Normalise these vectors to have length 1. 4 10 4 6 ab becomes sin (a) becomes sin (a) Ә əx ə əx ⠀ 8 8 8. a R Ω Ω E E 2 R

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A: On solving this we will get

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Q: ). Use the Integral Test to determine whether the sum converges. ∞ n = 1 1 n + 8 Evaluate the…

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Q: | 13. f = 汙 讨 a

A: In this question we have to find which variable represent which function.

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Q: Find the extrema of the following function on the given interval: h(x)= 2x+5cosx, ob [0,2π

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Q: For the function h(x) = −2x³ - 4x + 3√√x, calculate h'(x), h''(x), and h'''(x) . Show all steps. (2)…

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Q: Given f(x)= X-4 O[4, 12) U (12,0⁰) 0 [--4, ∞) and g(x)=√√x+4, what is the domain of f(g(x))? O(-∞,…

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Q: Transform the following differential equations to the standard form (dy/dx) + A(x)y = B(x) OR…

A: We can solve the given differential equation by using the integrating factor method.

Q: Factor the polynomial f(x)= x4-7x3+2x2+28x−24 given that 6 and -2 are zeros. then identify all real…

A: We will first factorise f(x) knowing (x-6) and (x+2) are factors then will find other zeros.

Q: If then f(x, y) = 4x²+8y³ – 5sin(8xy) - fx (0, π) = -5 • Ignore "Give your reasons" below. There is…

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Q: Find the first derivative f' and the original function f. f"(x) = x³ - 12x, ƒ'(1) = 0, ƒ(1) = 10

A: Topic - Differential equations We are given f''(x)=x3-12x ,f'(1)=0 ,f(1)=10 ∫xndx=xn+1n+1+C

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Q: In a figure, OABC is a parallelogram. Prove by the analytic approach that OB2+AC2=2(OA2+OC2).

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Q: III. Find the first derivative of the following functions. Simplify as much as possible sin (r) rcos…

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Q: Suppose f(x) is continuous on [4, 6] and −4 ≤ f'(x) ≤ 3 for all x in (4, 6). Use the Mean Value…

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Q: Set up a triple integral in spherical coordinates that would determine the exact volume outside the…

A: The given spheres are:7x2+7y2+7z2=27x2+7y2+7z2=5y≥0   and   z≤0

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Q: Estimate the area between the curves y = 3x² and y = 19x. Use a graphing calculator to compute you

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Q: Similarly, to find the slope of the secant line passing through P(−2, 4) and Q(−2.5, 3.75),…

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Q: Solve the following first order separable differential equation. Show the outline of the solution…

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Q: Estimate using linear Approximation. 3 19.2 - 13 19

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Q: A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $10 the…

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