Find the coordinates of the point P on the line and a vector v parallel to the line. x = 2t, y = 6 – t, z = 9 + 8t P(x, y, z) = v =

Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

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Q: 15.

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: The limit of a constant function is always zero. * TRUE FALSE

A: topic - limits

Q: (За — 1)" 5n Vn + 1 n=1

A: Given problem:-

Q: sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate A) None B sinydy +...

A: Just I have simplified the given integrand function and find that option (B) is correct.

Q: solve the integral: integral from negative infinity to positive infinity [ (1)/(4x2 + 4x + 5) ] dx

A: The given integral is ∫-∞∞14x2+4x+5dx we find the value of the integral using proper substitution.

Q: 3. Consider the series n (2л — 1)8п. - п4 + 1 n=1 Use the previous item to find its interval of conv...

A: Solution is given below:

Q: [9] Suppose x is a particular real number, and let p, q, and r symbolize “-23

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Q: x2 + 2 dx x° + x •T/2 5. 3 6. t cos (t) dt

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Q: (x +7)" 2" Vn² – 1 Consider the power series > n=2 -

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Q: The function y = 2x2 for -3 ≤ x ≤ 3 is given. a) Plot the graph b) Find the gradient at x = 1

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Q: Consider the pair of savings plans below. Compare the balances in each plan after 13 years. Which pe...

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Q: 2(-1)". п — 1 n n=2

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Q: Find a general solution. u"+21u 0 u(t) = ]

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Q: y = cot-1(4-3x2)

A: y=cot-1(4-3x2)differentiate w.r.t.xwe know that,ddx(cot-1x)=-1x2+1Therefore,dydx=-14-3x22+1ddx4-3x2d...

Q: A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium ...

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Q: A F(s). s2 + 4 1 B F(s) s? + 2 1 ©F(s) S - 2 DF(s). S + 2 S E F(s) s2 + 4 S - 2 FF(s) = (s - 2)2 + 4...

A: Question-  Find the inverse Laplace Transform of the given function-  f(t) = cos (2t)

Q: Question 4 Find all the local maxima, local minima, and saddle points of the function. f(x, v) = 36x...

A: Let us consider a function f(x,y) . To get the critical point of f(x,y) we put ∂f∂x=∂f∂y=0 Let (a,b)...

Q: Evaluate the integral. dx J x4+7 Inx) A In 14+7 In x| +C B In 14+7 In x| +C © O In +C |7+4 In x| D I...

A: On solving this we will get:- option (D) is correct

Q: Find the vector component of v = (4, – 1,7) along b = (3, 6, –6) and the vector component of v ortho...

A: We can solve the given problem as follows:

Q: Jean throws a boomerang whose trajectory is given by the vector function: F(t) = +5 cos (t),20+5 sin...

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Q: d^2y/dx^2 for y=2x^3- 5/x^2

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Q: 2. Determine if the series n (-1)³n n4 +1 n=1 absolutely converges, conditionally converges, or dive...

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Q: Question 6 Find all the second order partial derivatives of the given function. f(x, y) = x y 2 + y ...

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Q: -1) п — 1 n n n=2

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Q: Consider the given function and the given interval. f(x) = 5/x, [0, 4] (a) Find the average value fa...

A: The objective is to solve the above question.

Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = = ;x = -3 4 O ...

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Q: Given arccos(r) = arccot(z²), solve for dz/dr

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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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: Derivative of f(x)= 4x/5x^2-1

A: We can find the derivative as below.

Q: eny x+9 dx dy e+y en8 Iny dy %3D en8 e [ e-e] dy eny en8 [ye- e° ] dy | ل ام مو ] en8 | ye- e° - e ]...

A: Let I=∫1ln(8)∫0ln(y)ex+ydxdyI=∫1ln(8)∫0ln(y)exeydxdyI=∫1ln(8)ey∫0ln(y)exdxdyI=∫1ln(8)eyex0ln(y)dyI=∫...

Q: The total world population is forecast to be P(t) = 0.0008t3 - 0.0714t2 + 0.81t + 6.04 (0 sts 10) in...

A: The population is given by P(t) = 0.0008t³ - 0.0714t² + 0.81t + 6.04

Q: Determine the set of points satisfying the condition described by |z – 3| + |z + 3| = 10 Then expres...

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Q: fV5+ 4x – x² dx

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Q: 3. Find the following integrals. Most of them (but not all) require partial fraction xdx 2х + 3 b) s...

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Q: 1 is divergent. all n, then n=1

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Q: Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are g...

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Q: Current Attempt in Progress Verify that the hypotheses of the Mean-Value Theorem are satisfied for f...

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Q: Prove that fxy fy x for the following: %3D f = e + x Lny + y Lnx f = xy 2 3 + xy4 f = Ln ( 2x + 34)

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, –7) and the vector component of v orth...

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Q: z, Z2 Prove

A: If z =x+ iy then  z = x- iy. i2 =-1.

Q: Question Determine the ratio in the geometric series below. 27 + 4 243 +... 16 9 81 3+ 8 Sorry, that...

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Q: A plant encloser is in the shape of half of a cylinder. Find the surface area of plastic covering. L...

A: Surface area

Q: +oo (x – 1)" Consider the power series >- log n n=2 (a) Show that the resulting series when x = 0 is...

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Q: ASK Find the volume V of the solid obtained by rotating the region bounded by the given curves about...

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Q: Find the centroid of the region bounded by the curves y= x-4 and y = 2x - x. Note that the area of t...

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Q: Consider the parallelepiped with adjacent edges u = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the...

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Q: ++8, Express the answer in rectangular form. (2+3i B. Evaluate the expression () - (). 1+2i

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