dy dt - -6y, y(0) = 4

Q: uppose that m1 3, m2 5, and m3 1 are roots of multiplicity one, two and three, respectively, of an…

A:

Q: Determine if the function (x) = 11x² - 2x² is even, odd or neither?

A: A function y=h(x) is said to be an even function ifh(-x)=h(x)   A function y=h(x) is said to be an…

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A: Given

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A: We can solve the given problem by using the concept of combinations.

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A:

Q: -2 (a) f(1) = (b) f'(0)= -1 (c) Is f'(1.5)>0? ("yes" or "no") (d) lim h-0 f(h-1)-f(-1) h =

A: Note:As, per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

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Q: Find three numbers whose sum is 24 and whose sum of squares is a minimum.

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Q: se the Pinching Theorem (section 2. (a) If 7x+2 ≤ f(x) ≤ x² +8, what is t in(-²). (b) Evaluate the…

A: According to new guidelines, we have to solve only 1 question, if there are more than one questions.…

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Q: Suppose for a particular commodity, & = 1.1 and that currently 10,000 units are selling for $14 each…

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Q: Evaluate: [ 72¹5. sec (2³) tan(2³) da dx =

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Q: Suppose that f(x, y) = 3x + 2y at which −1 ≤ x ≤ 1, −1 ≤ y ≤ 1. Absolute minimum of f(x, y) is…

A: We have the function f(x,y)=3x+2yAnd the domain is -1≤x≤1,-1≤y≤1.

Q: dN A city has a population of 25,000 in 2010 and the expected growth rate is 3.5% per year, that is…

A: Given differnetial equation:- dNdt=0.035N

Q: 2. Consider the function f: R → [-1, 1] defined by f(x) = sin(x) and the function g: [-π/2, π/2] →…

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Q: Let R be the region bounded by y = x², x = 1, and y = 0. Use Cylindrical Shells method to find the…

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Q: Calculate the indicated limit. If the limit does not exist for any reason type DNE. lim 9(x² - x -…

A: Given query is find the limit.

Q: 4 9. A particle moves along the curve implicitly defined by xy¹ - yx¹ = x - y². When the particle…

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A: Given: Graph is given . We need to find the volume of the object

Q: log, (log₂ (6x − 1)) = 2. -

A:

Q: A trough is 2 meters long, 3 meters wide, and 1 meters deep. The vertical cross-section of the…

A: Please see the below picture for detailed solution.

Q: 8. Select the inverse of f(x) = ½¼½ (2)* + 1. [ƒ¹(x) = log₂ (2x + 2) |_ƒ^¹ (x) = log₂ (1/x -…

A:

Q: The equation x²y + xy + y = x³, x>0₂ has the solution y = C₁x + c₂xlnx+ True O False 1 10 تر

A: If y=c1x+c2xlnx+110x3 is the solution of the equation x2y''+xy'+y=x3then it must satisfy this…

Q: +(1+3) sin.xdy = 0 34. cos x dx + 1 +

A:

Q: Use the chain rule. If y = √u and u = x2 + 11, find dy dx 11 dy dx

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Q: could you pls solve the following  1 a)  In three-space, find the intersection point of the two…

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

Q: Mark each statement as true or false. a.) If a function is differentiable at x=3, it must be…

A: Topic = Application of Derivative

Q: Suppose that f(x, y) = x³y². The directional derivative of f(x, y) in the directional (2, 1) and at…

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Q: parametric equations of a plane are y= 2-s+t Find the y-intercept of the |z=-5+5+ 2t ne. 2 -1 3 1 .

A: We will find the required.

Q: at is the average rate of change between x-2 and x-3 for the function g(x) = 4(x + 1)² -5

A: Given query is to find the average rate of change.

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Use the given zero to find the remaining zeros of the function. f(x) = x4 - 21x² - 100; zero: -2i X…

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Q: f(x) = 2x^2/2x^2-1 Find x- and y- intercepts Find all vertical asymptotes and horizontal…

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Q: Suppose f(x) = 7x²+5x. Find: ƒ'(1) =

A: Given query is to find indicated derivative.

Q: (A) lim h-0 LOV (B) lim f(x) x-a Graph of f The graph of y=f(x) is shown above. Which of the…

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Q: Let f'(x) = f(x)= x cos ³

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Q: If then f'(x) = f(x) = cos(sin(x)),

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Q: Question 11 Give the form of a particular solution of a) Oz-Are +Be+Cx com(3x) +Dxsm(3x)+8 b)…

A: Note : according to our guidline i can solve only first

Q: Find the absolute maxima and minima of the function on the given domain. 13) f(x, y) = x2 - 2x - 2y2…

A: Given function is  f(x,y)=x2-2x-2y2+2y And closed triangular region is bounded by the lines x=0,y=3…

Q: on my corrections, the answer shows up as 1/25

A: Given, limx→5x-51x-15

Q: Discuss the continuity of the function. f(x, y) = 1 - cos(x² + y2) x² + y² continuous everywhere…

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Q: The graph of the derivative f' of a function f is shown. y 0 2 X = y = f'(x) 4 6 X (a) on what…

A: If the part of the graph is on or above x axis then y≥0.   If the part of the graph is on or below x…

Q: get

A:

Q: Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to…

A: Given: The gives series is ∑n=1∞sin212nn3   To find: We have to use The sum of the first 10 terms to…

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 80,000+500x. (A) Find the…

A: Solution is given below:

Q: 12) Σ(3) test: converges/diverges

A: ∑n=0∞2en

Q: 1 1 (1++ + ·x". Justify your answer. n Find the interval of convergence of the power series n=1…

A: Given series is ∑n=1∞(1+12+13+....+1n)xn

Q: Let y = (x³ + 8). Use the General Power Rule to find the derivative. y' =

A: The given function y=x3+88. We have to find its derivative function.