Explain the steps you would take to find the derivative of f(x) = (-)e -3x+tan(3x-5)

Q: 23 14 f(x)dx – ¹ f(x)dx - - where a = = b [ f( and b = f(x) dx

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A: solution is given below

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A: Here we have to find the value of x.

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A: Given: x-2y+3z-1=0x=1-y2=z+1

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A: The objective is to find the Partial derivatives.

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A: This question can be solved using the concept of limit and continuity.

Q: Evaluate the following indefinite integral Show work: √ (3x² - 4x + F(x) = 1x + 5)² (3x − 2) dr. B

A: To evaluate the integral

Q: 1. S xdx x²+6x+13

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Q: OC Find the derivative of the function y = dy dx dy 8 dx dy dx dy = - 8 x-4/5 ∞ 188 5 8 x-2/5 x 5²…

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Q: (i) Consider the function f: R\{-2,3} → R defined by 2x³4x²5x - 3 x²-x-6 f(x)= - (a) Prove, using…

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Q: 7. Solve for cot 0 (² - if cos(20) = 4 5 and P(0) E QIV.

A: To solve for cotθ2 if cos2θ=-45 and Pθ∈QIV.

Q: -10 70 60 50 40- 30- 20 10 10 10 20 30 Dmitry is a lifeguard and spots a drowning child 30 meters…

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Q: 10 ²S₂" f Given that answer= f(x)dx 14 3' *f*f(z)dz? 10 what is

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A: We know, ∫dx/x= ln|x|

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A: The given trigonometric function is f(x)=sin3π2-x

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Q: Determine the interval of convergence of n=1 (x - 5)" n²

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A: Here we will find the pricing scheme ,

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Q: IV. Fill in the blank to make each statement true. Use correct notations. 12π ¹ (sin ¹2) = 5 1. sin¹…

A: We can find the answer in the following steps.

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Q: Evaluate

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Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A: Topic = Derivative

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Q: Onsider the function f(x) = -4x²+7x+6. Interpret the e average rate of change from x = -7 to x = 7…

A: Topic:- application of calculus        Definition :-  The tangent represents the instantaneous rate…

Q: 5. Prove the identity: cot(A + B) cot(A - B) = cot² B - tan² A tan² A cot² B-1

A: We have to prove the identity

Q: r³+3x+1 8) (x+1)²(x-2)²

A: The objective of the question is determine the partial fraction decomposition. Note -  As per our…

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Q: This exercise uses the radioactive decay model.. The half-life of radium-226 is 1600 years. Suppose…

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Q: 5. S (2x²+1) x3-3x+2 dx

A: Here we have to find the integral.

Q: Write an equation for the ellipse. Type the left side of the equation in the box below. (x-3)² (+1)²…

A: solution is given below

Q: A smooth curve C is defined by some vector function R(t) with R (7) 2 = = (π,0,−2) and R' (t) = (2,…

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