If air resistance is neglected, then the range R (in meters) of a projectile fired from a gun that is Vo² (sin 0 cos 0) where V, is the initial 5 inclined at an angle 0 from the ground is known to be R velocity. Find the angle for which the range will be as large as possible. O O 58

Q: 11. An expression that is equivalent to 2tan z Otan z Ocot z 02 cot z sin 2x 1-cos 2z is

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A: We have to find det(A)

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A: We need to find solution set.

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A: 9. a=(1,2,-3)b=(-12,13,7)

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A: We have to find out

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A: We know, [f∘(g∘h)] (x) =fghx

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A: Please see the below picture for detailed solution.

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A: This is a problem related to taylor series expansion. Based on the general formula and concept we…

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Q: NOTE: Enter the exact answer. [11x + ]dx = 7 8x³ +C

A: Using given rules evaluate the integral following

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A: Let's find mass of lamina(m).

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Q: (a) In the accompanying figure, the area of the triangle ABC can be expressed as area ABC-area…

A: Let's solve for area of the triangle.

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Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight…

A: Given problem:- A lighthouse is located on a small island 4 km away from the nearest point P on a…

Q: 12. A pie is re take the p

A: NOTE: Refresh your page if you can't see any equations. . Newton's cooing law is given by here we…

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Q: 3 sin 0 = 1 and ㅠ < 0 < 1. then tan 0 is equal to 2 4 마음 54 100

A: Here we will find tanθ,

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A: Concept: We have a boat on the water, and let the closest point on a straight shoreline be x, In…

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Q: Find the modular residue of the product. 9,512,667 2,183,321 (mod 5) 9,512,667 2,183,321 (mod 5) =…

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Q: Question 1 of 14, Step 2 of 3 1/20 Correct When a factory operates from 6 AM to 6 PM, its total fuel…

A: Given query is to find rate of consumption at 10 AM.

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Q: An angle co-terminal to 19 6 11m 6 is

A: Given query is to find coterminal angle.

Q: 19. Consider the integral f√x²+25 dx. 9x² a. In/√x² + 25 +x/- - b. x+ In/√x² + 25/+ √x²+25 9x √x²+25…

A: Solve the integral  √(x2+25)/9x2

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Q: In 8 thy ể dxdy.... ****** Ans: 2 e. *******

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Q: III. Solve the problem 1. x"(t) + x(t) = 6sin2t; x(0) = 3 and x'(0) = 1 2. Given:

A: As per bartleby guidelines we only give first question answers.

Q: E) If F(x, y, z) = 3x²i + 3zj - 3xk find the Div (Curl F). 0/0 0/0 0/0= az any jaz V-Vx3 = 0₂ 17 Pue…

A: First we find curlF .

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Q: Question 2. The Limit of a Function For the function h whose graph is given, state the value of each…

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Q: Determine whether lim cos F→0 exists, or not.

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Q: 1. Evaluate a) lim b) lim X-T K1O the limit sinx x²-x2 4 In (1-x) + x + == x² 2 23

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Q: The curves 7₁(t) = (– 2t, t³, tº) and 7₂(t) = (sin( – 2t), sin( – 4t), t – π) intersect at the…

A: Here, the given curves are: r→1(t)=-2t,t5,t6 and r2→(t)=sin(-2t),sin(-4t),t-π which intersect at the…

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Q: 6. Evaluate the following limits: 1/3 (x+8) -2 a. lim X x-0 b. lim x→-3 2 x²-9 2x² +7x+3

A: Given :limx→0x+813-2xlimx→-3x2-92x2+7x+3

Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

A: As point is (0.422, -0.907), is lying on intersection of the unit circle and a terminal arm of θ,…

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Q: t² +3t t--3t²-t-12 b. lim (-3)²-9 u-0 น (x+h)³-x³ C. lim h→0 h a. lim

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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Q: 6-Determine the volume of the parallelepiped formed by the vectors U= [2,1,3], v= [1, -4,2] and w=[…

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Q: A family has a monthly income of $4052. Their monthly expenditures are as shown in the graph below.…

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