Integrate x cos (2x + 7) dx. sin(2x²+7)+C cos(2x²+7)+C A B. (sine) C. 4 (x²+7) D. sin(2x²+7)+C Integrate: (7x³+4x²) dx. 7x³ 3 A. +C 4x² 2 +C

Q: Let f(x) = 4x² + 2x - 8. Answer the following questions. 1. Find the average slope of the function f…

A: SOLUTION:-   Here given function,    f(x)=4x2+2x-8(a) We need to find the average slope of the given…

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Q: 1. Determine if the values of the variables listed are solutions of the system of equations. 3x + 3y…

A: System of equations:3x+3y+4z=24x-y-z=04y-4z=-36x=3, y=-3, z=6; (3, -3, 6)

Q: starting point. 401 36- 32- 28+ 24 20- 16- 12- 84 4+ 0- 0 L graph shows the -=+1(1)/ Time (hours)…

A: Note: As per our Guidelines we can solve first three subparts. Please repost remaining parts.

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A: To approximate the area under the curve graphed below from x=3 to x=6 using a Left Endpoint…

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A: Given;

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Q: Use a change of variables or the table to evaluate the following definite integral. 0 0 S 3π 2 Зл 2…

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Q: Integrate f(x,y) = √√4-x² over the smaller sector cut from the disk x² + y² ≤ 4 by the rays 0 = H…

A: The given function is:f(x, y)=4-x2We have to integrate the given function over the smaller sector…

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A: The given vector field is: Fx, y=y-cos(y), x sin(y)Now path is:  C:  (x-5)2+(y-4)2=4

Q: Let u = 2i - j, v = 4i + j, and w = i + 5j. Find specified scalar u . v + u . w.

A: We will apply dot product of vectors.

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Q: PROBLEM NUMBER 17 ●fe-et- Evaluate e-t 4 dt..

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Q: (3 pts) A window has the shape of a rectangle surmounted by a semi-circle. Find the dimensions that…

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Q: Use Euler's method with step size 0.1 to construct a table of approximate values for the solution of…

A: we have   x0=0   ,    y0=1            h=0.1 ,          f(x,y)=x+y   y1=y0+hf(x0,y0)    = 1+0.1(0+1)…

Q: Suppose F(x, y) = 5yi + 2xyj. Use Green's Theorem to calculate the circulation of around the…

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Q: Find the inflection points of thefunction f(x) = e(23 - x²). INTERMEDIATE WORK f'(x) =…

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A: We know that the formula sec^2(t)-tan^2(t)=1

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Q: A rectangular storage container with an open top is to have a volume of 12 cubic meters. The length…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8x [(ellx + e- x) dx

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Q: Let u = (-6, 2) and = (3,-2). Compute the following: u.v= v. u= ||||²= 7 (u-v) = = (7u). v = ú. (7v)…

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

Q: Find div F and curl F if F(x, y, z) = xz7i+ 6y¹²x²j + 6z²yk. div F= curl F=

A: To find div F and curl F if Fx, y, z=xz7i+6y12x2j+6z2yk.

Q: exist that fit the following criteria? C=75°, c=4, a=7

A: C=75°, c=4, a=7

Q: Use the power series 4-2 1 = 1 + x f(x) = ∞ to find a power series for the function, centered at 0.…

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Q: Consider the function f(x) = arctan(5x). Show that the graph y = f(x) and its tangent line y = g(x)…

A: Given function, f(x) = tan-1(5x) (1) The line tangent to y = f(x), y = tan-1(0) = 0 The point at x =…

Q: Find the radius of convergence and the interval of convergence of the power n n+1 X series Σ…

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Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 15 m/s, its height…

A: The height of the rock after t seconds is given by the function:h(t)=15t-1.86t2

Q: Please help with # 14 thanks

A: To solve the following

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A: We need to find dimensions of rectangle.

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Q: Consider the following system of linear equations. -5x+20y=-40 -9x+40y=-80 Solve the system by…

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Q: Find the work done by the force field F in moving an object from A to B. F(x, y) = 2y³/2 i + 3x√y j…

A: NOTE: Refresh your page if you can't see any equations. . the given force field is  the given…

Q: of each rational expression. 1 x (x² + 1) x² (x − 1)²(x + 1) x² 19. 23. 27. (x − 1)²(x + 1)² - +4

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A: y=2x-36-5x4

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Q: If f(x)= x − 4 and g(x)=√x -2; which of the following is equal to x-2 √x X (J)(x) ² - 4( √√x-2) x-2

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A: given, x=t  and y=5t

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Q: Use the graph to evaluate the limit. lim f(x) -6-5 k 2 3 4 5 6 x

A: The existence of limit at x=a⇒limx→a-fx=limx→a+fx=limx→afx

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