What is the slope of the line tangent to the graph of y = tan (3x) at x = 1? The slope of the tangent line is

Q: dy 9. Use implicit differentiation to find dx (a) x?y? = y3 +e2¤ (b) cos(x + y) = x sin 2y

A: Given: 9) a) x2y2=y3+e2x   differentiating on both sides       ddxx2y2=ddxy3+e2x Apply product rule:...

Q: Calculate the integral approximation S12 for Si dz. 5+1

A:

Q: the largest open intervals of the domain over which each function is ncreasing, decreasing, and cons...

A: Increasing decreasing

Q: he position of the particle at timet is given by s(t) =ť² – 4t + 3. The particle is moving from righ...

A:

Q: Solve for the general solution of the equation: y'=xy

A:

Q: The mass of the part of a metal rod that lies between its left end and a point x meters to the right...

A:

Q: et dx Ve²x+49

A:

Q: tan A - sec A = sin A-1 cos A 2 sin A- cos A cos A O cos A-1 cos A

A:

Q: The position of the particle at time t is given by s(t) = t – 12t + 35. The particle is moving from ...

A: The position of the particle at time t is given by s(t)

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t3 9t me...

A: The posotion of a hummingbird flying along a straight line in t seconds is given by st=2t3-9ta. Velo...

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A:

Q: dx 5. f xV16– 9x2

A: Given,           ∫dxx16-9x2To find : Integrate using trigonometric substitution.

Q: Given: cos a=, sin B= , and a and Bare first-quadrant angles; find cos(+ B). -33/65 16/65 1/3

A:

Q: %24 %23 - and r = 0. =D0. Find the area of the region enclosed by y = 5e*, y = 6e¯² and x = 0. 5- 4....

A:

Q: x? — х -2 lim 2 x +3x + 2 X→-1 X

A: First we factories then take limit. 

Q: Find the derivative using the formula f'(x)= g'h + gh' 1. cos x cot x Let g= cos x, and h= tan x. ...

A:

Q: x³ + 5 dx x4 – x3 + x²

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t - 15t ...

A: Topic:- application of derivatives

Q: cot A sin 2A =

A: cot(A)sin(2A)=cos(A)sin(A)2sinA.cosAcot(A)sin(2A)=2cos(A).cos(A)cot(A)sin(2A)=2cos2(A).ORcot(A)sin(2...

Q: Solve the following equation; domain 0osx < 360°; 3 cot x + V3 = 0 O 120 240 60 300

A:

Q: 5. 3x2+x-1 SC x+2 3x2 3x2 + 5x + 9 In Ix+ 21+ C 2. -5x +9 In Ix+ 21+C 2. 3x2 D 3x2 9. 6. + 5x + +C 5...

A: Given: I=∫3x2+x-1x+2 We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn...

Q: Kindly

A: Please refer to the image below

Q: A ball is thrown downward with a speed of 17 ft/s from the top of a 289-foot-tall building. After t ...

A:

Q: 9. Find the bounds of integration a, b, c, d such that T (a, u) dydar. f(x, y) dædy =

A: x≤y≤4x=y →y=xy=40≤x≤4x=0 to x=4  

Q: Ve dx -2 0.

A: If the limit is finite and exist then the integral is convergent .

Q: Evaluate the slope of the function: (Please solve using limits) a. f(x) =x^2 + x - 2 ...

A: a)   f(x)=x2+x-2                       at       x=-1.5Here f(x)=x2+x-2Thenf(x+h)=(x+h)2+(x+h)-2We kn...

Q: Obtain the solution using Integrating Factors Found by Formulas a.)  xydx − (x2 + 2y2)dy = 0

A: I am attaching image so that you understand each and every step.

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 5t³ – 12t...

A: The objective of the question is determine the velocity , acceleration and acceleration when velocit...

Q: A ball is thrown downward with a speed of 18 ft/s from the top of a 324-foot-tall building. After t ...

A:

Q: Select the best answer. cos( - 1) =

A:

Q: 22. Evaluate dr. x2 – 8x – 9 - a. cosh-1 -4 b. 4 cosh-1* – 4 +C C. sinh-1 – 4 5 +C d. 4 sinh-1 - 4 +...

A:

Q: 3 lim

A:

Q: Obtain the solution using Integrating Factors Found by Inspection y(x3y3 + 2x2 − y)dx + x3 (xy3 − 2...

A:

Q: 1 (s + 8)3J f(t): %3D

A:

Q: Find lim f(z) if 4x 1 472 < f(x) < + 3x for all z 5. T100

A: Apply sandwich theorem

Q: If E Uk and > vk are convergent series, then > (uk + vk) and (u – vk) are convergent series and the ...

A:

Q: Determine whether each of the following functions is (a) continous (b) differentiable. Show a comple...

A: Determine whether the function is a) continuous.b) differential.show a complete solution. 1.f(x)= x^...

Q: (х? + 2х + 3)(5—х) 10. g(x)= Зх + 2

A:

Q: Select the best answer. sin x 1+ cosx + sin x 1+ cosx

A:

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A:

Q: Evaluate the following limits using the limit theorems. Show your solutions. 1. lim (4x – 7) X-0 2. ...

A:

Q: The graph shows the megawatts of electricity used on one day in one city. 2500- 2400- 2300- 2200- 51...

A:

Q: What’s -3 x 5

A: Topic:- algebra   

Q: Select the best answer. cot A sin 2A =

A:

Q: If s(t) = 8t3 – 12t? – 48t + 4, represent the position of a particle traveling along a horizontal li...

A:

Q: Sind Vhe General Solulion for Uhe eumlion dk2 xp

A:

Q: :cos(-플x- 글) + 2. y = = COS

A: Amplitude : 1 Period       : 4

Q: Find f(t). 1 (s + 8)3) f(t) %3D

A:

Q: The position of the particle at time t is given by s(t) = t² – 16t + 63. The particle is moving from...

A:

Q: For the equation given below, evaluate y′ at the point (1,1). y-3x^2+2=0 y' at (1,1)=

A: Given equation differentiate w.r.t.x