Calculate dz/dt given the following functions. Express the final answer in terms of t. f(x, y) = x²-3xy + 2y², x = x(t) = 3 sin 2t, y = y(t) = 4 cos 2t Z=

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A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

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Q: how does dy/dx(tanx) become sec^2x

A: It is a standard derivative formula, whose derivation can be found mentioned below.

Q: العنوان solle Le sin²(3x) cos²(sx) dx /1 8 tan'x dx で CIC

A: (1): Step 1:Step 2: Step 3:Step 4: (2): Step 1:Step 2:Step 3:Step 4:

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A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

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A: First, we need to identify the type of integral we are dealing with. The first integral is a product…

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Q: | 1' cos(T +1) dr. COS

A: using the integration by parts

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A: Given: Now,             y'=10arcsincos21x-arctan18x'     =10arcsincos21x' -arctan18x'…

Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: Find y'. sin t y = 8 + t %3D y' = %3D Find y'. 2 sin 0 + 9 cos 0 y = %3D sin 0 – cos 0 y' = %3D

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Q: 15(- + 16.5 2 = 15 cos 15 + 16.5 = 15 cos y = y = |

A: The first function is: y=15cosπ15t-π2+16.5 Second function is: y=15cosπ15t-152+16.5

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A: ycos2a+ysin2a=cosa+372

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Q: Find d²y/dx² if y = =x cos(3x) — sin²(x). -

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Q: If A = A-¹ = 2e4t sin(2t) -2est cos(2t) -4e4t cos(2t) -4est sin(2t) 1/(2e^(4t) sin(2t)) then

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