Write the sum using sigma notation. 12 +2²+ 3² + + 14² k = 1 Need Help? ... Read It Watch It

Q: = The region bounded by the curve y x² + 1 and the line y = -x + 3 is revolved about the x-axis to…

A: The region bounded by the curve and the line

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A:

Q: t f If function f is defined by f(x) = cos* dt, then f(x) = A)-x² cos = B) x cos // C)_cos D) -cos…

A: The function is defined by .The aim is to find the derivative function .

Q: 1. y=x√x²-2

A: Note: According to our policy, we can answer only the first question or the first three subparts of…

Q: Find a particular solution yp of the following equation using the Method of Undetermined…

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Q: f(x) is a twice differentiable function on x € [4, 6] with selected values given in the table below.…

A: f(x) is a twice differentiable function on x∈[4,6]

Q: 2 x 15. lim x→1 (x − 1)²

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Q: Differentiate the function. g(x) = (x5 - 6x)-2 9'(x) = 2x + 4

A: To differentiate the following function.

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Q: Sketch the region enclosed by the graphs of the given functions. Determine whether it is more…

A: Given that the region is bounded by curves

Q: Find the derivative of the following function y = [x² cos(3t) t7 dt using the appropriate form of…

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Q: +2w||.

A: u=<1,2,3>, v=<2,2,-1>, w=<4,0,-4>

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Q: Write the given function as a power series. cos(x) - 1 = Evaluate the indefinite integral as an…

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Q: Question 2. Chun starts with numbers a, b 20 and puts them on a line. Then they draw a semi-circle…

A: from the figure

Q: A jet airliner is flying at a constant altitude of 10,000 m above sea level as it approaches a…

A: The figure

Q: Consider the equation (2xy² + 4x) dx + (2x²y + 2y) dy = Show that the equation is exact.

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Q: 36. cos 0 = 0.8771

A: 36. cos⁡θ=0.8771

Q: The graph shown represents the history of a person learning the material on limits and continuity.…

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Q: -7x + 2y = 1 Direct variation Constant of variation: O Inverse variation Constant of variation: O…

A: Given that the equation 2x=6/y and -7x+2y=1 we have to find choose the correct option

Q: Given three vectors, u, v, and w, if u (vx w) = 0, what geometrical result can be concluded? a) u,…

A: Given that for three vectors  is

Q: 15dx (x - 5)(x+10) Select one: O a. 15ln(x - 5)(x+10)|+C O b. x-5 x+10 In C. x-5 x+10 d. Inx-51+In/x…

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Q: The slope of a nonlinear relationship changes as the variables change.

A: Since you have posted multiple independent questions, according tot he guidelines, only the first…

Q: A schematic drawing of a 70-ft dome used by a weather service to house radar is shown to the right.…

A: from figure ,Let AB=yBC=xand AC=35 ft.

Q: A 74 N weight is suspended by two ropes that make angles of 55° and 75° with the ceiling. Resolve…

A: Since the system is in static equilibrium, all the forces acting on the object are balanced. Draw a…

Q: Given the graph of the function f below, determine all possible inferences that can be made about f…

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Q: Consider the rational function f given below. f(x) = x^2-x-30/x^2+x-20   Identify any vertical…

A: The objective of this question is to identify the vertical asymptotes of the given rational function…

Q: Write an equation for the graph below in terms of a 5. 3 3 2 -2

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Q: S₁²+ x² + 12x +35 Select one: O a. Inx+5 +1n|x +7 |+C O b. In|x+51 In x+7| (In)x+ 5 )(lnx + 7) + C…

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Q: What is the area of the region in the first quadrant between the x-axis, the graph y = O O Select…

A: The function of the graph is The shaded region starts from  and goes to infinite distance.

Q: Consider the function below: (-1.9,3.0) Interval 1: (-1,4) Interval 2: Identify all intervals over…

A: Consider the function below. To identify all intervals over which the function is increasing.Note:…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Lim (1-12) *

A: We have to find .

Q: Write the equation of the line tangent to the graph of the function at the indicated point. As a…

A: The given function .The objective is to find the equation of the tangent line at .

Q: Write the following function in the form of a binomial series. 5 (4 + x)³ 00 x D)(₁+( | ¾/ 1+ 4 Use…

A: The given function is 5/(4+x)3.

Q: (BC Topic) fx'sin xdx = Select one: O a. =x-cosx + 2xsinx+2cosx+C O b. x²cosx + 2xsinx-2cosx + C Oc…

A: Consider the integral

Q: A particle moves along the x-axis so that at time t≥ 0 its position is given by x(t) = t² 11t39.…

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Q: 30° 83. Find the exact lengths x, y, and z. Answer 100 ft x = 50 ft, y = 100√3 3 -ft, z = 200√3 3 X…

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Q: Use the chain rule to find dw dt xey/2, w = xey dt x = t³, y = 2-t, z = 7+ 9t

A: Given Function is as follows

Q: What is the order of the following differential equation? Explain your answer. y’’’ + 2y’’ + y’ + 4y…

A: The given differential equation is

Q: 3x4+2x³+1 x +∞0 2x5+x+1 d) lim

A: The limit is given byTo determine: the value of the limit.Formula used:

Q: Find the dimensions of a cylinder of volume 9 m² of minimal cost if the top and bottom are made of…

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Q: Find all complex numbers w such that w ² = -1

A: Given that The nth root of the complex number  is

Q: A 74 N weight is suspended by two ropes that make angles of 55° and 75° with the ceil Resolve the…

A:

Q: 1 The functions y = 0 and y (C a constant) are solutions to the differential equation y'=-y. Use…

A: Given that  and  are the solution of differentail equation

Q: (

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: 2= 2120 5 BA SINA: JINCI A COS A: COSC: 3 5 C

A: Given,AB=4BC=3CA=5

Q: In Exercises 21-28, find a cofunction with the same value as the given expression. 21. sin 7° 23.…

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Q: Given the function f (x) = x4 - 4x³ - 9, determine the absolute minimum value of f on the closed…

A: Given function isTo find the critical points differentiate given function and equate it to zero.so…

Q: On what interval(s) of x is f(x) positive (f(x)>0)?   On what interval(s) of x is f(x) negative…

A: Given: To Find: (1) To determine the interval(s) of x, where f(x) is positive.(2) To determine the…