out:  ∫ x2sinx dx

Q: Consider the function f(x) = x² - 3x + 2 x + 5 a. Find the first derivative. f'(x) x². + 10x - 17…

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Q: 13. 17. = 57 +27 +Z and Ƒ = 3ī+j+z, determine -.

A: Topic = Vector

Q: Use the formula k(t): k(t) = ||r'(t) × r"(t)|| ||r'(t)||³ r(t) = e³ti + e¯tj to find k(t).

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Q: ∫ lnx dx

A: Here is the solution:

Q: Choose the best estimate for 280° in radians. A. 3 B. 4 5 D. 6

A: To estimate 280° in radians.

Q: se the four puzzle pieces to create a piecewise graph that fits the domain and range.  You may…

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Q: Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let |a|…

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Q: k(a + b) = kā + kb conveys which property of vectors? a. commutative property of addition b.…

A: To determine the name of property conveyed by ka→+b→=ka→+kb→.

Q: Find the slope of the line y= 8x +8

A: We need to find out the slope of the line.

Q: C. Find the complete solution of the d.e. y" - 5y' + 4y = 8ex, y = c + Yp using Variation of…

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Q: Find the complete solution of the d.e. y" - 5y' + 4y = 8ex, y = y + Yp

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Q: Let P(1, 2, 0), Q(4,6,0), and R(6,14,0) be 3 points in 3-space.  Find the vector projection of PQ…

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Q: global and local maximum A local minimum D local maximum C local minimum Consider that the plot…

A: Given Figure:-

Q: Evaluate the indefinite integral by using the substitution u = x + 1 to reduce the integral to…

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Q: If f(x) = 3x² - 7x + 6, find f'(4). Use this to find the equation of the tangent line to the…

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Q: The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the…

A: See below the answer and calculation

Q: Find the arc length L of the graph of r(t). L || r(t) = 2 cos(t)i + 2 sin(t)j + tk, 0≤ t ≤ 2π

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Q: Find the volume of the parallelepiped determined by the vect č = (2,3,1). Volume = cubic-units

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Q: What is the x-intercept for the function:   f(x) = 8− 2x  2. What is the asymptote for the function:…

A: Topic:- application of calculus

Q: A gun with a muzzle velocity of 860 ft/sec is fired at an angle of 5° above the horizontal. Find the…

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Q: dx √√√x² 2 X - 1

A: We have to find the given integral∫dxxx2-1

Q: C. Find the complete solution of the d.e. y" - 5y' + 4y = 8ex, y = c + Yp using Undermined…

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Q: Use a graph to estimate the values of x such that ex > 100,000. (Round your answer to three decimal…

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Q: Find the limit.

A: Follow the procedure given below.

Q: A company rents cars at $35 a day and 18 cents a mile. A second rental company's cars are $45 a day…

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Q: Find the center and radius of the sphere given by the equation x^2 + y^2 + z^2 + 4x − 6z + 4 = 0.…

A: Given equation of a sphere x2+y2+z2+4x−6z+4=0

Q: || д хр -XS - 7

A: NOTE: Refresh your page if you can't see any equations. .

Q: If the population of bears was 21 in 2014 and grows at a rate of 4% annually (n=1), how many bears…

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Q: Let a = (-4, 4,-2) and 6 = (-4, 2,5). Find the angle between the vectors (in degrees).

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Q: If a = (2, -1, 7) and b = (2, 2, 1), find the following. axb = bxa =

A: The given vectors a=2, -1, 7 and b=2, 2, 1. We have to find the values of a×b and b×a.

Q: Q4). Using appropriate substitution integrate [ πx√1 + x² dx.

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. 0 2 2 -36 J-24 yz dx dz dy =

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Q: Find d -(3¹). Type In(x) for the natural logarithm function. dx

A: Given ddx( 3x ) = ?

Q: 5. Simplify. Write as a single power. K a) 3(35) ÷ 3³ b) 10⁹ ÷ (10³ × 10²) 6. Simplify. Write as a…

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Q: Show that v=ai+bj is perpendicular to the line ax+by=c by establishing that the slope of the vector…

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Q: A company has found that the cost, in dollars per pound, of the coffee it roasts is related to C'(x)…

A: A company has found that the cost of the coffee is related to C( x ) = -0.012x + 8.25

Q: latitude, in S, increases. There are 34 species at I cies at 44°S.¹ Find a formula for the number,…

A: Given: There are 34 species at 11 degree S. There are 26 species at 44 degrees S. Let, N represents…

Q: Find the arc length of the parametric curve. x = e et, y=et, z = √2t; 0≤t≤5 L =

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Q: Determine the average rate of change of the following function between the given values of the…

A: f(x)=x4-xx=-3  and x=2 formula for averge rate of change is average=f(b)-f(a)b-a

Q: Let's use our equation dV dt dr dV dt We now have = dt = 42 dr dt 1 47.² and solve for dr is…

A: Given problem:- ⇒dVdt=4πr2drdt ⇒drdt=14πr2dVdt

Q: Use the graph to find the limit ( it exists). ( an answer does not ex, enter ONE) f(x) -10 **1 10

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Q: 7. Imagine that it is now 2 p.m. What time will it be when the minute hand has rotated through 300°?…

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Q: Derive the reduction formula used to evaluate ∫ sinn(x) dx.

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Q: Use a triple integral to find the volume of the solid bounded by the surface y x² and the planes y +…

A: Given that , Surface : y=x2 Planes : y+z=2 and z=0 Find the volume of the solid using triple…

Q: The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to…

A: Given we can conclude the graph is as follows

Q: You are given the following functions. (I) y = x²-5 x² +5 (II) y = x² +5 ²-5 (III) y = 5 x² +5

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Q: 5. Which of the following has the greatest y-intercept? (1) y= 2² >-(0″ (3) 2 y=-2 +5

A: We know that at x= 0 find value of y that is y-intercept. Here given that some function and we find…

Q: Find the domain and range of the function represented the graph.

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the domain…

Q: If f is continuous and 2 1² f f(x) dx = 4, find '1 f(2x) dx. f

A: Given; The integration of f(x) limit from 0 to 2 is equal to 4.

Q: Consider the following. Function f(x): f'(x) = == 8 Find the slope of the given line. slope = -1…

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