When f is the function defined by 2x - 5, x ≤ 1, < x > 1, f(x) = S 5x 52 – 9,

Q: The figure below shows the derivative F' of F. Let F (0) = 0. F'(1) ਜਿਹ 8 + 2 4 6 Of the four…

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Q: How much more interest will be earned if $5000 is invested for 6 years at 7% compounded…

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Q: Calculate the integral approximation Se for √₂ 741 dx. S6 =

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Q: Calculate the integral approximation S6 for 1 Så 21 dx. zº+1

A: we have to calculate the integral ∫4911+x6dx  using S6 here   a = 4   and  b = 9  and n = 6    here…

Q: Find the arc length of the curve defined by the parametric equations x(t) = t + 3 and y(t) = 9t-8…

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Q: 13. h(x) = f In 1 dt t

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Q: G Question 1 Priv Tern You have $400,000 saved for retirement. Your account earns 4% interest. How…

A: need to find out the monthly withdrawls that the person can do.

Q: 8 [(x - 5 -9 (x - 5|x) dx

A: use the value of the absolute function.

Q: If f(x, y) = 4x² - 7y², then the total differential of fat x = 1 and y=-2 is; O df = 28 dx + 8 dy df…

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Q: A spherical balloon is being inflated with helium at a rate of 201 cm³/min. How fast is the…

A: topic - application of differentiation

Q: Use the divergence theorem to calculate the flux of the - vector field F(x, y, z) = x³i + (8y −…

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Q: The system of first order differential equations y₁ = -6y₁ + 8y2 + 1 y₂ = 8y1 - 6y2 + 1 where y₁ (0)…

A: Please see the below pictures for detailed solution.

Q: 56. L²₁ dx 2 x² 3 2

A: ∫xndx=xn+1n+1+clet  I=∫-124x3dx

Q: Which hyperbolic identity corresponds to the trigonometric identity sin²(x) sinh2(x) = | 1 -…

A: Find the hyperbolic identity

Q: For f(x, y) = e²z+15y, find the second order partial derivatives fry and fyr of the function. O…

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Q: Find the area of the region enclosed by y=e5x, y=e10x and x=1

A: To find area of the region.

Q: Compute the flux of the vector field F(x, y, z) = 3i + 23 + 2k through the rectangular region with…

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Q: A consultant estimates that the total weekly computer usage by the company employees to be:…

A: Given query is to find the computer usage for first 14 weeks.

Q: Consider the function in the graph to the right. The function has a relative maximum of 3 o at x = 0…

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Q: onvert the line determined by the symmetric equations - 2 y+1 - 3 form. -2 parametric t) = t) = t) =…

A: Given query is to find the parametric form of the line.

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250…

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Q: . Зп 2п f (x) dx

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Q: A window is being built and the bottom is a rectangle and the top is an equilateral triangle. If…

A: total perimeter of the section( P ) = perimeter of rectangle + perimeter of triangle let width of…

Q: 4. Use the table in the book to find the Taylor series for the function, centered at the specified c…

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Q: Find the time required for an investment of 5000 dollars to grow to 8100 dollars at an interest rate…

A: Topic:- application of algebra

Q: The rectangular coordinates of a point are given. Plot the point. -1.5 -1.0 O (1, 0) (r, 8) = -0.5 y…

A: The objective is to solve the above question.

Q: Consider the line y = ax, where a is a positive constant. What is the shortest distance between the…

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Q: Prove that, a.) lim X10 b.) lim X O 3x + 1 X+1 sin x X 1 1

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Q: Find differential of the function y = dy = dy When x = 3 and dx differential. dx. = = (x²+4)³. 0.05,…

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Q: Suppose F = (5x - 5y)i + (x + 5y)j. Use Stokes' Theorem to make the following circulation…

A: We need to solve using Stokes' theorem.

Q: Question 5. 56 The inverse Laplace transform of s² + 64 is Asin(bt), where A and b are constants…

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Q: Solve the FIRST ORDER LINEAR D.E. sin e Linear in r dr de = -1- 2rcos 0

A: To solve the given linear differential equation

Q: A window is being built and the bottom is a rectangle and the top is an equilateral triangle. If…

A: Area

Q: Determine the second derivative of the parametrically defined curve represented by the equations…

A: Use the chain rule to differentiate with respect to t.

Q: Find the least squares app (-2, 0), (-1, y(x) =

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Q: 12. R(y) = fr 1³ sint dt

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Q: Suppose f(x) is continuous on [2, 7] and -3 ≤ f'(x) ≤ 3 for all æ in (2, 7). Use the Mean Value…

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Q: Question 4 What are the associated roots for R(x) in the differential equationy"-y= R(x) whereR (x)…

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Q: -3x² 2√√8-³ (a) Show that f'(x)=- for x < 2. The graph of y = f(x) is shown in Figure 9, along with…

A: Given a function f(x)

Q: If the supply and demand functions for a commodity are given by 6p -q = 60 and (p + 2)q = 4830…

A: given  6p-q=60.......1           (p+2)q=4830........2from equation  1,   q=6p-60  put in euqation 2

Q: Compute [In(4)/3 @3x (@3x + 6)³ dx.

A: To evaluate the given integral

Q: Find an equation for the graph sketched below B 8p KRAGEN PARAU

A: To write an equation for the given graph of a function

Q: The figure below shows the derivative f' of f. f ' (x) 4 10 + x मुंह 2 6 8 12 (a) Choose all…

A: We know Function increasing when f'x≥0Function decreasing when f'x≤0

Q: The integral ₁ |102² – 2³ – 24x| da MUST be evaluated by breaking it up into a sum of three…

A: The given integral is:∫-15 10x2-x3-24x dx

Q: Let f(x) be a continuous and increasing func [F(t)di 0 0,00) and let F(x)= X '(x) is increasing on…

A: Topic:- application of derivatives

Q: 57-58 A particle is moving with the given data. Find the position of the particle. 57. v(t) = 2t…

A: As per the guideline one question is allowed to solve if multiple question is asked in single window…

Q: 42. Given that "sin'x dx-, what is sin¹0 do?

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Q: 12. Determine whether or not the given function (defined on -∞0 <2<x) is periodic. If it is, find…

A: A periodic function can be defined as:A function returning to the same value at regular intervals.…

Q: Write the value of the expression as a single fraction o 7 33 9 X 14 11 45 X > Next Question

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Q: 15 A company's marginal cost function is c(x)=- where x is the number of units. Find the total cost…

A: NOTE: Refresh your page if you can't see any equations. . the given marginal cost function is