Find the specific nth term in the expansion of the binomial. (x+y)^15, n = 4

Q: Graph the function f(x) = x + 4/x Graph the secant line that passes through the points (1,5) and (8,...

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Q: f(x) = (3x + 1)(x – 4) / (x + 2)(x – 2) %3D Domain x-int = Intercepts y-int = V.A. Asymptotes and Ho...

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Q: Evaluate the area under the parametric curve given by x = 2, y = 4t – 1² and above the x-axis on the...

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Q: 6. |x²e-2*dx

A: Solved below

Q: Sketch the region bounded by the given curves, then find its area. x=y2, x=y+6

A: Here we have to sketch the region bounded by the given curves.  We have, x=y2, x=y+6

Q: As x → 5+, x² . and x2 – 25 - x2 So the x → 5+ x² lim 25 Therefore, the line x = is a vertical asymp...

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Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, w...

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Q: - Is the given point a Solution to this graph? (-1,–2)

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Q: , for x 1 -X Discuss the contuniuty of f andf".

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Q: Find the vector component of v = 2i – j+ 3k along b = 6i + 6j + 7k and the vector component of v ort...

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Q: Use the guidelines of this section to sketch the curve. х — 5 f(x) x2

A: f(x)=x-5x2Plotting on graph on corrdinate axes

Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

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Q: 4. Find a polar equation in the form r = f(0) of the ellipse with eccentricity e = - such that one o...

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Q: 1)State the order of each of the following differential equations d²y a) 22 + y = x dx - dx2 b) y' +...

A: The order of a differential equation is defined to be that of the highest order derivative it contai...

Q: .Evalnate. the following.denble.integral.s.by.conver.ting. bo ... polar.Coa.r.dinates. .... Ans: 36 ...

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Q: 3. Given the equation y = - 0.5 (x – 1)³ + 2 a) State the base/parent function: b) Use math words to...

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Q: Ssin( /3x)cos(-2r)dx

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Q: Find the coordinates of the vertex and the focus for the parabola given by the following equation: 8...

A: To find out the vertex and focus of the parabola.

Q: Match the quadric surfaces to its graph. A. y? + 22 = 4 + 4x? C. 9x? + 4y? = 36 + 36z2 B. 4x2 + y? +...

A: This is a problem related to the curve plotting in the 3 dimensions. Based on the available concepts...

Q: 4. Find the solution of the following set of simultaneous equations by LT with initial conditions y(...

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: Find the area of the region under the graph of f(x)=2x2−4x+2 on [−2,3].

A: The area can be calculated using the concept of definite integral.

Q: {n(-1)"+2}ñ=o 2200 n=0

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Q: Consider the surface. z2 = 25y %3D Identify the surface. O cylindrical surface O paraboloid O hyperb...

A: We have to identify the surface z2=25y.

Q: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

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Q: L is a line in 2-space or 3-space that passes through the points A ano B, then the distance from a p...

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Q: a) lim x-3 x+1 x2 – 4x + 4 b) lim x-2 x2 +x - 6 y? – 4y – 21 c) lim y-7 3y2 – 17y – 28 t3 +t2 – 5t +...

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

Q: 4. S 2z3 el-z dz 5. S Vx In(Vx) dx Vr3 6. Si, Inx dx

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Q: Find the Taylor polynomial T(x) for the function f centered at the number a. f(x) = x + e-x, a = 0 T...

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Q: 6. у%3D х2 —Зх, y = x

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Q: Consider the parallelepiped with adjacent edges u = 5i + 9j + k v = i+j+3k w = i+ 5j + 7k Find the v...

A: volume of the parallelepiped is given by  u→·v→×w→

Q: Given the graph of a function f (x). Find f (c) and lim f(x) where c are as follow: 20 15 f(c) lim f...

A: Graph of the function is given, we have to find the required limit values

Q: Find the sum of the infinite geometric series. If an answer is undefined, write UNDEFINED. - 216/49...

A: To find the sum of the geometric series.

Q: Evaluate the following indefinite integral (sin z)(tan z) dz. coss z

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Q: Recall y" Second Derivafive Analy'sis goals O track intervals of positive $ = -6x(x²_ax+4) (xta)? (x...

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: Let a = ci + j and b = 3i + 3j. Find c so that a and b are orthogonal. %3D C = i

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Q: e dx

A: Definite integration

Q: its principal argument. 12. Suppose the complex number z is situated along the real x axis, then the...

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Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a...

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Q: Find the volume of the solid generated when the area bounded by the curve y = square root of x, y-ax...

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

Q: Part C lim, -3 h (x), if h (x) : Vx² + 6x + 9 x + 3

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Q: The monthly water charge for a farmer based on his consumption can be calculated using this function...

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Q: 6. Calculate the integral in parts: Je (2x + 4) cos(4x) da.

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Q: 7. Find the equation of the normal line to the curve x+ = 2 at the point (1,9) 3x %3D

A: Simplify the equation of the curve: x+y3x=2

Q: Consider the following. (If an answer does not exist, enter DNE.) F(x) = x/9 – x (a) Find the interv...

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Q: Find the sum of the infinitie geometric series. (If an answer is undefined, write UNDEFINED.) 64+56...

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Q: ven the series 7" Σ n n=1 An+1 find the ratio an (Express numbers in exact form. Use symbolic notati...

A: Given query is to use ratio test, and find series converges or diverges.

Q: Evaluate the improper iterated integral. 1/x5 y dy dx

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Q: d²q (c) dt2 dq = t2 + 2t F(0) = 4 F'(0) = -2 %3D %3D dt

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