1. fx sin x dx OA. integration by parts OB. neither OC. substitution

Q: a) Find a potential function for the vector field, i.e., find a function ƒ so that F =Vƒ. b) Use the…

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Q: Find the value or values of c that satisfy the equation the following function and interval. f(x) =…

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Q: Which of the functions shown below is differentiable at x = 0? Select the correct answer below: -

A: The function is not differentiable at x=aif the function is undefined(Hole or vertical asymptote) at…

Q: Question 10 If f is odd and f is differentiable, then f' is odd. O True False

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Q: Use the Divergence Theorem to evaluate [/F. F. N dS and find the outward flux of F through the…

A: ∫S∫F⋅NdSF(x,y,z)=xi+yj+zkS:x2+y2+z2=25Using the Divergence Theorem∬SF⋅NdS=∭EdivFdV…

Q: Compute all the second order partial derivatives of f(x, y) = x² cos(y).

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Q: Given that 3 L³ex ex dx = e³ - e, use this result to evaluate [²³3 3ex + 2 dx.

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Q: Let R be the region bounded by the graphs of IT y=2sinx and y = 2cosx fromx = 0 to x = . Which of…

A: Given that the region is bounded by the curves  from

Q: Complete the table to determine the balance A for P dollars invested at rater for t years,…

A: The objective of the question is to calculate the future value of an investment of $2500 at an…

Q: A calculator may not be used for the following questions. For problems 3 and 4, region Q is bounded…

A: The region bounded by curve

Q: Find ♬ as a function of x and evaluate it at x = 0, x = π/6, and x = π/2. -["sin e de Ꮎ F(x) F(0)…

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Q: Consider the graph of y = f(x) shown below in blue. Submit your answer to this question by…

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Q: Suppose that a function f is defined by f(x) = f*" (e-t³+3t)dt. Determine the intervals on which f…

A: f(x)=∫0x(e−t3+3t)dtLeibnitz Integral Ruleddx∫g(x)h(x)f(t)dt=f(h(x))h′(x)−f(g(x))g′(x)

Q: The marginal revenue of the xth box of flash cards sold is  200e−0.003x dollars per box.  Find the…

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Q: Find the critical points of the function f(x,y) = 8 + 76xy + 38x^2 + 240y + y^4/4

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Q: Determine if the following function is continuous and differentiable at x = 0. ex - sinx 13x² + cos…

A: We need to determine if the function is continuous and differentiable.

Q: Let f(x, y, z) = ey-z² X Find gradf(1, 1, -1) and G(x, y, z) = fyy- faz. УУ

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Q: 17-22. Position from velocity Consider an object moving along a line with the given velocity v and…

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Q: 3. What is the smallest perimeter possible for a rectangle whose area is 16 cm², and what are its…

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Q: Find the unit tangent vector T and the principal unit normal vector N for the following…

A: The unit tangent vector:The principal unit normal vector:

Q: Write an equation for the ellipse. Type the left side of the equation in the box below. =1 *** COB 2…

A: The standard equation of an ellipse with a major axis parallel to the x axis and center  is

Q: Express the following statement using absolute value notation: In an experiment, the measurement of…

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Q: The quantity demanded x (in units of a hundred) of the Mikado miniature cameras per week is related…

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.003t² +0.2t, where…

A: Given that in a memory experiment the rate of memorizing is given by  ,where M'(t) is the memory…

Q: Let F(x, y) = x³ + y³ − 3x − 12y + 20. Find the critical points of H and classify the kind of local…

A: The given function is .

Q: 3) dy Find X by implicit differentiation. √√√x+y+√xy = 4

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Q: Using the € - d definition of limit, prove that 2x lim x 2 x + 6 1 NI

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Q: Determine q'(x) when q(x) = 8(4¹) X4 Sorry, that's incorrect. Try again? q'(x) = |

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Q: Which of the following satisfies the differential equation ď²y dx² 9y = 0. A. y = e³x B. Y = e -3x

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Q: 1. Find the integral O A. 0 B. 00 5 3. S 2 C. 26 du 2u E. 5 du 2u 5 2du U 2 OD. None of these 1.20⁰…

A: Given that, the following integral            ,we need to use the substitution method to obtain the…

Q: Find B and for the space curve below. r(t) = (6 sin 4t)i + (6 cos 4t)j + 7tk T = 24 cos 4t 25 4¹) ₁…

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Q: Sex. (x+y)ds where C is the straight-line segment x = 3t, y = (3-3t), z = 0 from C (0,3,0) to…

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Q: (1) Consider the function f(x, y) = x³ - 2xy - y². (i) Verify that (0,0) and (-2/3, 2/3) are the…

A: Note:-Since you asked  multiple sub parts questions, according to our policy we can solve only first…

Q: Let f(x) = x³, and compute the Riemann sum of f over the interval [2, 3], choosing the…

A: The given function is The midpoint rule

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: we are given tbw function and intervals, we need to find the absolute maximum abd absolute minimum.

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give…

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Q: AB is the vector from the point (1, 2) to the point (3, 4). Calculate the magnitude of AB a) √√3+5…

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Q: (BC Topic) Which of the following integrals gives the arc length of the graph of f(x) = cos2x + 5…

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Q: D ▶Region D is bounded by y=x² and y=x. Draw the region. Set up the integral xdA in two different…

A: Region D is bounded by . To draw the region. To set up the integral in two different ways: in the…

Q: particle moves along line segments from the origin to the points (3, 0, 0), (3, 5, 1), (0, 5, 1),…

A: Given that the vales:-

Q: Use a convergence test of your choice to determine whether the following series converges or…

A: Th3 given series is .

Q: Using methods from class, which of the following choices of u could be used for finding a² e da…

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Q: Approximate the area of the region bounded by the graph of f(t)= cos (t/2-/8) and the t-axis on…

A: The width of each sub interval is ( 9π/8 - π/8 )/4 = π/4We can calculate the height of each…

Q: The function f(x) = x¹ = 7x³ +9x² +27x - 54 can be factored in the form f(x) = (x-r₁)(x - ₂)². Using…

A: From graph zeros are ● The graph crosses the x-axis at .  with multiplicity 1● The graph passes…

Q: Find the slope of the curve below at the given points. Sketch the curve along with its tangent lines…

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Q: If f (x) = -x, what is f'(2)? Type an exact answer. Provide your answer below: f'(2) =

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Q: For f(x) = Evaluate the following expression. Select the correct answer below: 01 04 02 O The limit…

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Q: When calculing the Laplace transform of the function f(t)=t-sinh(t) is obtained as a result: A- F(s)…

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Q: Select the graph for which a) ƒ¹(x) > 0 and f11(x) > 0

A: It is given that, the f'(x)>0 Which means the function f(x) is increasing.Therefore Graph-a is…

Q: Below is the graph of f(x) = 5x³ - 4 and the line y = 3x + 7. Graph a line tangent to the graph of f…

A: The given equation of function is  and equation of line