2x dx 4e2x –8eª +5 e

Q: Question 5 The approximate value of -31.8 using linear approximation, imaginary O (E) None of the…

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Q: 1. a. Show that two lines with direction vectors d, = (2,3) and d, = (6,-4) are perpendicular. %3!…

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Q: If the series E, (an)? diverges then lim,00 an + 0 Select one: True False

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Q: 1. a. Show that two lines with direction vectors d (2,3) and d, (6,-4) are perpendicular %3D b. Give…

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know the surface area of the cube is; S=6a2                            ...(1) Where 'a' is the…

Q: The area of the finite region enclosed by the curves y = 3x and y 27 - a is given by the definite…

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Q: A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let…

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Q: The series E- an is divergente then the series E(an)* is also divergente k31 Select one: True False

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Q: What is the surface area of the solid generated by revolving about the y-axis, y =1- a2, on the…

A: Surface Area of the solid generated by revolving about the y-axis ,S = ∫x=ax=b 2πx 1+dydx2 dx

Q: 4. Find the directional derivative of f (x, y, z) = e* cos(yz) the point (1,-2.0) in the direction…

A: I have authority to answer only one question, so  I am posting answer for 1 st question

Q: Let R be the region in the first quadrant of the xy-plane bounded by the hyperbolas xy = 1, xy = 16,…

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Q: Calculate the trapezoid approximation of o xdx using four subintervals. O T5 = 21.52 O T5 - 23.25 T5…

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Q: 15. Determine the coordinate of point C, which lies on the y-axis, if it is equidistant from point A…

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Q: Find the Taylor series generated by f at x=a. f(x) = 1/x2, a= 10

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Q: 5. Find the directional derivative of f (x, y, z) = e* cos(xyz) the point (1,- 2.0) in the direction…

A: On solving this we will get

Q: Evaluate the integral using the appropriate substitution. You must use a substitution for this…

A: Given query is to find the integral.

Q: sin(x²) 1+0- e2r – 2x – 1° Evaluate lim |

A: The objective of the question is evaluate the limit.

Q: Find the differential dy: y = In(sec² ( 3"-2*+5)). Find the differential dy: y = In(sec? ( 3-2x+5…

A: We have to differentiate given function

Q: Find the absolute maximum and absolute minimum of the function f(x)=2x^5/2 /5−2x^3/2 /3−1 over the…

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Q: 9. Jer'y ds, C:x cos t, y sin 1, z = 1, 0<1s/2 %3D 77

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Q: 29 – 44 dy 2+ 49 с.

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Q: Solve the differential equation dy + y = 4xy³, y(0) = dx %3D 1.

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Q: 5) Use Intermediate Value Theorem to explain why the function has a zero in the given interval. [0.…

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Q: To evaluate f dx, we choose : ,dv = xdx b)u = Vx - 1, dv = x dx %3D du

A: ∫xx-1dxLet u=x-1.=∫ 2u2+1du=2·∫ u2+1du=2∫ u2du+∫ 1du=2u33+uSubstitute back…

Q: Using integration determine the Laplace transform of f (t) where f (t) =t when 0 2 %3D

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Q: In a race, Anita Hurrie walks 100 m due east and then walks N70 E for 60 m. How far is Anita from…

A: First draw the diagram then make a vector ..and then find the magnitude of this vector. And use the…

Q: Given the differential equation dy dx (x – 1)(x + 2)' x +1 y = 1- y > 1, x> -1. a) Find the solution…

A: Here we have given a linearly differential equation :

Q: 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in the form of…

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Q: Apply your understanding of derivatives to determine any intervals of increase for the function…

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Q: 04: S+* + 1)sin z dz =

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Q: 1. cos(xy) + secy = 5

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Q: Determine the angle between OR = (1,-2,3) and OT = (5,-3,2) %3D

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Q: 4 Y= 5/(sin3x +cos3x)

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Q: dx Vx4 – 2x² + 1 3,

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Q: sin(x²) ate lim 1+0- e2r – 2x – 1°

A: zero by zero form then apply L hospital rule

Q: Using concepts from this unit, Curve Sketching, of this course only, explain why a quadratic…

A: To explain the correct reason.

Q: 9. Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. The area of…

A: Oil spreads in circle on surface of ocean. Area of circle is A=πr2.…

Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, -25, .. Determine the sequence's…

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Q: B- Find the length of the curve given by the position vector r=, =r'i+(1+(1/3)x')j+(1-(1/3)')k for

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Q: Find the total differential dw. 4. w = e*" – sin(yz) -

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Q: 4 i /," x’dx using four subintervals. Calculate the trapezoid approximation of O T5 = 61.24 O T5 =…

A: Dear user, You need to find step height and using this you need to find endpoints of interval. Then…

Q: 7x – 2r – 12 For the function f(x) =- x² +6 a) Find the equation of the non-vertical asymptote b)…

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Q: Evaluate the double integral over the given region. |6x sin xy dA, R. 0 SxsA, 0sys1 R. O A. 6x 兀 OB.…

A: We will evaluate the double integral.

Q: x² – 2x – 1 dx I ( – 1)²(x² + 1)

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Q: 120 a) Asymptotes b) Local maximum or minimum c) Behaviour Page 3 of 4 d) Based on your graph, fill…

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Q: V9 – x² .2 .2

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Q: Consider the lines x = -1+ 2s х — 5 l1 : 3 - 2 and l2 : y = s 4 -2 z = 5+ s а. Find the coordinates…

A: The three parts of the problem are solved in the next three steps.

Q: Problem 5 3 For the function f(x) on the interval [1, 5], answer the following questions:…

A: According to guidelines,  We must answer only 3 sub-parts of multipart question given. So I have…

Q: Differentiate the following using implicit differentiation 3/a + V =7

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