate the integral by interpreting it in terms of areas. 1₁ ( 2 + √ 49-x²) dx

A: simplify the integral

Q: A box is to be made out of a piece of cardboard 6 meters by 16 meters. Squares of equal size will be…

A: A box is to be made out of a piece of cardbord  meters by  meters. Squares of equal size will be cut…

Q: A cardboard box with an open top must have a volume of 14 ft. If the length of the base is four…

A: The volume of the cardboard box letlength widthheightthe volume of the cardboard box

Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-21,-9)…

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Q: Theorem 4.13. Suppose that f is continuous on the closed interval I and has a derivative at each…

A: use the mean value theorem to prove the questions

Q: 2. In poker, a straight flush is five cards in sequence that are all the same suit. For example, A,…

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Q: Consider the function f(x) below. Over what interval(s) is the function concave up? Give your answer…

A: given function

Q: Recall that if F(x) is an antiderivative of f(x), then so is any function of the form F(x) + C,…

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Q: (Section 4.3) Your task is to estimate how far an object traveled during the time interval 0 ≤t≤ 8,…

A: The given table time (sec)012345678velocity (feet/sec)2610111417182123

Q: Evaluate /² F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

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Q: Find the value of k that makes the antidifferentation formula true [ (4x +1) 7 dx 4x + 1) ² dx = k (…

A: Integration helps to find the value of k.

Q: please shed some light on how you got the critical numbe

A: So, f'(x)=0 gives us

Q: PLEASE PLEASE HELP ME WITH THIS QUESTION, The x y-coordinate plane is given. The curve starts at the…

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Q: (a) Find the initial population. (Round your answer to the nearest whole number.) X bacteria (b)…

A: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

Q: The graph shows the derivative of a function f. If f(0) = 3, what is f(2)?

A: given graph of the f' to find the value of f(2).

Q: The graph of the derivative f'(x) is given below. On what interval(s) is the function f(x) concave…

A: The graph of derivative  is given below. To find the interval(s) on which the function  is concave…

Q: Verify that the hypotheses of Rolle's Theorem are satisfied for f(x) = cos(x) on the interval [3π 5π…

A: 1) f(x) is continuous on [a,b],2) f(x) is differentiable on (a,b), and3) f(a) = f(b)then there…

Q: Find all functions f(x) such that 7x f'(x) - and f (0)

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Q: Let Find the values of a and b so that f will be differentiable at x = 5. a = b = i √(x) = {2x²+ A…

A: We have been given a piecewise function.. We have to find the values of a and b so that f is…

Q: Evaluate by interpreting as the area of a geometric figure (draw the figure and use geometric…

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Q: 6. (a) The curve y = x², 0≤ x ≤ 1, is rotated about the y-axis. Find the area of the resulting…

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Q: n's Theorem to evaluate the line integral (y - x) dx + (2x - y) dy C wen path. : boundary of the…

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Q: Let H (2) places. = Z In(z) Compute H'(2.2). Round your answer to 2 decimal

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Q: Graph the function y=x√578-x² by identifying the domain and any symmetries, finding the derivatives…

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Q: Multiply both sides by x²(x + 1) and combine like terms. Ax(x + 1) + B(x + 1) + Cx² 9x - 1 A = = X…

A: The equation is given by:-

Q: Evaluate the trigonometric integral, using a Pythagorean identity. 3 fm (sec (sec²(0) - 7π/6 6√³…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: The table gives the annual US emissions, H(t), of "super greenhouse gases," in millions of metric…

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Q: The closed interval [a,b] is partitioned into n equal subintervals, each of width Ax, by the O…

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Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: f(x)= [5x+3] e-2x

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Q: Find the local maximum and local minimum values of f using both the First and Secon f(x) = 2 + 6x² -…

A: Given that f(x) =2+6x^2 - 4x^3We have to find local maxima and minima

Q: 9. The radius of a large balloon is increasing at a rate of 2 inches per second. How fast, in cubic…

A: Let r be the radius of the balloon and V be the volume of the balloon That is we are to find the…

Q: Use substitution to find the Taylor series at x = 0 of the function In (1+5x9). What is the general…

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Q: 16 [FIX, F(x, f(x, y, z) ds. S Evaluate f(x, y) = 7y - x S: r(u, v) = cos(u)i + sin(u)j + vk π us T,…

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Q: Verify that the hypotheses of Rolle's Theorem are satisfied for fx √(x)= this interval that…

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