Let y(t) be the solution of y"+y = 46 (t-2 m), y(0) = 1, y'(0) = 0, then y(k)= ..... where k=8.3.

Q: A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a…

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Q: List the two critical numbers of the following function in increasing order. g(t) 50t2/3 +10+5/3 =

A: g(t)=50t23+10t53for critical numbers put  g'(t)=0d dt(tn)=ntn-1

Q: 5 3) S-²³2 235-1 dx a) Briefly explain why this integral is improper.

A: Follow the procedure given below.

Q: Find the total differential. 5x + y 10z - 4y dw = W =

A: According to question,Given Function,w = 5x+y10z-4y

Q: A parametric equation of a line in R³ through the point (ro, yo, Zo) and parallel to another line…

A: As we given that equation of the line passing through the point (x0,y0,z0) and parallel to another…

Q: The function f(x) = (5x+8)e5x has one critical number. Find it.

A: Given query is to find critical point.

Q: True or false: For any real number a > 1, d[a® ] = log₁(x) aª

A: let y=axlogxn=nlogxd dx(logx)=1x

Q: Find all the values of x such that the given series would converge. Answer: Note: Give your answer…

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Q: The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and…

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Q: Taylor and MacLaurin Series: Consider the approximation of the exponential by its third degree…

A: We have to find the error in the following given expression.

Q: The symmetric equation of the line that passes through the points A(1, 2, 3) and B(4, 6, 8) is:

A: line passes through ( 1, 2 , 3 ) and ( 4 , 6 , 8 ) Line can be given as below : vector of line ( 4…

Q: Ise technology to evaluate the given expression. Take 5.7 A=[_ }] 44.4 0 12.7 -42.22 -73.998 139.24…

A: NOTE: Refresh your page if you can't see any equations. here we have

Q: If y = x³ - 4√x, find the differential dy. Your answer will be in terms of x and dx. Enter då as dx.

A: Given query is to to find differential.

Q: (b) P(x, y) = x + y, Q(x, y) = 2y 17-04-1 P dx + Q dy = ƏD ap 16 (32-SP). dx dy = X X

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Q: Suppose that f(x, y) = 1x¹ + 1y¹ - 1xy then the minimum is Submit Question

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Q: 2. The radius of an adjustable right circular cylindrical tank is increasing at a rate of 2 cm/hr…

A: Given :A=2πr2+2πrh

Q: The function T(x) = 0.15(x-8390) + 839 represents the tax bill T of a single person whose adjusted…

A: Given :   for T(x) = 3712.70 Adjusted gross income= $27548

Q: The cost of producing x smart phones is C(x)=x²+800x + 4000. (a) Use C(x) to find the average cost…

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Q: State the range for the radical function 0 -5 5 0 -5 5

A: Range of a function y=f(x) is the set of values of y from minimum to maximum.

Q: Find the average rate of change of f(x) = x³ - 2x+8 over the following intervals (a) From 7 to -5…

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Q: Evaluate the triple integral. JE 3z dv, where E is bounded by the cylinder y² + z² = 9 and the…

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Q: The number of yeast cells in a laboratory culture increases rapidly initially but levels off…

A: The number of yeast cells in a laboratory culture increases rapidly initially  but levels off…

Q: Evaluate X - 4y - lim (x,y)→(0,0) 6y +7x

A:

Q: Find the derivative f(x)=√x+17, (f¹)'(x)=0 of the inverse function on the given interval. for x ≥ -…

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Q: house was valued at $95,000 in the year 1985. The value ppreciated to $150,000 by the year 2003. )…

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Q: Suppose that f is differentiable at x = 5. If f(5) = 1.4 and f'(5) = 3.6, then use the linear…

A: Local factorization of f(x)is  La(x) = f(a)  + f'(a)(x-a).

Q: If f(x) = 5 sin x + In(3x), find f '(x). f'(x) = Check that your answer is reasonable by comparing…

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Q: Find the global maximum and minimun of the function f(x, y) = y√x − y² − x + 3y on the domain…

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Q: The population of an unknown bacteria in an experimental culture is estimated by the population…

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Q: - / 2x³ - 8x² - 63x + 10 X 2 x² - 4x - 32 dx

A: We are required to find the value of ∫2x3-8x2-63x+10x2-4x-32dx

Q: Suppose P(x) represents profit on the sales of x computers. Suppose P(25,000) = 12,000;…

A: given :

Q: Find the curvature of the curve y = x at the point (1, 1).

A: To find curvature of given curve at (1,1) point.

Q: Given that f(1.5) = 1 and ƒ(1.7) = −–8.3, approximate ƒ'(1.5). f'(1.5) 46.5

A: It can easily solve by newton forward formula.

Q: find the volume of the solid generated by revolving the region in the first quadrant bounded above…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: the demand, q, is  q=√1600−4·p^2,   Find the Elasticity, E, in terms of p. If the price is p=10,…

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Q: Given xy + 2x + 3x² = 1: (a) Find y' by implicit differentiation (leave your answer in terms of x…

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Q: Find the equation of a plane that is perpendicular to the vector -3i+5j+3k and passing through the…

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Q: In parts (a)-(f), use the given figure. (a) Solve f(x)=20. (b) Solve f(x) = 34. (c) Solve f(x)=0.…

A: Here we have given a function f(x) and it's graph. So first finding the equation of the given…

Q: It is determined that the value of a piece of machinery declines exponentially. A machine that was…

A: A machine that was purchased 7 years ago for $62000 is worth $38000 today.

Q: QUESTION 4 Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or…

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Q: Use the calculation thought experiment to say whether the expression is written as a sum,…

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Q: Find the Maclaurin series and corresponding interval of convergence of the following function. ∞…

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Q: Mike has created a function explaining the productivity of his company. He knows his employees…

A: GivenNumber of bicycle parts ready to be shipped=500Number of bicycle parts produced by the…

Q: Find the Taylor series for f(x) = ln(1 + 4x) about x = 0 by taking derivatives. Σ n=1 Compare your…

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Q: 1) A tank in the shape of an inverted right circular cone has height 12 feet and radius 5 feet. The…

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Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions. Label all…

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Q: The function f(x) = x³ — 48x has a local maximum at x= , and has a local minimum at x= . Note that…

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Q: II) Consider the two vectors u = and v=. a) Find u and v. b) Find u x v, u x vand u. v.

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Q: B C 7,5 D E F G

A: absolute extrema:  absolute extrema is a point at which maximum value of the function is obtatain

Q: Suppose g(x) is a constant function such that g(x) > 0 for all ï. The limit 4x² + x g(x) - 2x is…

A: