Eliminate the parameter & to find a cartesian equation for: 1 - ta 4 =9+2t the equation I = Ay ³²+ By + C for Find A, B, C.

Q: Use logarithmic differentiation to find the derivative of the function. (5x +1) 5 (x4 - 8)6 Y =

A: The given function equation

Q: Evaluate tr(g(t)) using the Chain Rule: r(t) = (et, et, -8), g(t) = 6t - 7 r(g(t)) = (

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Q: 5. A rock is tossed from a height of 2 meters at an initial velocity of 30 m/s at an angle of 20°…

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Q: When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium…

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Q: A traffic engineer monitors the rate at which cars enter the main highway during the afternoon rush…

A: Given the rate R(t) at which cars enter the highway is given by the formula  cars per minute.

Q: 1 Given the geometric sequence: 10, ¹40 Find an explicit formula for an, where the first term is a₁…

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Q: The function r(t) traces a circle. Determine the radius, center, and plane containing the circle…

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Q: 2 7₁ x = -(y-2) ² X (a) Make a graph. Use at least 5 points. 6 Report domain and range. (Isolate y.)…

A: y01234

Q: Find the indicated partial derivative. 4 f(x, y) = y sin-¹(xy); f2, (², -1/-) =

A:

Q: Suppose a product's revenue function is given by R(q) = -2q² + 200g, where R(q) is in dollars and q…

A: Suppose a product's revenue function is given by ,where  is in dollars and q is units sold.To find a…

Q: 12. Write 18(cos169° + isin 169°) in rectangular form. Round numerical entries in the answer to two…

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Q: In Exercises 1-6, find the general solution of the differential equation specified. 3 dy 1. = dt 3.…

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Q: The German mathematician Karl Weierstrass (1815-1897) noticed that the substitution t = tan (a) If t…

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Q: y = x + 2 sin x (-л, π)

A: we need to find out the intervals where the given function is concave up and concave down.

Q: The graph above is a transformation of the function ² Write an equation for the function graphed…

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

Q: Please help

A: The objective of this question is to find the direction in which the airplane should fly. This can…

Q: Find the cross and v= product uxv² where û =8i +25 - 2k (-3,-1,8)

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Q: Solve the absolute value fucntion f(x)=|x-2|+|x+1|-4

A: Therefore , the only valid solution for the function f(x)=∣x−2∣+∣x+1∣−4isx=25​  For x<−1, no…

Q: Evaluate the following integral. x² - 4x + 4 2 S √x². - 4x + 8 dx

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Q: Let f(x) = In[x4(x + 6) (x2 + 4)2]. Find f'(x). f'(x) =

A: We need to find derivative of f(x).

Q: Break-Even Analysis The table below contains price-demand and total cost data for the production of…

A: The given table…

Q: The position function of an object is given by 5(1) - (2² − 1 ) ( ¦ + 3). distance, s, is in metres.…

A: The position function of an object is given by , where time, t, is in seconds and distance, s, is in…

Q: pln 2 3x² ex [1,² -1 dx

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

Q: Use the graph of F, shown on the right, to find the given limit. When necessary, state that the…

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Q: Peter wishes to create a retirement fund from which he can draw $40,000 when he retires and the same…

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Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: Find the limit of an = n ln(1+3tan(1/n)) or show that it does not exist.

A: The limit is = 3   If you face any problem in understanding then please ask.Explanation:

Q: 디 EX tx

A: We need to solve the inequality.

Q: The length and width of a rectangle are measured as 23 cm and 52 cm, respectively, with an error in…

A: Let length of the rectangle denoted by x Let width of the rectangle denoted by y As we know the area…

Q: Consider the sequence.     20 ,    20 +    20 ,    20 +    20 +    20…

A: The objective of the question is to understand the given sequence, compute the first five terms,…

Q: (a) Suppose that the acceleration function of a particle moving along a coordinate line is a(t) = t…

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Q: Instructions can be found in the image attached

A: (a).  f(x)=x100g(x)=(x+3)  (b).  f(x)=x1​g(x)=x3−1     Explanation:

Q: The graphs of two functions, f and g, are shown below where x is in radians. Recall ≈ 3.14. 11 =…

A: From the given graph

Q: numbers, mathematics unveils the poetry hidden in every calculation, revealing the elegant…

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Q: ra) 0 플 0 x 2m

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Q: In Exercises 7-12, solve the given initial-value problem. dy dt 7. dy dt 11. dy 9. als als dt - dt =…

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Q: The graph of y=√x is shown in black. Match each equation with a graph above. y=√x+2 y = √√√x+2…

A: The graph of  is shown in black. To match each of the given equation with their graph.

Q: a projectile is shot upward from the top of a 220-foot building with an initial relocity of 22-feet…

A: Height of building =220 footInitial velocity = -22 feet/sec

Q: Solve cos(8) decimal places. 0 0.2 for solutions on the interval 0 ≤ 0 < 2. Write your answer(s) in…

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Q: ax CLA Find points of intersection for the following curves. 13 1- r = 2 + 2 cos 0, 2- following. r…

A: The objective of this question is to find the points of intersection of two polar curves defined by…

Q: Eliminate the parameter & to fcys for - form x= [2(t) = 51² | gets = 2 + 2t find a Cartesian…

A: To eliminate the parameter t to find a Cartesian equation in the form  for the parametric equations.

Q: (2) n=1 n²-2√n +1 1-n-3n²

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Consider the following. f(x, y) = xy - 3x³y² Find the first partial derivatives. 2,2 fx(x, y) = 6x³y…

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Q: The power delivered by a battery to an apparatus of resistance R (in ohms) is P(R) = 2.1 W. Find the…

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Q: x² -dx. X-4

A: I=∫x2x−4dxSubstitution u=x−4Using the power ruleddxxn=nxn−1

Q: Find the limit, if it exists, or type N if it does not exist. (x + 25y)² x² +25²y² lim (x,y) →(0,0)

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Q: Find the limit, if it exists, or type N if it does not exist. 4xy + 4yz+xz 16x² + 16y² + z² lim…

A: To find:-

Q: r(t) = (t, cos(at), sin(at))

A: r(t) = &lt;t, cos(at), sin(at)&gt;

Q: Find the equation of the tangent plane to the surface z = e (2, 4, 1.849). Z= - 12/17 In (2y) at the…

A: To find the equation of the tangent plane to the surface  at the point .

Q: Write in summary what you know about the first and second fundamental theorems of calculus.…

A: GivenWrite in summary what you know about the first and second fundamental theorems of calculus. The…