3. Find the angles between the vectors: u = 2i + j, u = 2i – 2j + k, v = 3i + 4k a. v = i + 2j – k b. -

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A: We have to find arc length of give curve.

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A:

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A: right reimann sum

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A: Area of the triangle , A =12(Base)(Height) Product Rule of Differentiation : du.vdt=u.dvdt+dudt.v

Q: Use the Comparison Test to determine if the series Σ 5n Cos 2n n3 + n2 + 1 n=1

A: By looking at the series we get that the series is similar to ∑n=1∞1n2. So,                 limn→∞ 5...

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A: To solve the given triple integral. 

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Q: The radius of a right circular cylinder is given by sqrt(t+7) and its height is 2 (sqrt(t)), where t...

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Q: III. MAXIMA/MINIMA: Locate the critical by the tests. 1. y = x³ – 3x² + 4x + 5

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

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A: We have,

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

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Q: For the demand equation, use implice deferentiation to find dp/de. 18p + 4p +3-x

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

Q: For the demand function x=D(p)=/100-2p : (a) The elasticity is E(p)= (b) When p=25 , the elasticity ...

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Q: Evaluate the integral: el/z dx -1

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Q: Find the Taylor polynomial of degree 3, centered at a 2 for the function f(x) = VI + 5.

A: We will find the Taylor polynomial. 

Q: What are the inflection points?

A:

Q: 3. Use the Comparison Test to determine if the series 5n – cos 2n - n3 + n² + 1 n=1 converges or div...

A: Use the comparison test to determine the series.

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Q: Tunorial ExSICISS And any Intercepts. 49x Step 1 To And the y-Intercepts, letx be zero and solve for...

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Q: - y' = y – xy³e-2x

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Q: (c) e Op 25 00sp55 Op > 0 O There is no p which makes the integral improper. Op55

A: Given that        ∫05e-px dx 

Q: Ligaya places Php 7,876 in a BDO account that accrues interest compounded continuously. Ligaya did n...

A: Interest

Q: Learning Task 5: Complete the table. Do this in your notebook. f(x) -4x x? 3x2 -X 2x-1 f' (x) Please...

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Q: 5. Use the pascal's method or term formula to write and expression for each term (a a. ts3 b. t15,12...

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Q: Let f(x) = Vx. Which of the following is the Taylor polynomial of degree 1 for f(x) centred at a = 1...

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Q: Find the inflection points, if any, f(x)=x4 −2x3 +6

A: Find the inflection points, if any, f(x)=x4 −2x3 +6

Q: Solve the differential equation by variation of parameters. y" + y = sin(x) y(x) =

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Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: Q1) For the following functions, find fxx, fyy, fxy and fyx. 1. f(x, y) = e* + x In y + y In x

A: Since you have asked multiple Questions, we will solve the first question for you. If you want any s...

Q: 19. Simplify the following expression fully. 1.1 11 d 20. Solve the following inequality. Write the ...

A: Topic = Algebra

Q: Solve by Chain Rule f(y) = /2y + (3y + 4y²)³

A: Given that       f(y) = √{2y+(3y+4y2)3}

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Q: (1) Prove that every perfect square is either a multiple of 4 or e more than a multiple of 4. [Hint:...

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Q: 1 1 4. x2 + yi = 9| %3D

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

Q: Using integration by parts and taking a > 0, the integral x In(ax)dx is equal to: In a 2 In(2a) - 3 ...

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Q: F(x)= (x^2 + 5) /(x-2) find where the function is increasing/decreasing and has local extrema if any...

A: Question- F(x)= (x^2 + 5) /(x-2) find where the function is increasing/decreasing and has local extr...

Q: Suppose D is the region bounded between the z-axis, the curve y = e", and 0 <I<1. Compute the integr...

A: Use simple integration formula.

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Q: For the given function shown, Identify the equation of the oblique (slant) asymptote.

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Q: find the second derivative of y=[(tane^2x)+(e^tan3x)]

A: The guven function, y=tane2x+etan(3x)

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Q: Use implicit differentiation to find y' and then evaluate y' at (2,0). 4 eY = x? - y³ y' = D y'l20) ...

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Q: Between 0°C and 30°C, the volume V ( in cubic centimeters) of 1 kg of water at a temperature T is gi...

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Q: Find the area bounded by the curves 4y – x = 0 and y – 4x = 0 1. For points of intersection. 2. Area...

A: 4y=x2 and y2=4x1.) solving bothx242=4xx4=64xx(x3-64)=0x=0 , x3=64x=0, x=4corresponding  y-valuesat x...

Q: 11. In x)3 dx 4x

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Q: Example: Find the surface area of the curve described by x = t³, y = t², 0<t<1, rotated about the x-...

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Q: Find the general solution of the differential equation. 1 こ

A: