Find the equations of the tangent and normal lines to the graph of the function at the given point. Tangent line: y = Normal line: y T g(t)= (-5 sint - 5 cost)² at t =

Q: 1. Find the equation of the line that goes through the point (1, 5) and is parallel to the line y =…

A: Question No. 1:To find the equation of the line that goes through the point and parallel to the…

Q: Solve the given differential equation. 3x²y" +6xy' + y = 0

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Q: Find the tangent to y =√x-x+10 at x = 10.

A: y=x2−x+10 at x=10dydx=ddxx2−x+10Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power Ruleddxxn=nxn−1

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Q: The formula for the braking distance of a car is: 0.03361 v² μl d= where: . d is the braking…

A: given that,and find the d value for the given velocities?

Q: If sin(-s) = 5/13, and (a) (b) (c) (d) sin s cos(-s) COS S 3πt < s < 2π, compute the following.…

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Q: 9. Determine whether the following two lines are parallel, skew, or intersect. If they intersect,…

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Q: Consider the function defined by f(x) = sin(sqrt(|x|)).  A) What is the domain of this function?…

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Q: Use Q23 implicit different to find dy ldx X²y + xy ² = 6 +2

A: You have posted multiple question in this question which are not interlinked so i have solved first…

Q: Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms.…

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Q: Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the…

A: Let  be the function .By using the formal definition of the derivative .

Q: The legs of an isosceles right triangle increase in length at a rate of 3 m/s.   Part A At what rate…

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Q: Find the general Solution For D- E dy dx ty cotx= 5 cosx

A: Given to solve DE +ycotx=5e^cosx

Q: * Find the general Solution of :- - dy dx = 3 Sec X

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Q: A1. Milk or meat production Y per day is best explained by the inputs: feed needed per day in kg,…

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Q: 17. Suppose you want to fence three sides of rectangular region where one side is bordered by a…

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Q: Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms.…

A: Consider the series

Q: Let W = f(u) be the temperature, in °C, of a chemical reaction u hours after the reaction starts.…

A: Given that Let W = f(u) be the temperature, in °C, of a chemical reaction u hours after the reaction…

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Q: Find an equation in rectangular coordinates for the spherical equation p = 4 sec (6)

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Q: Estimate the average value of the function between x = 0 and x = 7. 3 لیا 2 1 N - 1 2 3 The average…

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Q: Determine the amplitude, period, and phase shift for the given function. - cos(2x - 5) y=1- 1…

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Q: Compute the electric charge on the surface which is the portion of the cone z = √√3x² + 3y2 in the…

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Q: Below is the graphs of fox & gcx), & their tangent lines at x=2. fy=1.8(x-2) 9 9= ²/3 (x-2) a) lim…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Find the general Solution For D-E x dy dx +y = !

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Q: Estimate the area under the graph of f(x) = 3x³ between x = 0 and x=4 using each finite…

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Q: Des the sequence faf converge if the Sequence is convergent. OL or a₁ = 1 + (-1)^ diverge? find the…

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Q: The table shows the total assets (in trillions) held in a foreign bank for the given years. Complete…

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Q: Consider the series n=1 an where (4n² + 2)7+5 10" In this problem you must attempt to use the Ratio…

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Q: x²+3x-130 lim 2 x-10 x²-100

A: L=limx→10x2+3x−130x2−100

Q: Question 5 The formula for the braking distance of a car is: 0.03361 v² fl d= where: . d is the…

A: given data:

Q: This problem tests calculating new functions from old ones: From the table below calculate the…

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Q: implicit differentation to find dy/dx use then dx²/da² 2y² = x² + 2x and

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Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

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Q: Evaluate ]] x + y dA, where R is the region bounded by x = 1, x = 4, y = x, and y = 6 — x. R

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Q: Use the Ratio Test to determine the convergence or divergence of the series. Step 1 Step 2 6 Recall…

A: By using the Ratio Test to determine the convergence or divergence of the following series.

Q: Given that f(x)=4x-16 where f(x)=y define a function rule for f^-1. which of the following are…

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Q: Find the exact value of each of the following under the given conditions. 6√85 85 5 sin a = 13 (a)…

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Q: 2. S x³ +1 x³ - x² da dx

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

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Q: Find the maximum value of the function z = 5x + 7y subject to the following constraints. x+8y≤48…

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Q: Perform the following operations and simplify the results. State the domain restriction in each…

A: The domain is the set of all possible input values  for a which function is defined.