6x4 - x³ - 11x2 +9x-2 3 2х-1

Q: I sin x O S(z) %3D COS

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

Q: (-2æ)" En=1 (5n)! Find the series' radius and interval of convergence

A: The given power series,∑n=1∞-2xn5n!

Q: If u(t) = (sin(2t), cos(5t), t) and v(t) = (t, cos(5t), sin(2t)), use Formula 4 of this theorem to…

A: We will find the dot product.

Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. In In 5 In 3 In…

A: We will use logarithmic properties.

Q: h(x) = In|x| %D Find the derivative of the function

A: Differentiate by using quotient rule

Q: tan -x -dx is equal to ONE of the followir The integral (HINT: Use Maclaurin series) Σ n=0 2" +'(2n+…

A: Here is the solution

Q: a) Determine the position function, s(t), of an object if the acceleration is a(t) = 3t , v(2) = 0,…

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Q: Find parametric equations for the tadgent line to the curve with the given parametric equations at…

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Q: Let Ax) = (x- 1)/3+3 with domain [0, 8], which of the following is true about %3D the graph of f? O…

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Q: A rectangular garden is to be fenced in next to a garage so that fencing is needed on three sides…

A: Let the dimension of the rectangular garden be:                             Length=L and Width=W…

Q: (a) Evaluate the double integral.

A: answer is in next step

Q: Suppose that f(x)=2x^−4+5x^−2 Evaluate each of the following: 1. F' (2)= 2. F' (-1)=

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

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Q: Зx2 — 5х — 2 lim x→2 In(x – 1) - is | (А) 7 (В) 8 (С) е2 (D) 0 O A O B ос O D

A: The detailed solution is given below Thank you

Q: Solve the DE using Linear First Oder Method: y +yx = x - 3. if y(0) = 2 %3D

A: Solving

Q: a) Determine the position function, 8(t), of an object if the acceleration is a(t) = 5t (3) = 0, and…

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Q: 2. 2. A = Fral eDen Value 2. 1- and eigen Vetor note

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: Evaluate the following integral: (Note that the constant of integration has been added for you.) | =…

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Q: SX³V1+ 4x2 dx .3

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Q: 5. Consider the power series E (x-1)" n=1 n3m 6.1. What is its center? 6.2. Find its interval of…

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Q: Let Ax) = 2x - 7x +4x. %3D a. On what interval(s) is f'(x) > 0? b. On what interval(s) is fx)…

A: Given: fx=2x3-7x2+4x   The Power law: ddxxn=nxn-1

Q: /121 - s" 12t – 5t' +9 dt = +C. (b) u14 + 4.5 Jū du =| +C (c) 1 dx = 5x6 +C.

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Q: H.w: Find the LT of the following functions: 1- f (t) = t sin²at ct

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Q: 2.7 Given the function f(x) = r²e, Determine the open interval(s) where the functio

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Q: Write the following sum as a single logarithm and fully simplify. Assume all variables are positive.…

A: Given :log4(35)+log4(y)-log4(7)

Q: can you write it on a paper or make it clear

A: Apologies for the inconvenience. If you do not see the math expressions properly, then please…

Q: Sx2 In x dx X

A:

Q: Given the functions f(x) = . x + 2 and g(x) = x², determine all values of x for which Ag(x)) =…

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Q: Given h(x) = tan -1 ), find h'(x). 2 4 A) sec 2 sec (B) 4 +x² (C) 4 +x2 (D)

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Q: dx x² – 2x + 2 = dy

A: Given:      dxdy=x2-2x+2⇒dy=dx x2-2x+2Integrating both sides,⇒∫dy=∫dx x2-2x+2⇒y=∫1x-12+1dxLet u=x-1.…

Q: Identify the value of the function f(x)=log10x at x = 315, Round to 3 decimal places. 3.498 2.498…

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Q: 7.4 Partial Fractions 11.10 Taylor and Maclaurin Series Find the Taylor series for f(x) centered at…

A: We are given f(x) = 8x - 3x3 We have to find taylor's series expansion of f(x) centered at a=-2 and…

Q: () 0.02x 26, ere a represents the level of production and C' (a) represents the margina items, the…

A:

Q: Determine the area enclosed by f(x) = a° + æ? – æ + 7 and g(x) = æ³ – 2a + 27. The region in…

A: Here  we have to find the area bounded by the curves.

Q: Use implicit differentiation to find the equation of the tangent line to the curve xy + xy = 18 at…

A: We can solve this as follows:

Q: AB is the vector from the point (1, –2) to the point (5, 1). Find a unit vector in the opposite…

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Q: Question 5 > Find the value V of the Riemann sum V = > f(ck)A¤k k=1 for the function f(x) = x² – 2…

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

A: We wil find the second order partial derivative.

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: Dose the h partial sum of a series a, is as follows. n = 1 -ח n+ 5 Find and n = 1 Step 1 We are…

A: Solve the following

Q: Find a gradient of the equation: F(x, y) = y + x³ – ay? + 3 %3D VF =?

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Q: At the beginning of an experiment, a scientist has 124 grams of radioactive goo. After 270 minutes,…

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places.…

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

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Q: Example 9 Video Example4) Evaluate the integral. In(x) dx Solution dx occurs in the integral. When x…

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

Q: dy = 2xV1 – y², 17. -1< y < dx

A: We have to find out solution

Q: A point P(x, y) moves along the graph of the equation y = x+ x2 + 1. The x-values are changing at…

A: To find , how fast are the y- value changing at the point Q(1,3).

Q: Let V = R2. For (vị , v2), (W1, w2) E V and k ER define vector addition by: (vi, v2) O (W1, w2) :=…

A:

Q: Find the area of the region between the graphs of y = 13 – x² and y = over the interval 3 < x < 8. –…

A: Solve by integration