Test the series for convergence or divergence. n=1 n35n (n+ 2)!

Q: = [] Given: h (t) Find h'(t). t² +2

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Q: Now, let f"(x) =0 and solve for x. Remember that f"(x) = - sin is a periodic function, and thus…

A: use the equation above for solving the equation for x.

Q: Use Lagrange multipliers to find the maximum and minimum values of subject to the given constraint.…

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Q: 1. Find the interval and radius of convergence for (x-2)" 1. Find the interval and radius of…

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Q: Consider e": for all æ E R. n! a. Determine the power series representation of f(x) = xe-5x² for all…

A: We have given the power series of ex  ex=∑n=0∞xnn!  for all x∈ℝ

Q: a 19.) sin u f&) dx where f) = Co x4 /2 Sxい円

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Q: The demand and supply functions for a commodity are given below p=D(q)=81e^-0.048q…

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Q: Consider the IVP: x" + 3x' +2x = 4t2 ; x(0) = 0, x'(0) = 0.

A: Given,  x''+3x'+2x=4t2, x(0)=x'(0)=0

Q: Determine if the following functions are one-to-one by inspecting their graphs using the Vertical…

A: To determine if the following functions are one-to-one by inspecting their graphs using the Vertical…

Q: Evaluate the limit x +y lim (x,y)→(0,0) sin y O None of these O The limit does not exis O-3 O3

A: Given problem:-

Q: 20. a = }, b= 2,b 2

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Q: sin4x S V cos4x + 1 dx

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Q: 2. Determine whether each of the following series is Convergent or Divergent by using the Direct…

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Q: 12. Find all possible values of x such that In(x) + ln(x + 1) = In(2). If no such values of x exist,…

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Q: 5. Given the function as f(x,y)=\x² +y² then find the a) Rate of change of f at point P(1, ) in the…

A: This is a problem related to derivative of the function. Based on the general formula we will solve…

Q: 20x at P(4,0) in the x + y Find the directional derivative of f(x,y) direction of Q(2, –1). NOTE:…

A: The expression for the directional derivative of the function f in the direction of u is:…

Q: Integrate x sqrt of (x+4) dx using algebraic substitution

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Q: The reverse order of f, S, sin y² dydx is f, S sin y? dxdy False True

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Q: A. Use the definition of derivatives to determine the derivatives of the following functions. 1.…

A: 1. Let f(x)=xDefinition of derivativesf'(x)=limh→0f(x+h)-f(x)hf(x+h)=x+hf'(x)=limh→0x+h-xh=limh→0hh∴…

Q: S sin2xsecx dx

A: LetI=∫0πsin2xsecxdxI=∫0π2sin2xsecxdx+∫π2πsin2xsecxdxWe know that sin(2x)=2sin(x).cos(x)I=∫0π2secx·…

Q: Given the function f(x) = () a) Find a power series representation for f(z). п(п + 1) (n + 2):…

A: Let's find.

Q: x³ + x? – 4 1. Consider the function f(x) 4.x = x +1+ x2 Note that 4 x² – 4 - x²(x² – 12) (x² – 4)²…

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Q: Find the exact arc length of the curve x ² + 2) from y = Oto y = 5. Enter the exact answer. L =

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Q: (-1)" Given: In(1+ x) Σ if |a| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

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Q: Application: 1. f(x) = 6x5 – x* + 2x2 – 3 2. h(x) = sinx + cosx – sec²2x 3. (x3+2x2)dx

A: Find the antiderivative

Q: 2. Use the Mean Value Theorem to show that f(r) = 2x sinh(x – 1) + 2" – x has a critical number…

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Q: 39+ 5 dy (5y~7)2

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Let's find.

Q: = -14 – 5t = -5t y = 21 + 3t = 5t – 43 Given the skew lines l1 : Y = 9 – t and l2 : = 2t – 7 (a)…

A: Since, you have ask a question with multiple sup-parts, as per company guidelines we will solve the…

Q: 5 - 4x² dx 4. 3 + 2X

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Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8…

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Q: Determine if the following statement is true or false. The points P1(12, 8, 9), P2(6, 2, 0), P3(0, –…

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Q: 3" Σ 2. Use a direct comparison to test the convergence of 4" +n

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Q: Either prove the following statement is true or provide an example to illustrate it is not true: if…

A: This question can be solved using the concept of even function.

Q: 2. If f(x)=x² – 5x find, a. f(y? + 1) b. f(z+1)-f(z-1)

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Q: The hyperbola, 36x - 49, = 1764, has vertices at. (Simplify your answer. Type an exact answer, using…

A: Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to…

Q: Find a Maclaurin series for the given function. 10. f(x) = sin ()

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Q: answer

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Q: Solve using GEMPS X1 + 3x2 + 5хз + 7x4 7x1 + 9х2 + 2хз + 5х4 5x, + 7x2 + 7хз + 7x4 2x1 + 2х2 + Зx3 +…

A: This is a problem related to gauss elimination method. Based on the general concepts we will solve…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A: This question is based on finding the adjacent edges of tetrahedron and dot and cross product use.

Q: A plane passes through the three points A(1, 1, 1), B(2, 3, 4), and C(1, 0, 1). Find a parametric…

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Q: The second derivative f" is defined on the closed interval [0, 8n]. Now test f" in the intervals (0,…

A: use the definition of concave upward and concave  downward .

Q: Find an equation in rectangular coordinates for the curve 2r2 = cos (20). (Express numbers in exact…

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Q: solve the following ODE * y + xy = 6x/y

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Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

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Q: Determine whether the lines Lj and L2 are parallel. L1: x = 3 – 4t, y = 5 + t, z = 8 – t L2: x = 5 –…

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Q: 2. x = 3

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Q: 2. Verify that the Mean Value Theorem (MVT) applies to the function f(z) = sin² z- on the interval ,…

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Q: 4. dx + (x – y + 2)?dy = 0

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Q: 3" Use the Ratio Test to determine whether the series is convergent or divergent. En=1 (2n)!

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