Use differentiation to find a power series representation for n=1 1 (5+ x)2

Q: Evaluate (x – 17)dA where Ris the region in the first quadrant enclosed between y = x and y = x³. R…

A: Given curves y=x, y=x3 Now for point of intersection we put, x=x3 So, x(x2-1)=0 So, x=0,1 as x lies…

Q: Use Ay f '(x)Ax to find a decimal approximation of the radical e V10 What is the value found using…

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Q: Verify Green's Theorem by evaluating both integrals v dx + x* dy = // aN ƏM dA ду əx for the given…

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Q: 27x2 + 9y2 - 81 = 0 %3D

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Q: Determine the interval(s) on which the graph of the function f(x) = a – 32? %3D is concave upward.…

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Q: Reacting with water in an acidic solution at a particular temperature, compound A decomposes into…

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Q: Describe the graph of the equation. r = 8 cos t i – 17 sin t j + k O An ellipse in the plane x = 1,…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1' lim t→+∞\ 9t² + 10't (?, ?)

A: We can solve this as follows:

Q: dy Differentiate implicitly to find Then find the slope of the curve at the given point. dx xy-3x-8=…

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Q: y= 2*+☆ -3 sec x; find dy

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find the area enclosed by the curves y=2x², y=2\/x ,x=- and x = 1 4 (A) 45/51 (B) 49/96 59/76 (D)…

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Q: 2x4 h(x). 5x3 + 6 Select the correct response:

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Q: 1. Find the maximum value of r+y subject to the constraint r + y? = 18.

A: The maximum value of x+y subject to the constraint x2+y2=18

Q: 3. Determine the differential coefficient of y + 2x - 3 when x = 7 %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the coordinates of the foci and vertices, the endpoints of the major axis, minor axis, and the…

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Q: Vex – 1 dx c2

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Q: 20. Write the equation of the line that has the indicated slope and y-intercept. Express final…

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Q: Question 4 of 10 m(x) = sec²(e2r+1) %3D Select the correct response. o e2a+1 e2u+1 sec(e2+1)…

A: I am attaching image so that you understand each and every step.

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: Determine f(x) given f'(x)=x^2 -3x+1and f(0)=2

A: We have to find f(x) from given information.

Q: Show the solution.  1) What kind of triangle whose lengths of the sides are 11, 15, and 9? 2) A…

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Q: A wooden box is to be made of lumber that is in. thick. The inside length is to be 6 ft, the inside…

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Q: Use Green's Theorem to evaluate the line integral. dx + ху dy C: boundary of the region lying…

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Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

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Q: Find Duf at P. 1 2. f (x, y, z) = 6x³y°z°; P(2, – 2, 2); u %3D - -

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Q: Find all the values of x such that the given series would converge. 10)" 10" T-1 The series is…

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Q: Evaluate ſ _dx V16-x 4-x

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Q: Find the radius of convergence for: (– 1)"r" Vn +8 72 1 Basic Funcs Trig

A: We have to find the radius of convergence in this question.

Q: Provide a step-by-step solution to the following differential equation (linear quation) y' = x3 -…

A: I am attaching image so that you understand each and every step.

Q: Directions: Solve the derivatives of the following functions using the rules in differentiation in…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Find the volume of a cone with a base radius of 3 in and height of 10 in. Do not round. Be sure to…

A: Find your answer below

Q: Provide a step-by-step solution to the following differential equation (linear quation) y' =…

A: The given differential equation is; y' = x-2ycot(2x).

Q: A tank is discharging water through an orifice at a depth x (m) below the surface of water whose…

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Q: Question 6 of 10 n(x) = csc°(;w) Select the correct response: csc(-a) + cot(x) CSC - 1 sece'(승)…

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Q: 2. 3x 1. 12xe dx

A: We have to find integration.

Q: -3 d) de e) co f) dx x-2 + 4 cot x dx e2x - 1

A: Solution in step 2

Q: Consider the parabola - 2.x? + 20x – 4y – 62 = 0 O What is the vertex of this parabola? (r, y) What…

A: The given parabola is:…

Q: Find an equation for an ellipse with foci (+12,0) and vertices at (±13,0).

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Q: 3. Calculate the volume and total surface area of the solid prism shown. 11 cm 4 cm 15 cm 5 cm 5 cm…

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Q: B. Express each equation of the ellipse in standard form. Determine the equation and the length of…

A: We have to draw the ellipse.

Q: 9 Find the length of the major axis of the equation x 2 + 4y 2 = 4. 8 2 4

A: Standard equation of ellipse is x-h2a2+y-k2b2=1 with major axis is the horizontal axis.And length of…

Q: I-y 1. Let f(1,y) Find: %3D I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1, y)

A: Given f(x,y)=x-yx+y+1   a) f(2,1)=2-12+1+1    f(2,1)=14   b) f(1,2)=1-21+2+1     f(1,2)=-14

Q: 7. Find all values of x that make (x, 1, –3) and (x, 2, x) perpendicular vectors.

A: I am attaching image so that you understand each and every step.

Q: lim *+1) x-l x+3

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Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 9 is…

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Q: A particle moves with acceleration a(t) = 10 sin t + 3 cos t, s(0) = 1, v(0) = 2. Find s(t).

A: We have to find s(t)

Q: S Evaluate L-'{- | (s² + 144)(s – 8)

A: We have to evaluate  L-1ss2+144 s-8.   We know that L-1ss2+a2 = cosa·t L-11s2+a2 = 1a·sina·t L-11s-a…

Q: 1) An automobile traveling at the rate of 20 m/s is approaching an intersection. When the automobile…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 s ts 1. (y – x) dx +…

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Q: 2x-4 | 5e dx

A: To evaluate the given integral.