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A: The given geometric series :35+925+27125+...The geometric series can be written as:an=3535n-1 where…

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Q: Find 3 for 2 = In (xº dx Provide your answer below: +y¹).

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Q: (a) Estimate the area under the graph of f(x) = 3√√x from x = 0 to x = 4 using four approximating…

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Q: Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values…

A: Here, cos x=1-x22!+x44!-x66!+... Now, using the estimation theorem: |Rn|&lt;bn+1

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Q: Change from rectangular to cylindrical coordinates. (a) (3, 3, 4) (r, 0, z) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: QUESTION 14 Calculate the maximum value of 4x + 6y subject to the constraints below: 3x + y ≤ 16 x +…

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Q: Ordinary differential equation dx/dy = ( x-e-x )/( y+ey )

A: We can solve as follows

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A: Given: Total fencing is 2400 ft  We know that area of rectangle is length ×width

Q: -1 Evaluate 1×₁√/2 + + 5 1+ 25 A csch ¹1x + C 1 B (D dx csch=15+C csch-¹5+C 1 -csch¯¹|x|+C csch

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Q: Let f(x) = 2x³ + 1. a) Find f(x + h): b) Find f(x + h) − f(x): c) Find_f(x+h)-f(x). h d) Find f'(x):…

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Q: Consider the solid Q limited by the surfaces: And the planes z = x² + y²₁ z=4-2²-y² y√3= x, y = 0…

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Q: What is the monthly payment on a 20 year, $577,000 mortgage, with an interest rate of 6%, compounded…

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Q: (x+2y-1)dx+(5-2x-y)dy=0; y(0)=0, implicit solution  Also: a) Value of y if x=2

A: By arranging the question and then taking boldfaced ratio we'll get the answer. Here,I am providing…

Q: =x²-5x²+4 YA BC D A ) B( ) D( ) )

A: we have to find out behaviour

Q: Consider the curve C of equation: (x² + 2y + y²)² = 4(x² + y²). From the following options choose…

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Q: 1. Let Evaluate the following limit. 7 (t) = (t² + 5, t²-5t+6 t²-9 lim r(t). t-3 > sin(πt)).

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Q: (a) Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = x/2 using four…

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Q: Find P(33 < X < 47) if X is normally distributed with mean 37 and standard deviation 10. For all

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. +9 So. || 4 + 12² || ll ti 247.18 dt =…

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Q: • S/²₁(²+t+1) dt\ Evaluate (A) 0 B (D) 8 w | 00 3 ܗ ܗ 6 10 6 using the Fundamental Theorem of…

A: Given query is to find the value of integral.

Q: Find the locations of local minimum and maximum of X⁹ x⁹-4x8 using the second derivative test. 32…

A: let f(x)=x9-4x8Differentiate with respect to x 9x8-32x7=0x7(9x-32)=0⇒x=0,x=329  are the critical…

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A: We have to choose correct option

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Q: Protected ViewSaved to this PC Search (Alt+Q) Mailings Review View Help 8-9. You want to have…

A: The compounded continuously formula is A=Pe^(rt) Where A= amount  P= principal  r= rate t= time

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Q: 4. Find the absolute extrema of the function f(x, y) = ry-x-3y on the triangular region with…

A: To find the absolute extrema of the function f(x,y).

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Find all exact solutions on the interval 0 ≤ x < 2π. ( csc²(x) − 5 = −3

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Q: . Orthogonal Trajectories y = C (sec x + tan x) Oy² = 2 (C -sin x) 2y = (Csin x)²

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Q: Express the limit as a definite integral on the given interval. n x;* lim -ΔΧ, [1, 7] n→∞ dx i=1…

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Q: HIY I+y+1 1. Let f(x, y) (a) f(2,1) (b) f(1,2) (c) f(a, a) (d) f(y + 1,y) Find:

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Q: A rectangular box is designed to have a square base and an open top. The volume is to be 1372 cm³.…

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Q: f(x,y)=6-3x3-2y2+81x-8y   Find the stationary point(s) of this function.  Determine whether the…

A: We need to partial derivate the f(x,y) to find stationary points.

Q: Use the given graph of the polynomial function to complete the following. a. Estimate the…

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Q: Write the given (total) area as an integral. * The area above the x-axis and below y = 4 - x^2 *…

A: 1)  consider y=4-x2  and y=0    Solve the above two equations   4-x2=0   4-x2=0   x2=4   x=±2Area…

Q: we have 27ft squared of material to build a box of maximum volume with a square base and no top.…

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Q: 2 1 -2 -4 X -1- -2- Write the factored form of the equation of the most appropriate polynomial. f(x)…

A: Since it is touching at x=-1 It means that there are two roots at x=-1 And one root at x=0

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A: Given that the smaller the curvature in the bend of a road, the faster a car can travel.

Q: QUESTION 4 If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the…

A: To find the probability.

Q: 2. y = x(2x+1)³, y"

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Q: Find the absolute extrema of the function on the closed interval. f(x) = x3 − 12x,    [0, 6]…

A: To find the absolute extrema of the given function on the interval [0,6].

Q: Example 5 Video Example Evaluate the following integrals interpreting each in terms of areas. (a)…

A: [5] (a) The given integral is area under the curve y =√(9-x2) [* y2 =9 - x2 or x2+y2 =9 ] and x -…

Q: Find the area of the triangle P QR with vertices P (1, 1, 0), Q(7, 1, 0) and R(9, 4, 2). (Your work…

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Q: A cyclist rides down a long straight road at a velocity (in m/min) given by v(t) = 400-20t, for 0≤t≤…

A: Given query is to find the distance traveled for different times.