Find the derivative of: - 3 sin² ( – 5x6).

Q: 12) Let V== 1i-2j_ and U = . =__4i +3j. Find the following: a) 2V -4 U b) U c) V•U

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Q: Ө 13 7

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Q: Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the…

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Given is the graph of velocity. Total distance can  be found by calculating area under the curve

Q: Let f(x)= 2-4 H-2 C 4x x 2 a) Does lim-2 f(x) exist? If yes, what is it? If not, explain. 321 b) Is…

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Q: The sequence an is monotone increasing if an < an+1 for any n EN. Select one: a. false O b. true 4

A: Given that the sequence an is monotone increasing if an&lt;an+1 for any n∈ℕ. We have find the…

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: Question 2 The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a…

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Q: (2-2) A o (Type an equation. Simplify your answer.) Type the locations of the foci. □ (Type ordered…

A: Topic:- equations of ellipse and geometry

Q: 3. Evaluate the limit: lim(x²-3x + 1) x→3

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Q: A manufacturer of swimming pool water pumps is comparing the following options during their research…

A: total cost=fixed cost +variable costlet number of water pump is  x

Q: A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle 0…

A: Given query is to find the speed of the truck

Q: i dont understand the answer, can you right more

A: The answer is in step 2.

Q: Suppose that the length of time between consecutive high tides is 12 hours and 26 minutes. According…

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Q: Let f(x) be defined as = { f(x) = { 3x² - 2x, -4+*, x≥1 x < 1. a) Is f(x) continuous at x = 1?…

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Q: Question 2 ( a) Evaluate {eot}

A: according to bartleby guide line we do only first part of multiple questions please repost other…

Q: Find the complex zeros of the following polynomial function. Write f in factored form. f(x)=x4 +…

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Q: The series is divergent. Select one: O True O False 8 Σbn= Σ n=1 4" n=177+2

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Q: Evaluate the derivative using properties of logarithms where needed. (²√x²¹ +3) X ×|-7 3 4

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Q: Click the best answer * 7 10 5 ST 2 y = (x+3)²(x² + 1) 0 0 2

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Q: Question 2 For the given cost function C(x) = 48400 + 400x + x², First, find the average cost…

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Q: Consider the function f(x) = Compute the definite integral a+2 | 5 for 0 < x < 2 for 2 ≤ x ≤ 3. 1(a)…

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Q: the sum using summation notation. Use 1 as the lower limit of summation and i for the index of…

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Q: Find all points where the function is discontinuous -N 197 *X

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Q: Find the Jacobian of the transformation z= -5u+4v, y=u²-e.

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x² = 3y O O r= 3tan…

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Q: Use the rules for sums of powers of integers to compute the sum. 16 Σ i 6 22

A: The objective of the question is evaluate the given series.

Q: Find (2u) x v for the given vectors. u=3i - 2j+ k, v = -3i + 3j+ 3k Select the correct choice below…

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Q: Find the distance d from P₁ to P2. P₁ = (1, -3,1) and P2 = (0, -2,4) d= (Simplify your answer. Type…

A: To solve the following problem and find the distance between points

Q: Differentiate the following function. y=et& dy dx d dx )= Tere

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Q: Find the indicated sum. 5 Σk(k+1) 5 k = 1 k=1 k(k+ 1) = (Simplify your answer.)

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Q: Suppose that sin(a) = 4/6 and cos(b) =3/7 define in the first quadrant, determine sin(a+b). (round…

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Q: An ink program for a printer has two different options: • Option A: $4.00 per month with a $0.04 per…

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Q: Use the graph of the function f to solve the inequality. (a) f(x) > 0 (b) f(x) ≤0 (a) The solution…

A: a) f(x)&gt;0: f(x)&gt;0 means the function lies above the x-axis. From x=-1 to x=2, the function is…

Q: Find the indefinite integral (2+2 tan²0) de.

A: Solution ⇒    Given function ∫(2tan2θ+2)dθ    Now take 2 common  2∫(tan2θ+1)dθ    We…

Q: Approximate the area under the curve y = x² from x = 3 to x = 6 using a Right Endpoint approximation…

A: Given y = x2from x = 3 to x = 6 using right endpoint rule

Q: 3x - 7x x-0 2x - 15x d. lim

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Q: Compute the limit lim 3 2+3x²+1 If the limit does not exist, type DNE.

A: let  I=limx→3(x-3x2+1)for finding limit put x=3

Q: Use l'Hôpital's lim X-0 Rule to find the following limit. 2 sin (x) - 2x 3 5x

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Q: Find the 52nd term of the following arithmetic sequence. 2, 8, 14, 20, ...

A: Given airthmatic sequence 2 , 8 , 14 , 20 , .....

Q: 163 0 x 2 ared units

A: Topic:- application of integration

Q: Evaluate the integral|x³√x² √x³√x²-8dx 3 2

A: We need to evaluate ∫ x3x2-8dx. So,                  ∫ x3x2-8dxLet u=x2-8.=∫u2+8u2du=∫ u4+8u2du=∫…

Q: Use l'Hôpital's rule to find the following limit. 1 In (x-3) lim X→4+ lim X→4* 1 X-4 1 1 (x-4-In…

A: limx→4+(1x-4-1lnx-3)=limx→4+(lnx-3-(x-4))(x-4)(lnx-3)

Q: Write the given (total) area as an integral integral or sum of integrals. The area above the x-axis…

A: The area between the curves y=16-x2 and y=0  (x-axis)

Q: Find the unit vector in the same direction as v. v=8i u= ai + bj + ck where a = b = (Simplify your…

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Q: Round your answer to the nearest integer. Compute the average value of the function f(x)=x²-3 on the…

A: As we know that, The expression for the average value of the function fx on the interval a,b is:…

Q: 7. Differentiate: y = (x+ +9x)"

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Q: The angle of elevation of the Sun is 36.4° at the instant the shadow cast by an obelisk is 727 feet…

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Q: Use a software program or a graphing utility with vector capabilities to find the lengths of u and…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Determine the type of DE: 3x3y¹=2y (y - 3) Homogeneous Bernoulli's equation Both Homogeneous and…

A: Given Differential equation:- 3x3y'=2yy-3