10. Since (7,-1) is a point on f (x) cos z,which point will be found onf'(x) = cosx ? %3D O a (1,ח) b. (-п. 1)

Q: If y = √√√2-3x², find encl sack the third derivative.

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Q: : Q2) Find the derivatives of each of the following functions? 1- y= tan (V3x + In(5x)) 2 y In…

A:

Q: Four equations are provided below. Which equation follows from the Power Rule? I. (P)' = pr P 1…

A: Answer is option (a)  Because only equation 3rd follows the power rule .

Q: 3. y cos (sin'x)

A: For the given  y = Cos4(sin3x) dy/dx is calculated as shown below

Q: Ja + + tan x) sec?x dx

A:

Q: Q1) Show that: (b) (cosx) = -sinx =1+* (a) (1+x) =1+6x %3! (e) (VF) = (d) v1+ tan x

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: g(x) f(x) = Sinx)" g()=1 g)=0. Find Let and Select one: -2 None -3/2 E/3

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Q: prove the following relationships. Note that x(z) = ] [x(+)]. 1. ] [ a^² XLE)] = x ( ² / ) 2. ] […

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Q: 6) Find X 11 df dx by using chain rule if f=u+= cos² u G(x)= U=πX 7) Say whether the function is…

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Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

A:

Q: 3. (a) For P(t) = (4t² + 3) (2t³ — t)¹², find P'(t). After taking the derivative(s), do not simplify…

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Q: Q3) Find the approximate root of the following equation f (x)= cos x – x e* = 0 , on the interval…

A: The given equation fx=cosx - xex=0 on the interval 0.25,0.75 Use the bisection method…

Q: 9. у %3D 4sin' (2xх) 10.у %3D tan? (x3) 11.у %3D sec(-х2 + 3х — 4)3

A: Question 9,Given,          y=4sin32x

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: Let = ary- + ba-y", with a and b constant. Pis a point given by (-1,-1) and it is known that (P) =…

A:

Q: 5а. (inverse trig functions) 5b. 10 V49 – 25x? sec x (100+sin? x)

A: Given, ∫549-25x2dx    and  ∫10secx·10+sin2xdxwe have to solve this

Q: cos(2x)–1 lim x'+ 5x ? 3

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Q: 4 (a² - y²)² 4. g(x) = (3x² + 4x - 5)5 3. 2 =

A:

Q: V. Find the third derivative: 1) y = 10 tan(x) - 2 cot(x) 2) y = x³ - x² sin (x) 1 3) y = 2 sin(x)-4…

A: The given problem is to find the 3rd derivative of the given functions.

Q: _____18) Find y' if y= 6+x √4-x²

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Q: f(x.y) = xtan(). =tan( ес

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Q: 14. Evaluate cos 3x+ dx. 2

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Q: Q3 A) Sketch the function y=sech' x , then write the properties of this function. 30 B) Evaluate Two…

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Q: dx Evaluate V- x² – 4x – 1

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Q: f'(3i) = -i, g(7+ 2i) = 3i, g'(7 +2i) = -4. Find (f o g)'(7+2i). 4i -4i 2.

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.