Which of the following is an identity? sinBsecBcotB = sin²B/cos²B sinBsecBcotB = 1 sinBsecBcotB = cotB

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Q: 1. Differentiate by using product rule. You do not need to simplify. 9. y = (5x* – 8x +)(2x6 – 5) x3

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Q: H.W: Solve-Using D-operator dy dx + dt + 3y – 5x – e-t = 0 dt dau

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Q: For the function G(x) = 3 – x, find G(-6), G(u), and G(u) . G(-6) = (Simplify your answer.)

A: For the function Gx=3-x2, to find G-6, Gu, and Gu2.  

Q: Let y =(f(x) + 5x2)4 and suppose that f(−1) = −4 and dy/dx = 3 when x = −1. Find f‘(−1).

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Q: Essential Question How do you evaluate cube roots and square roots?

A: Asking: show all thr details step by step to finding cube root and square root. 

Q: Question 3: Evaluate the following limits, if they exist, by using the graph -5 -4 -3 -2 -1 3 -1 -2 ...

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A: ------------------------------------------------------------------------------ For continuity at any...

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Q: Evaluate | (3t +t?) sin(2t) dt 1/2 (3t+t^2) cos(2t)-1/4 (3+2t) sin(2t)+1/4 cos(2t)+c 1/2 (3t+t^2) si...

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Q: 5. If log, x = 0.3 and log, y = 1.24, then %3D the value of log, x°y = %3D

A: logax3y3=logax3+logay3 logax3y3=3logax+3logay using the given data, we have logax3y3=30.3+31.24

Q: IV. Find the derivative of the given function. 1. u = t³(sin ln t – cos ln t) 2. y = e-2* (1 + e-2x)

A: 1) Given:          u=t3sin ln t-cos ln t   derivating on both sides     dudt=ddtt3sin ln t-cos ln t ...

Q: 2. An iPhone 13 pro max is dropped from the top of the Balayong Park monument, 225 ft high. (a) How ...

A: Solution ) a) s = 225 ft , initial velocity u = 0 According to newton motion equation  s = ut + (1/2...

Q: 3. Find the value of the directional derivative at the particula point Po for the given function in ...

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Q: (A) By using the method of Lagrange multipliers, answer the following questions. (a) Find the maximu...

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Q: 1. lim 3" 2. lim 5* 3. lim log r エ→4 4. lim cos r

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Q: Find the slopes of the curve y =y? -x at the two points shown here. V3 The slope of the curve y = y2...

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Q: Hind the valve of a and b that make f Continuous evergehe overyuhere fex) = sacs Itb ?f I<X Cos e

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Q: Let A = and B , P = (9, 8, 7) c. find an equation for the plane containing A and B and the point P....

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Q: Solve the following differential equations by using integrating factor dy/dx − 2y = e2x ; y(0) = 1

A: Here, the given DE is: dydx-2y=e2x...(1) y(0)=1 Comparing (1) with dydx+P(x)y=Q(x), P(x)=-2 &amp; Q(...

Q: Use the Squeeze Theorem to evaluate lim sin(tan x) sech(secx).

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Q: b) What could be the degree of f(x)? -3 2. -1- c) What is the sign of the leading coefficient? -4 -3...

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Q: Estimating In(1.4) using a Taylor polynomial about a = 1, what is the least degree of the polynomial...

A: fx = lnxTo estimate : ln1.4  using Taylor's polynomial centered at a=1. To find the least degree of ...

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Q: Find the divergence of the vector field V(x, y, z) = –5xi + (y + 2 cos(x))j+ (12z + e*x») k. (Give a...

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Q: H.W: 1. find the derivative of the function f(x, y, z) = xy+ yz+ zx ,at the point P,(1,-1,2) in the ...

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Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also us...

Q: evaluate the given function

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Q: 4. What is the first derivative of f(x) = (x² – 4)(3x – 2)? a. 9x² – 4x – 12 b. (2x)(3) C. 6x d. (x ...

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first ...

Q: Evaluate the following limits. 4– 3y2 – y --2 6 - y - y? 3 – 7x2 + 14x - 8 1. lim (1+ Vw)(2 – w² + 3...

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Q: Consider the following functions. f(-3) = 14 and g(-3) = –11 Step 1 of 4: Find (f + g)(-3).

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Q: 2. f(t) = 6 sint cos t

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