f'(x) = 5ex + 2/5 ४ Select one: O True O False Give your reasons + -6 | 5 en

Q: Use the graph of f(x) = below to find a number 8 such that f (x) -0.25 <0.1 whenever 0 < x-4 < 8. A…

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Q: Let f(t) = et^2 be an integrable function defined on the closed interval [-x, x] on ℝ. If F is the…

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Q: Find the DE: y' tanx sin2y = sin2x + cos2y

A: Let's solve given differential equation.

Q: 1. Work with the quadratic function y(x) = 2x² + 2x + 2. (a) Find the roots. (b) Define the axis of…

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Q: 4. Find the radius and interval of convergence of the following: (-1)-¹(x-1)" n2" a. M8 n=1

A: Given; Summation of (-1)n-1(x-1)n/[n2n], n from 1 to infinity.

Q: E +5x² - 6x = e pass -

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Q: 5. 2 + 4 + 6 +...+ 2n = n(n + 1)

A: Given : 2+4+6+.....+2n=n(n+1)check for n = 1 2=1(1+1)2=1(2)2=2Therefore it is true

Q: (a) lim 8118 5x2+1 3x - 4x²

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Q: 12. The function f(x) and its first and second derivatives are as given below. 1-x x² (a) Domain of…

A: The given function fx=1-xx2, f'x=x-2x3, f''x=6-2xx4. We have to find the domain, intercepts,…

Q: 8) If f(x)=√x7 +6, find f'(x)

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Q: a²f A- Let f(x, y) = sinx+ x5y + In(1 + y2). Find ах ду B- Use the Chain Rule to find the derivative…

A: Given :A.fx,y=esinx+x5y+ln1+y2B.w=xy

Q: How: Approximale Approximale to Lan (1) Use the local liner approximation hear approximate tan…

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Q: Commission A personal-computer salesperson receives a base salary of $1,198 per month and a…

A: First we find the function E(s) using the given data

Q: (a) Sketch a graph of a function f such that: of' 0 and f" > 0, for x > 3. (b) Does the graph of…

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Q: pls solve the laplace transform of this function. you can use the table of laplace transformations…

A: To find the Laplace transform of given function

Q: 1). function f(x) = x³ - 15x² + 12x. Find the critical numbers of the 2

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Q: In the following question, enter 000 to say "does not exist" Use the First Derivative Test to find…

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Q: For each description, create an equation: (a) for logarithmic decay where the base is 10 (b) for…

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Q: 5. Find y' if y = [ln(x² + 3)]³/².

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Q: Let X denote the length of a randomly selected phone call (in minutes). The probability density…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: The population of rabbits in a forest over a 12-month span can be represented by: (+) Where r(t)…

A: Please see the below picture for detailed solution.

Q: 3. Find the minimum distance between the origin and the surface z² = x²y+4 using any of the methods

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Q: Which of the following is true of the rational function y = O It has a zero at x = 2. Its range is…

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Q: 5) Find the instantaneous rate of change of y at xo = 2 x5 with respect to x

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: Determine the interval(s) on which the graph of the function is concave downward. a. (-∞, 1) b.…

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Q: b. Use the graph to determine if r' (1) and r'(8) are positive or negative.

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Q: Find the point on the parabola that is closest to the point (0, -3). HINT:…

A: It is given that the point is (0,-3) and the parabola is given x+y2=0. Let the closest point on…

Q: 5. Find the particular solution of the differential equation y' - 3xe = ey that satisfies the…

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Q: -5-4-3 then a = ON- and b H - 6A -5- -4- -3- 2 N -1- OF -1- --2 -3- --4- છે બ If this function has…

A: From the information given in the graph, we have to identify the function.

Q: (a) Find an equation of the tangent(s) to the curve at the given point. x = t³-t, y = e²t + 3t+2;…

A: We will find the required.

Q: A circular arc has a central angle measuring 115⁰. If the circle has a radius of 12 meters, what is…

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Q: The coordinate of the invariant points when f(x)=x+2 is transformed to y=√√x) are: (a,b) and (c,d).…

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Q: Find the volume of the solid inside the hemisphere Z= x² + y² - 4x = 0. 16-x² - y² and the cylinder

A: We use polar coordinates to solve the given problem.

Q: The demand function for device model JCE523 is given by p(x) = 440 (in dollars) and is the quantity…

A: Given query is to find rate of change of demand. Bc

Q: 7. Assume that the carrying capacity for a certain region is 800 million. The population was 282…

A: Logistic Model  ⇒Pt=M1+Ae-kt  ⇒M= carrying capacity ⇒A=M-P0P0⇒P0=Initial population  at t=0 ⇒t= time…

Q: For the probability density function (pdf) {1.2(2². (2-3x+x²) 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 O…

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Q: For the series below calculat indicated accuracy. Σ n=1 - 1)^6 n1.3 lerror] < 0.01

A: The given series is: ∑n=1∞-1n6n1·3|error|&lt;0.01 In order to find the number of n terms that must…

Q: For the function f (x) = −7x3 − 2x2 + 3x, Step 1 of 2:  Find the slope of the tangent line at x =…

A: Given that f(x)=-7x3-2x2+3x

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

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Q: f cos(2-3x) cos (3x - 4)dx

A: Given integral ∫cos( 2 - 3x )cos( 3x - 4 )dx

Q: 4. Evaluate the double integral given by •3 I f X 1 - dydx X

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Q: Find the divergence of the field. F = ze xyz + xe xyzj+ ye8xyzk div F =

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Q: demand function for device model ADN781 is given by p(x)=510−0.18x2, where pp is the unit price (in…

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

Q: Given

A: Topic:- application of algebra

Q: Find the absolute extrema of the function f(x) = 2x³ - 3x² - 12x + 2 on the closed interval [-2, 3].…

A: The given function is; f(x)=2x3-3x2-12x+2 on interval [-2,3]

Q: Please help answer question 7 and 8 thank you

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Q: A. José is blowing up a beach ball at a constant rate of 9 cubic centimeters per 2048 second. When…

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Q: Find the radius and interval of convergence of the following: ∞ n! η b. Σ" (x – 3)" 2" n=1

A: Given series:- ∑n=1∞n!2nx-3n

Q: When b < 0, the function g(x)=√√bx has what relationship to the base function f(x)=√√x? O f(x) is…

A: Given that , gx=bx , b&lt;0 what is the relationship to the base function fx=x.

Q: my question is for the highlighted parts, can you explain how you got the exponent -3/4 and -7/4?

A: Explaining the highlighted parts