Assignment: Consider the region bounded by the parabolas: 2 2 y = x + 4x + 3 and y = x + 2x + 3. B. Calculate the volume of the solid when the region is revolved about the x-axis.

Q: ly the Ratio Test to determine convergence or divergence, or state that the lim n→∞ an+1 an n n² + 1…

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Q: Find the arc length of y = (*2²)* + over [1,4]. 2(x+2)² (Use symbolic notation and fractions where…

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Q: Evaluate the definite integral. 7 7 4 X X-5 X X-5 dx = dx

A: To evaluate the following definite integral. ∫47xx-5 dx

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Q: How do I use the chain rule to find the derivative of (y=(cosx+2sinx)8)? I know (cosx=1) and…

A: Chain Rule of differentiation: If y= f(u) and u=g(x) , then y=f(g(x)) , so then                 dydx…

Q: (a) Show that (b) Solve the equation -1 cos(2 tan ¹x): = (d) Find the general solution to cos 7x…

A: Note : As per our Guidelines , we can solve first part as your all parts not too small . Please…

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A: Given profit function  p( x ) = 2000xe-x40 Where profit in dollars  x is the units sale

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Ft=A·ert     Ft=19000·e0.094·t   A.  For t = 9 Ft=19000·e0.094·t=19000·  e0.094·  9=44275.83

Q: Find the present value of a continuous income stream F(t) = 20 + 8t, where t is in years and F is in…

A: To find the present value of a continuous income stream Ft=20+8t, where  t is in years and F is in…

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Q: Find h'(t) if h(t) = h' (t)= 6 1/6 6 5/7

A: We have to find firse derivative of function h(t).

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Q: Cheap Chips Corp. has determined that the profit, in dollars, derived from the production and sales…

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Q: Use the standard Maclaurin series for sin(x) to find the first three non- zero terms in the…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: y 10 7 -10 -5 5 10 (a) Identify the function. Orational O exponential O radical O quadratic O…

A: A graph of the function is given. We have to identify the type of the function and find its…

Q: Answer: f" (x)= 2x (x² In² (2)-2x In (2)+2) X³

A: f''(x) =[2x(x2ln2(2)-2xln(2)+2]/x3 Find the value of the function at x=2.

Q: Let F(x, y, z) = (P(x, y, z), Q(x, y, z), R(x, y, z)) = (y cos(x) — y, sin x +2yz − x, y² + 1) be a…

A: To show that the vector field F = (P, Q, R) is conservative, we need to demonstrate that its curl is…

Q: Evaluate the limit: lim X-7-3 sin (x+3) 2 x² +8x+15

A: The given limit is limx→-3 sinx+3x2+8x+15

Q: An general equation for the plane passing through the points (0, –1, 2), (−1, −5, 4), and (2, –4, 3)…

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Q: Find polar coordinates for each point in rectangular coordinates with a positive radial coordinate…

A: Given :- Rectangular coordinates with a positive radial coordinate and a negative radial coordinate.…

Q: əz дz Use implicit differentiation to find and Әх ду дz Әх дz ду = = II x2 - y2 + z² - 42 = 3

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Q: Find an equation of the line tangent to graph of F(x) x² + 1 x²_4 2 (3,2). write the equation in the…

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Q: Find the volume of the solid that lies below the paraboloid using Double integrals in Polar…

A: This is question of calculus Here we have to find volume using double integration method  Curve…

Q: Fast pls solve this question correctly in 5 min I will give you like for sure. Select the domain of…

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Q: A function fhas a slant asymptote y = mx + b (m‡0) if lim [f(x) - mx + b] = 0 and/or lim [x)-mx + b]…

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Q: The equation of the line that goes through (3, 2) and (-7, 10) can be written in the form y = mx +…

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Q: Question 5 Which values fall within the range of this function? f(x) = -4x+3+2? Select all that…

A: To determine the value that falls within the range of  the following function. fx=-4x+3+2

Q: Determine all significant features (approximately if necessary) and select a graph. f(x) = 2 42-84…

A: We have to draw the graph.

Q: If f is a differentiable f'(x)=x55x4+ function and 5x³+2, then fis concave up on

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Q: Please circle the final answer. Specify each answer of each section to which question it is related.

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

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Q: Suppose that f(x) is differentiable function Such that f'(2) = 8 f (2) = 4, if then what is the…

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Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ(x, y)=2x² + y² subject to the…

A: fx, y=2x2+y2subject to the constraint x2+y2=1

Q: Consider the two functions f,g: [−1,5] → R, whose graphs are given below. 4 y = f(x) y = g(x) 3 3 2…

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Q: Find the vector parametrization r(t) of the line L that passes through the points (4, 1, 2) and (9,…

A: The line L passes through points 4,1,2 and 9,3,7

Q: A man gets a job with a salary of 31800 dollars a year. He is promised a 2780 dollars raise each…

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Q: Express the limit as a definite integral on the given interval. 2 lim Σ 19(x;*)3 – 5xi]Δx, [2,7] i =…

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Q: Evaluate the double integral (3.x - y) dA, where R is the region in the first quadrant enclosed by…

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Q: Calculate the linear combination. 5(i +2j) - 3(2j+ k) + 7(2k − i) = (x, y, z) (Give your answers as…

A: To calculate the following linear combination. 5i+2j-32j+k+72k-i=x, y, z where,  x=?y=?z=?

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) =…

A: we have given velocity function v(t)=5t-9

Q: 3. Find the local extrema of the given function z(x,y)= x³ - 8y³ -12xy + 18

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Q: Without a calculator work out the value of 5632–1402 1128 – 1 10 4 Please share your mettrod.

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Q: What is the largest number that uses each of the seven Roman numerals exactly once?

A: To find the largest number that uses each of the seven Roman numerals exactly once.

Q: Construct a limit evaluation problem with an answer of 1.

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Q: Use the formula T = T(t) = [r'(t) = r²(e)] - '"(t) x Ir'(t) x r"(t)|2 T(0) = r(t) = 7t, to find the…

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Q: Use the table to the right to find the given derivative. d[ f(x) dx x+3 x=4 f(x) [X3] (Simplify your…

A: Given that ddxfxx+3x=4

Q: Determine the slope and the equation of the tangent to the curve f(x) = sin(x) + sin(x) at x=

A: f(x)=sin2x+sinx at x=π

Q: -∞ x² et³dx.

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