10. 2 w² + 4w W 1 dw

Q: The law of Sines. b) Given: A= 36° a = 8 b=5 Find: B-? C-? c-?

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Q: 15. dx 16x* - 1

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A: We are given linear differential equation of order 4. 2d4x/db4 +3d3x/db3 -27d2x/db2-62dx/db-24x=0…

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A: We have to find PB→ and prove that M,N and C lie on the same line.

Q: Q3: The equation of the tangent line to the graph of y=f(x) at x=-3, f(-3)=2 & f'(-3)=5 is a)…

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Q: 62-24 x²+2x-8 5. Analyze the function from its equation y determine the non-permissible value(s) the…

A: The non-permissible value of a rational functions are obtained by equating the denominator to zero.

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Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

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Q: Set up the integral to find the area of M, using horizontal rectangle. Let M be the region bounded…

A: In this question , we can set up the integral to find the area of M .

Q: sider the function p 3 of 3: Find lim f(x). x--6 f(x) = = lim f(x) x--6 Sx² + 12x + 22 19x + 100 if…

A: Topic:- limit and continuity

Q: TOOTOT E) Evaluate the triple integral on the left in each of the following: (a) fffdz dx dy = 1 (b)…

A: Given problem:-

Q: (a) (i) Calculate (4 + 6i)². (ii) Hence, and without using a calculator, determine all solutions of…

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Q: your cimal places. Radioactive substance X starts with a mass of 20 g. The half-life of the…

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Q: Q5: If y=tant and x = cost then at t= is (not that these functions in N) dx a) -1 b) 0 c) d) 1 e)…

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Q: (10-6y+e-3) dx - 2dy 2dy = 0

A: Given.

Q: Let A, B, C be arbitrary finite sets from the same universal set U. - (a) Is it true that A - B C (A…

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Q: A parallelogram has an area of 200 cm². The side lengths are 90 cm and 30 cm. Find the measures of…

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Q: S # 3 X Use the fundamental Identities to simply the expression. 1) tan & coft 2) cos²0 2 +CSCO sint…

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Q: Given plane z: 3x+2y+z-3=0, point P(1, -2, 3), and lines 1₁:an 4₂: (3, 6,-5)+(2, 3, 1), find: d) the…

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Q: Find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = 3t2 − 4 sin(5t) ℒ{f(t)} =

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Q: Q1: Find the general solution to the following differential equation: y"-2y'+y=x²-1

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Q: Find the area that lies inside both curve: r = 1 – cos(θ) and r = 1 + cos(θ). Draw.

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Q: 2. (9x-4y+4)dx=(2x−y+1)dy=0

A: Given

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A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: Find the general solutions of the system. 200 x' = -5 7 5 x 002 x(t) =

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Q: Find the equation of the tangent plane to the surface f(x,y)=In(4x²-2xy-y²) at the point P(-1,-1,0).

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Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

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Q: = Determine the equation of the tangent line to the graph of f(x) = I x+ln x cosh (√2t - 1) dt at x…

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Q: passes through the point P(3,7,2) and is perpendicular to the plane 3x − 5z – 7 = 0. -

A: The given point is P3,7,2 and the given plane is 3x-5z-7=0.We need to find the vector equation of a…

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Q: IV. Application: Newton's Law of Cooling 1. A thermometer reading 75°F is taken out where the…

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Q: Find the average value of f(x) = 3 sin (x) + 5 cos (x) over the interval 0, [0]. 3

A: The function f(x)=3 sin(x)+5 cos(x) over the interval 0,π3

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Q: 2 1 x^²({( ²² - ² - ) } L 3 S S

A: Given that,      L-12s-1s32

Q: 3) The Venn diagram below represents the modules students are taking. . S is the event students…

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Q: Find the volume bounded by the cylinder z=y², y=x² and the planes z=0, y=4.

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Q: 5 Given h(x) = x³ + px² − x − 4, find a value for p so h(x) has an inflection point at x = -4.…

A: I am attaching image so that you understand each and every step.

Q: x² + y² Briefly differentiate directional derivatives with suitable graph and equations.

A: This is a problem related to vector calculus. Based on the general formula and calculation we will…

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Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

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Q: Let R be the region below enclosed by the curves r = 2 - y², y = − sin (7₂2), and x = -1, as shown…

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Q: 8 kg/m, where x is measured in meters from one end of the rod. √x+1 The linear density p in a rod 3…

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Q: find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)3 ℒ{f(t)} =

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Q: Evaluate the integrals. x√√1-x² dx a. x X b. I si sin5 -cos-dx 3 3

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Q: 3. Find the distance between points P₁ and P2. (a) P₁(-1,1,5), P₂ (2, 5,0) (b) P₁(3,4,5), P₂(2, 3,…

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Q: Solve 7 cos(5x) = 2 for the smallest positive solution. Give your answer accurate to at least two…

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