1) di If f(x+k) dx=8, where k is constant, then -1 k+3 Shfl k-1 f(x) dx=?

Q: Assume the bucket is leaking.It starts with 5 liters of water (5 kg) and leaks at a constant rate.It…

A: We need to find work done.

Q: Write 1 =x+5 9 as a piecewise-defined function. 1. f(x): = 2. f(x) = f(x) = - 1 x+5, x ≥ −45 9 1…

A: for f(x)=xf(x)=x,  x≥0-x,  x<0

Q: /3 ㅠ ㅠ Given that 1 ≤ tan(x) ≤ √3 on [1,1], estimate tan(x) dx. 4' 3 < f/3³ tan(x) dx <

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Q: (part 1 of 3) x¹, x ≤0 f(x) = ={ x-9, x>0 aluate the function for x = 2.

A: a)  for x&gt;0  f(x)=x-9      for  x≤0, f(x)=x4

Q: (a) [ 18 18x5 sin (9x²) dx

A: Let's solve given integral.

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: The given curves are: y=ex,     y=0,     x=-1     and     x=1

Q: 3. Using vertical Shrinking and stretching, sketch the graph of the given functions in the same…

A: I have solved step by step in detail....go through the solution

Q: x1 --- X2 X3 X4 x5 (For each question, enter your answer as a comma-separated list, e.g., x1,x3,x5.…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: State the sign change at the transition point C in the figure. y y = f(x) A B C D E F G -X What is…

A: To state the sign change of the function at the point C.

Q: 6. Use a series to find the limit. x-In(1+x) x² a. lim x-0

A: Not Since you have asked multiple question As per our policy, we will solve the first question for…

Q: 4) Evaluate 0 2 X Je dy dx X

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Q: Where does the relative maximum value of f occur when f'(x) = x³ - x? (a). -1 (b). 0 (c). 1 (d). 2

A: concept first find x when f'( x ) = 0 if f''( x ) &lt; 0 then maxima will occurs if f''( x ) &gt; 0…

Q: Using Integral test, determine convergence or divergence for Σn (Inn)³3 * n=3

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Q: Some ecologists divided a female bird population into three categories: juvenile (up to 1 yr old),…

A: We have to find the population of birds.

Q: Suppose that 3 ≤ f'(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of…

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Q: 37. f (x² + e¹) dx

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Q: Find dy/dx. x= t/7+t, y= sqrt(7+t)

A: Given Equations:- x=t7+t y=7+t

Q: 43. Let f(x) be a continuous function. Express (2) + (2) + + lim as a definite integral. +(A)

A: Given expression:- limn→∞1nf1n+f2n+..........+fnn

Q: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 135°. Enter…

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Q: he altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. ∞ (b)…

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Q: Evaluate SS √1 + x² + y² dS where S' is the helicoid: r(u, v) = u cos(v)i + u sin(v)j + vk, with 0…

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Q: IS IT POSSIBLE TO DO THE TRAPEZIUM METHOD AND THE SIMPSON METHOD AGAIN BECAUSE IT IS INCORRECT

A: Give the exact values of the approximations provided by these method b)trapezium methods c)Simpson's…

Q: With reference to the attached scenario: The 100 meter diameter wheel needs to be designed so that…

A: We need to solve wheel problem.

Q: Determine whether divergent. ∞ n! n=1 is absolutely convergent, conditionally convergent nn

A: we will find the required.

Q: Consider the following.   36 7   2x + 1 dx   0  Let  u = 2x + 1.  Find du. du =

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Q: Find the equation of the tangent line to the parabola y 2x2x+3 at x = 2. Circle your final answer

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Q: Find the area of the region enclosed between f(x) = x² + 11 and g(x) = 2x² +2. Area = Note: The…

A: Given query is to find the area enclosed by the curves.

Q: Calculate ff f(x, y, z) dS For x² + y² =9, 0≤ z ≤ 6; Js f(x, y, z) dS = ¯ f(x, y, z) = ez

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Q: Please write in a better format. I do not understand how the problems is developed when letters and…

A: To determine the second derivative of the following parametrically defined curve.xt=2 sin3tyt=-cos3t…

Q: What is the minimum possible perimeter for a rectangle whose area is 100 square inches?

A: Given query is to find the minimum possible perimeter.

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. ∞ (2) Σ…

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Q: Question Determine the integral that can be used to find the arc length of the curve defined by the…

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

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Q: Below is the graph of a function

A: From the given graph of the function. The value of function is defined independently at x=-3.

Q: Parameterize the ellipse given by x (t) = y(t) = 25 = 1 so that when t = 0, we have the point (5,0).…

A: Given Equation:- x225+y21=1

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: J 4 √ (61 0 (6t - 3) dt

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Q: Why does I1 = ln(u) in step three?

A: We have to tell why does  I1 = ln(u) in step 3

Q: the derivative of the following using the Four-Step Rule. 1. x/1-x

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Q: farmer blended corn and weat to make 40 pounds of chicken feed. if the blend consisted of 3 parts of…

A: Given query is to find the quantity of corn.

Q: D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

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Q: 2. Find a and b so that y = x³ + ax² + b will have a relative extremum at (2,3).

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Q: Find the point on the plane x - 2y + 3z = 9 that is closest to the point (0, 2, 1). 5 3 23 8'4'8 )…

A: The equation of the plane  x-2y+3z=9

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

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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: Problem 5: Find the two points on the curve y = 2x² that are closest to the origin. (Explain why x =…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the given function is a…

Q: Evaluate the integral.

A: Given,            ∫042sdsTo find : Evaluate the integral.We know that,             ∫2xdx=2xln2+C;…

Q: 5. Using geometric series, 1 1-z =1+x+x² +· Στ TL=0 find a power series expansion for the function,…

A: To find the power series expansion of given function

Q: Suppose that the demand of a certain item is q = 50e-0.02p. Remember, elasticity is given by the…

A: