A. Two lines are parallel. Line A is with equation 6y=2x-18 and line B is with equation 3y-6-x. Draw both lines and then find the distance between them.

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A: Concept: Newton Raphson Method: One of the most popular methods for locating the roots of given…

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A: Topic-Average Value of a function over an interval

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: alyze the following equation and graph it. 36 9-8 sin r= ich of the following is the correct…

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Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. (a) e²-1 X…

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Q: 8. The following rational expressions are proper fractions except: x + 2x³-3x²+x-5 3x² - 4 C.…

A: A rational expression is said to be proper fraction when the degree of the numerator is less than…

Q: 5. Evaluate f ²√3.r³ + 1dx JO

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Q: derivative of f(x)=2x^15-3^x, f^15(

A: We will find the required.

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Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Find the general solution of the given second-order differential equation. y" - y' - 12y = 0 y(x) =

A: Given differential equationy''-y'-12y=0

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Q: Provide your answer below: f'(8) = |

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Q: Evaluate ľºm vy I 1-x² x² + y² dydx.

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Q: an=2" cos Nπ

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Q: t = 0, a bacterial culture weighs 4 grams. Three hours later, the culture weighs 5 grams. The…

A: We have to solve the logistic model equation with given data.

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: Find a vector-valued function whose graph is the plane x+y+z= 12, O r(u, v)=-ui-vj+(12-u-v)k O r(u,…

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Q: Question 4 Find the derivatives of the following: i) iii) f(x)=5 (4x+7)(x-3) (x-2) f(x)=(3x + 1)4(2x…

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Q: List the elements of the given set. the sets (A n B) U C and An (BU C), where A = {1, 2, 3, 4}, B =…

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Q: Find the following for the given equation. r(t) = (e-t, 7t², 9 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: Find the exact length of the curve described by the parametric equations. • x = 7+3t², y = 1 + 2t³,…

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Q: • Sketch the curve represented by the parametric equations (indicate the Orientation of the curve),…

A: Given,

Q: Calculate, to the nearest cent, the future value FV (in dollars) of an investment of $10,000 at the…

A: P = present value = $ 10000 r = interest rate = 2 % = 0.02 n = number of compounding periods in a…

Q: Determine whether the Mean Value Theorem can be applied to f on the closed Interval [a, b]. (Select…

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Q: dx 7. √² +4 1. Integration Leading to Inverse Trigonometric Function/Additional Standard Formula II.…

A: We will use simple Integration rules to solve this question.

Q: -18 and line B is with equation A. Two lines are parallel. Line A is with equation 6y= 2x 3y-6-x.…

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Q: 4. (True/False) Every point (r, y, z) can be uniquely represented as a point (r, 0, 2) in…

A: Solution: True

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

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Q: x²-2x-15 x+8 [-3, 5] "'s Theorem can be applied. se f is not continuous on the closed interval [a,…

A: Topic:- application of derivatives

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A: The Solution is given below

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Q: 9. (True/False) If F is a conservative vector field, then V x F = 0.

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Q: A solid lies between planes perpendicular to the x-axis at x = -6 and x = 6. The cross-sections…

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Q: A plane flies at a speed 560 km/hr at a constant height of 11 km. How rapidly is the angle of…

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Q: 2.: Select the correction choose. A) Using two iterations of the Simple Iterative Method, find the…

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Q: se the definition of the Laplace transform to find L{f(t) 0, 0≤t 4 0.

A: L{f(t)}=∫0∞e-stf(t)dt we have  f(t)=00≤t<212≤t<40t≥4

Q: Use the gradient to find a normal vector to the graph of the equation at the given point 7x²-y=5,…

A: In this question we have to find the Normal Vector using gradient.

Q: Find the exact length of the curve. y = 5 + 2x3/2, 0≤x≤1 2.2683 X

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Q: Use Lagrange multipliers to find the maximum value of f(x, y) = 6x + 6xy +y where x >0 and y>0…

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Q: Evaluate √2r - Idr

A: Given,

Q: 8

A: Given that          curve              r(t)  = 4t i^ +2t2 j^             we have to evaluate   the…

Q: Find r(t). u(t). r(t) = (5t - 8)i + 18. u(t)= t²i8j + t³k r(t) .u(t) = + 4k Is the result a…

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Q: 2.: Select the correction choose. A) Using two iterations of the Simple Iterative Method, find the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: allon x² + 10 x + y² + 10 y 94 - 0 THANA

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

A: Inverse laplace

Q: 3) .  Calculate the first three partial sums of the series. ∞     n = 1 1 (n + 4)(n + 5)  Hint: Use…

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Q: Find the logistic equation that satisfies the initial condition. dy dt 11y (0, 44) 20 1440 Use the…

A: Given.

Q: 4. Mauritius island is 2 km due south of its closest point along a straight coastline. Gibril is…

A: Given data:-

Q: Fill in the blank. (Enter your answer in terms of t.) 1 ={} 2 =

A: I am going to solve the problem by using some simple calculus to get the required result of the…