Derive the following function 9. y In x+1 x-2 10. Dºsin(x)

Q: The angle between vectors A = 91-j+5k and B = (-2,7,1) is.. ******

A: According to our terms and conditions,we can only solve one problem at a time. So please repost the…

Q: Find the line integral along the given path C. f(x - y)dx, where C: x=t, y = 5t+7, for 0 st≤5 C √(x…

A: Topic:- application of integration

Q: Q3: Solve the D.E_XỲ+Y=. XY+Y= 7/2/2 y2

A: The given differential equation is  XY'+Y=1/Y2

Q: Question R is the region bounded by the functions f(x) = + 1 and g(x) = - +7 over the interval [a,…

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Q: Q2: A. Determine if p=i-3k and q = 61 - 3j - 4k are parallel, orthogonal or neither.

A: According to Bartleby guidelines I can only answer the first question of the two questions given.…

Q: 9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The…

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Q: 5. Find the surface area of x = e³ that is of revolution about the y-axis on 0 ≤ y ≤ In 7.

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Q: use the definition of Laplace transform, to calculate the transform of f(t) if it is known that: 2et…

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Q: 11. y = tan e³x + etan3x

A: We can find y' as below.

Q: Using integrals, find the area bounded by the following:  f(x) = 4x2 + 20 g(x) = 8x + 32 x = - 4…

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Q: Q4:Evaluate 1) lim (1-1) x-0 \sin x

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Q: (e) Find the exact length of the curve. x = e cost, y = et sint, 0 ≤ t ≤n.

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Q: Find the exact value of the surface area generated by revolving the curve 1 + 1≤x≤2, about the…

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Q: The current population of a small town is 3947 people. It is believed that town's population is…

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Q: 7. Find the Taylor series for f(x) = ln(9 – 3x) centered at 1. Write the final using sigma notation,…

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Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

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Q: can you provide another clearer solution please

A: Explanation of the answer is as follows

Q: Productivity-diminishing returns Suppose the pro- luctivity P of an individual worker (in number of…

A: We need to find out the number of training hours for the maximum rate of change in productivity.

Q: 17) Find P₁0 (x), the Taylor polynomial f(x)= tan¹ (x³) at a=0. P(x) = x²³ - ²¹ +² the function

A: To find the Taylor's polynomial

Q: The graph CC of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: Find the Differential equation Ⓒ (y + x²) dx = x dy

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Q4: If f(x,y) = x²y +exy Siny Find 1) 2) (D = f) at po(1,0) in the direction of 0 = Po

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Q: Find the slope of the tangent line to the curve - 4x² + 4xy - 1y³ = - 148 at the point (3, 4).

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Q: iv) in complex number z³. (z)² = |z|².z

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Q: Find the general solution of the differential equation: y' - 5y = te-2t Use lower case c for the…

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Q: HOMEWORK 16: Graph the following equations. x3 3. y = (x-5)(x+1) x²14x13

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Q: ?T f(t)=√ t` cosnt dt ((나) ans = 4 12 The easiest way to solve the integral so that the result is as…

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Q: 1 S²₁x² ex³ dx 1

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Q: dy Use implicit differentiation to determine given the equation x² + y² = 9. d.x dy dx =

A: In implicit differentiation, we differentiate each side of an equation with two variables (usually x…

Q: 2x₁ + 2x₂ + 4x3 = 8 - 6x₁-6x2-12x3 = -24 - 3x2 + 9x3 = 15 2x₁ + 2x2 + 4x3 = 0 - 6x₁-6x2-12x3 = 0 -…

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Q: -3 4 For the matrices A = 2 1 -11 2 Determine whether the matrix 6 7 A The matrix is not a linear…

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Q: Σαβη (117)

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Q: 1. Evaluate the integral: (a-1/3 - 2/3) da X

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: Fill in the blanks in the following: 1. Ifa (3,-2, 6) and b=(4,-1,-6) the axb:

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Q: Q4: If f(x,y) = x²y +exy Siny Find 1) 2) (D = f) po Po at po(1,0) in the direction of 0 =

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Q: Problem 7 Ső S xvx² + 1 dx

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Q: Write the equation of the line. == (0, 2) is on the line. Select one: O a. -3x + 5y = -10 O b. 5x -…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2 the x- axis, and the y-axis is…

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Q: Find the area bounded by the curve r = 2 - cos 0.

A: The equation of curve is given as , r=2-cosθ Find the area bounded by the curve.

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION:

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Q: x³ + 3y = xy (By implicit differentiation)

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Q: 100 Ln=1 a. Converge 3 b. C. d. Diverge (-3)2+1 is 23n 318 338 8 b 2 2 0 J d a *

A: The objective is to check the convergence or divergence of the series.

Q: 8. Determine whether the series (-1)" is absolutely convergent, conditionally 7n-5 n=1 convergent,…

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Q: : Evaluate the following integrate: 1- S x²dx √9-x² 2-√(2 + 5x) e dx

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Q: Find all points on the graph of f(x) = 9x² - 5x+5 where the slope of the tangent line is 0. The…

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Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2…

A: We want to find slope at the point x=25

Q: Q2:Expand using Maclourin series (1 - x 1-x² 2 ln(1 + x4) )? -

A: As per our guideline we are supposed to answer only one question of  multiple type of questions.…

Q: 1-x²dx 9-x²

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