Determine the largest intervals in which the following functions are continuous. 2 (a) f(x) = 2 – 5x – x

Q: Consider the following. u = 3i + 2j, v = 6i + 9j (a) Find the projection of u onto v. (b) Find the v...

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Q: Let a = ci + jand b = 2i + 14j. Find c so that a and b are orthogonal. i

A: Given that,a=ci+j and b=2i+14j

Q: What is the derivative of the following? 1. 3x^2 2. -1/2x^2

A: Topic = Derivative 

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. -4, -1, 6 (multiplicity 2), 0 Leave...

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Q: Consider the following. u = -7i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A: a) Given vectors, u=-7i-4j-2k,v=4j+4kWe know that projection of u on to v is u.vvv^=(-7i-4j-2k)(4j+4...

Q: - partial fraction 2х -3 -dx (x– 2\,x+3)'

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Q: ydx -(x +3y)dy = 0 Ans. x = 6y In

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Q: A stone is dropped into a still pond. Concentric circular ripples spread out, and the radius of the ...

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Q: 5) y>10 (3v-1) (1+5w)

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Q: In Exercises 1-4, use the comparison test to confirm the statement. 1. 2 diverges, so diverges. n-3 ...

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Q: Q3: Solve the following first order differential equations Use any method: 1. e + 2x dx + e x dy = 0...

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Q: 4. It f(x,)= (x?+Zy^)+Z and ū= a.) Find the derivative of t in the direction Of ū at 13,2) -

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Q: Let f(x, y) = xy – y + cos x. af Find (a) fe dy and (c) the mixed partial fæy. (b) O (a) xy - y (b) ...

A: Find your answer below 

Q: Find the area of the triangle with vertices P(1, 4, –6), Q(0,0, 0) and R(3, 4, 1). NOTE: Enter the e...

A: topic - area of triangle

Q: We now use the substitution u = x° + 8x and du = (9x8 + 8) dx to convert the entire integral into on...

A: Given the integral  ∫9x8 + 8x9 + 8x2 dx We now use the substitution  u=x9+8x and du=9x8+8 dx.

Q: {(u)= (u² -3)*

A: Given the function is  f(u) = 12u2-32. We have to find f'(u).

Q: Exact equations: Solve * 3xy dx + (3x²y + 4y² ) dy = 0 xy3 + y4 = c y? + y* = c

A: No option match with above two options but i am sure about the answer

Q: Let 3a? -y f (x, y) = x² +y (1) Find the limit at (1, 1): lim(2,9)→(1,1) f(x, y). (2) Show that the ...

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Q: x* + x3 x2 +1 플+미2+11+ tan-1 x*C C In x + 1| + tan-1 x +C 3. 쪽-1n x2 + 11 + tan-1x +C D In Jx2 +1| +...

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Q: givens A = (-6,4,-8) and B = (8, 8, -2) find FIND: a unit vector in the direction of -A + 2B FIND: t...

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Q: How can i solve this excersice? Hind: It could be, using Taylor. Vat (7a(=)) ×. 1 f(2) nh

A: This is a problem of taylor series calculation. Based on the general formula we will solve the quest...

Q: cotx dx In|csc x| cSC

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Q: r = sec(20)tan(28)

A: To find the derivative of the function.

Q: 8. DETAILS LARAPCALC10 3.3.062.EP. Consider the following function, where R is the revenue (in thous...

A: Use diminishing concept

Q: - partial fraction 1 dx x(x² +1}

A: Let's find. 

Q: Let a = ci + jand b = 8i + 6j. Find c so that the angle between a and b is. Round your answers to fo...

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Q: Prove the following: sin² 0 – cos² 0 = 1– 2cos² 0 %3D

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

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Q: Given the piece-wise function x² – 2x + 5, Зx2 — 2х —5 f(x) = 0 2 Find lim f(x) and lim f(x) x-2 x-...

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Q: Determine the general equation of the plane satisfying the given conditions: plane A containing the...

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Q: Using the rectangles each of whose height is given by the value of the function at the midpoint of t...

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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: 1. Approximate the area under the curve of y = e¯** from x = 0 to x = 1 using: a. R4 h Le %3D

A: Reimann sum

Q: Let f(x) = x and compute the Riemann sum of f over the interval [2,3], using the following number of...

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Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (3x-4y)^9 ax^4y^5

A: The given binomial,     3x-4y9

Q: Activity 1. Solve for what is asked. Expresses your answer in simplest form. 1. Find : dx x = 8

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Q: 1. x3 + y3 – 2xy = 0, find y'.

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Q: Q2: Find the solution of the following Differential Equations d²y +6. dx2 dx dy + 12y = 0 3.

A: This is homogenous differential equation, solve it by using auxiliary equation. 

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

A: The value will not be 7 because the question is not asking us to find the value using the ratio test...

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

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Q: 4. An object moves along a horizontal line in a way that its position is described by the function s...

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Q: 6. D, (Inx) 7. D, (3x + 4x5) 8. D, (40x) 9. D, (E) 10. D.

A: Find your answer below 

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval [...

A: Given that       f(x) = 36-x2 over the interval [0,6] 

Q: Let D be the trapezoidal region in the ry-plane bounded by the graphs of z = 0, y = 1, y = z and y =...

A: We have to solve for the area by integration. 

Q: 7. Which of the following functions is defined implicitly? 2х-1 b. y = c. (x - 1)2 + y2 = 4 d. y = c...

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

Q: Compute: gcd(68, 54) = Find a pair of integers x and y such that 68x + 54y = gcd(68, 54) (x, y) = (

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Q: 1. Зх е* dx In x dx 2 2.

A: To evaluate the following integrals.1 ∫3x e-x dx2 ∫ln xx2 dx  

Q: Determine whether the following sequences are convergent or divergent. If a sequence is convergent, ...

A: For (a),     limn→∞ n-n2-nRationalize,=limn→∞ nn+n2-n=limn→∞ 11+1-1n=limn→∞ 1limn→∞ 1+1-1n=12 So, co...

Q: 1.) A spherical snowball is being made so that its volume is increasing at the rate of 8ft^3 min/ Fi...

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