(n° -9n? +16n-8)÷ (n-7)

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t=0 T(0) = N(0)

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Q: The equation y = log(x – 3) has a vertical asymptote at: X =

A: The graph of log(f(x)) has a vertical asymptote at the value of x such that f(x)=0.Example: for…

Q: "en J(2, 9) 5y), find =(z, y) = (z, y) = -(z, y) = %3D

A: We wil find the second order partial derivative.

Q: Find

A: We will find the derivatives.

Q: Determine whether E1(-1)" sin n3 is absolute convergent, conditionally convergent, or %=D1…

A: We have to find the series test

Q: find the laplace transform L{cosh3tsin3t}

A: Solved below.

Q: Predict the general term, or nth term, an, of the sequence. - 12, 36, - 108, 324, - 972, ... an…

A: Here we have to find the general term.

Q: d 6. dx sin(t) dt

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Q: Differentiate the following 1)2xsin-13x

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Q: 3. Write each quadrant bearing as an equivalent true bearing. a. S12°W b. N50°W

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Q: -13x²+4x³+2x-7 x²+3x-2

A: see below the calculation and answers

Q: Jse a graphing calculator to construct a table of values and a graph for the first 10 terms of the…

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Q: Find the radian measure of the central angle of a circle of radius 3 meters that intercepts an arc…

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Q: Choose any 5 of the following problems to complete. Solve the problem by following the procedure for…

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Q: The growth rate of a fungus varies over the course of one day. You find that the size of the fungus…

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Q: Evaluate the line integral F. dr, where F (x, y) = (3+2xy) i+ (x² – 3y²) j and C is the curve given…

A: Given problem:-

Q: Approximate the area under the curve 4=メ Right Endpoint from x=3 to メニの USing approximation with 6…

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Q: Given the relation x² – xy + y³ = 11, determine the slope of the line tangent to the curve at (-1,…

A: Explanation of the answer is as follows

Q: Simplify the expression log; 175.

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Q: 00 E(-1)ª-1. 3 Jerror| < 0.0007 n=1

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Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

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Q: f(x)=x^3+6x^2−63x+6 A. interval [-8,0] 1.Absolute Max= 2.Absolute Min=  B. interval [-5,4]…

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Q: What is the equation of the tangent line to the curve defined by the given function at the point…

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Q: 7. (2x-y)dx+x dy = 0 Ans x+=c

A: Given problem:- solve (2x2-y) dx+xdy=0

Q: A recent survey conducted in a nearby town showed that 791 out of 1,495 people do most their holiday…

A: Here, the sample proportion is =7911495=0.5291 Now, for 90% confidence z=1.645

Q: 18 13 f(x) dz - f(x) dx = f(x) dx where a = and b =

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Q: The graph below is the function f(x) 5+ 4 3 -5 -4 -3 -2 -2 -4 -5+ Find the following. If no value…

A: Given problem :-

Q: Suppose that F(x) = f(t) dt, where V5 + uo du. f(t) = Find F" (2). F" (2) =

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Q: Use a Taylor polynomial to show that, for large wavelengths, Planck´s Law gives approxi- mately the…

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Q: 5. Evaluate each of the following integrals. (a) dr. (b) Vr2 +9 dx

A: LetI=∫x32x4+13dxPut 2x4+1=udifferentiate  on both side8x3dx=dux3dx=du8ThereforeI=∫1(u)3du8Take the…

Q: f(x) = x³ + 12x2 – 27x + 5 over each of the indicated intervals. (a) Interval = [-10,0]. 1. Absolute…

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Q: An object with an initial velocity of 40 m/s undergoes an acceleration of a(t) = 12t – 10 m/s“, t…

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Q: (a) f(x) dæ %3D

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Q: Quesion IS The graph of f(x) is given below and F() = f(t) dt. -2 Find F(4). a) O 12 b) 06 c) O d) O…

A: Given problem:-

Q: Find the MacLaurin series for the function f(x) = x cos (2x) at a = 0.

A: Using the definition of maclaurin series ee can find series or by given function's series we can…

Q: SX³V1+ 4x2 dx .3

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Q: The equation z = 1+r² in cylindrical coordinates represents Select one: O a paraboloid O a circle O…

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Q: 5 3 Let g and h be continuous functions such that | g(x)dx = 6 and | h(x)dx = 4. 3 Determine |…

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Q: Use the formula in a previous exercise to find the curvature. x = 3 + t2, y = 7 + t x(t) : %3D Need…

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Q: Use the One-to-One Property to solve the following equation for x. Sx-1 = 27 1 3 8

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Q: 6+ 4 3- 2. -3 -2 -1 2 18 For the above rational function f( x) = 2.5x2 + 3.5 identify the interval…

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Q: Find the critical numbers of the function. g(x)%3D8X+sin 8x

A: Given query is to find the critical numbers for the function.

Q: Evaluate the limits. 4r +4 z 8 Enter DNE if the limit does not exist. a) lim g(z) = b) lim g(z) = c)…

A: Evaluate the limits

Q: 12 (2). Here is an Ry region, in the XY plane: Consider the change of variable u = xy and v = 3y +…

A: Here we have to write the integral by using change of variable.

Q: 5. A squirrel runs along the edge of a fence. The graph of the squirrelľ's velocity v(t), in m/sec,…

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Q: Question * Suppose X, Y are two discrete random variables with probability function given by: Y \ X…

A: Given

Q: The number y of hits new website receives each month can be modeled by y = 4040ekt, where t…

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Q: dy 6. If y is a differentiable function of x and r + 2y3 x² = 8y?, then find dr

A: This question is based on diffrentiation chain rule.

Q: sin vn 2n Determine the convergence of the sequence an . If it converges, find lim an. BIU A E EV…

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Q: d sin x 1 dt| = dx et + 5 cO X 1 1 1 (A) esinx + 5 (B) e* + 5 (C) (esinx + 5) cos x (D) e sin x

A: We know that integration power rule is given as - Integration of xn is nxn-1.   Here i attached the…