lim x? -6

Q: Help me with all the questions here Thank you

A: Given that, The equation of the curve is y=24-x Points are P5,-2, Q = x, 24-x By using the slope for...

Q: If ax2+2hxy+by2=0 respresents two straight lines such that the slope of one line is twice the slope ...

A:  

Q: 107-Calculus I Spring20 Finda point on the graph of /(x)=6x - 15 where the tangent ine is parallel t...

A: Given: fx=6x23-15 Tangent at a point on the curve fx=6x23-15 is parallel to the line y+x=1. Slope ...

Q: Evaluating integrals Evaluate the following integral.

A: Given- ∫0π23∫0xycosx3dydx To find- The value of the above integral.

Q: I need help with this question

A:   It is given that the slope of the tangent line at (x, f(x)) is 3-4x So we have  f'(x)=3-4x   And t...

Q: Calculate the derivative of the following functions. y = sin (4x3 + 3x + 1)

A: Consider the given: Find the derivative: y=sin4x3+3x+1Find the derivative w.r.t. "x":y'=ddxsin4x3+3x...

Q: Finding a Composition If T(x) = find func- VI + Vx tions f, g, and h such that f°goh = T.

A: T(x)=11+x

Q: A television manufacturer makes rear-projection and plasma televisions. The profit per unit is $125 ...

A: Given that  x = The number of rear projection manufactured in a month. y = The number of plasma tele...

Q: Use properties of logarithms to expand the logarithmic expression log9(9/x)  as much as possible. Wh...

A: log99x

Q: and y) - what is the inital va lue solution of the probem a) aresin x 61 y= arc'sinx + 211/3 y= arc ...

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: A not uncommon calculus mistake is to believe that the product rule for derivatives says that (fg)′ ...

A: Derivative: f(x)=ex2We know the product rule,    ddx(u.v)=u.dvdx+v.dudx

Q: 9-16 Find f'(x). 1 9. f(x) = x-3+ x7 %3D 11. f(x) = -3x-8+2x %3D

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Q: 19-20 Find dx/dt. 19. x = 12 - 1

A: x= t2 -t dx/dt is differential of x w. r. t to time  

Q: Given the function f(x) = x- 8x2-6, determine the absolute maximum value of f on the closed interval...

A: Consider the given function. fx=x4-8x2-6 Any value M is the absolute maximum value if f(x)≤M for all...

Q: Multiply or divide. [(6x + 9/3x - 15) . (x - 5/4x + 6)]

A: The given expression is 6x+93x-15x-54x+6

Q: Solve each inequality. Write your answer using interval notation. (2x-3)/(x+1)<=1

A: Given inequality 2x-3(x+1)≤1 Subtract -1 from both sides 2x-3(x+1)-1≤1-12x-3(x+1)-1≤02x-3-x-1(x+1)≤0...

Q: аppropriatе Find the normal to the curve x2 + y2 = 2x + 2y that is parallel to the line y + x = 0. A...

A:

Q: Find the curve y = f(x) in the xy-plane that has the given properties. f(x) has a slope at each poin...

A:

Q: A rectangle has a length of 4 inches and a width of 12 inches whose sides are changing. The length i...

A: Let x and y be the length and width of the rectangle at any time t respectively. Now according to gi...

Q: Verify the Mixed-Derivatives theorem for the following function.  D = 7 w = x sin y + y sin x + 2D −...

A: We know that , Mixed - derivative theorem state that  If f(x,y) and its partiality derivatives are d...

Q: 19. lim x→2- x² – 4 eas y + 6 21. lim y→6+ y2 – 36 -

A: Given that limx→2- xx2-4 limx→6+y+6y2-36

Q: Solve the problem. Find all points on the curve y = cos x, 0 sxs 2T, where the tangent line is paral...

A:

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning. Afte...

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Q: x? 3xy +y?=19 what s the dy at point

A: "Since you have posted multiple questions, we will answer the first question. If you want the remain...

Q: Dot products Compute the dot products of the following vectors.a. u = 2i - 6j and v = 12kb. u = ⟨√3,...

A: a. Given, u=2i-6j  &  v=12k Now, u·v=2i-6j·12k=2i-6j+0k·0i+0j+12k=2·0+-6·0+0·12=0

Q: xS +x – 2 53. lim x+1* x2 +x –2

A: Consider the limits:

Q: Find dy/dx for the following functions i)x=3 cos t-2cos3t ii)y=3 sin t -2 sin3t

A:

Q: a.Show that the given equation is homogeneous. b.Solve the differential equation. c.Draw a direction...

A: Given:                        y'=-4x+3y2x+y   To determine:           a) Show that the given equatio...

Q: Evaluate ( 4 dx.

A: To evaluate ∫4xdx

Q: Question 008: Complete the following question involving right triangle trigonometry. Use the right t...

A: Given that in right triangle  Side O = 3 Side A = 14 We need to find the angle X. As we know that in...

Q: Stuck on 58 and 59. Need help. Thank you

A: 58. It is given that ∫01fxdx=1 and ∫02fxdx=4.  The value of ∫12fxdx can be obtained by subtracting ∫...

Q: Evaluate the integral using the indicated trigonometricsubstitution. Sketch and label the associated...

A: Consider the integral  ∫x3x2+4dx  

Q: The function f is shown below. If g is the function defined by g(x) = | f(t)dt, -6 determine what co...

A: we are given with function f(x) g(x)=∫-6xf(t)dtInteral of any derivative function is g(x)g(x)= integ...

Q: Calculus Question

A: Since you have asked multiple questions in a single request so we will be answering only first quest...

Q: A particle moves along the x-axis so that at time t> 0 its position is given by x(t) = -t3 +11t? 24t...

A: For the given position vector  x(t) = -t3+11t2-24t Velocity at t = 7 is calculated as shown below   

Q: Find the indefinite integral using any method ∫√(1 + √x) dx

A:                                      Given: ∫ 1+x dxBy using the Substitution methods:Put   1+x =t  ...

Q: A force F = 2i + j - 3k is applied to a spacecraft with velocity vector v = 3i - j . Express F as a ...

A: F=2i+j-3k  &  v=3i-j Now, F·v=2i+j-3k·3i-j=23+1-1-30=5 & v=32+-12=10 Therefore, ProjvF=F·vv2...

Q: e function g is shown below. If f is the function defined by f (x) = | g(t)dt, %3D -6 nd the value o...

A: Given function is: fx=∫-6xgtdt To find the value of f-6 in simplest form. fx=∫-6xgtdt Substitute -6 ...

Q: Evaluate the definite integral. 16 | (30yvy +9Vy) dy 16 |(30yvy +9vy) dy=O

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Q: 19. lim x→2- x2 - 4 y + 6 21. lim y→6+ y² – 36 y +6 23. lim y 6 y2 – 36

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Q: 31. Evaluate , f(x) dx given that f(x) dx = 3, 2 f(x) dx = -2, and f(x) dx = 5. %3D

A: Given ∫−11f(x)dx=3∫23f(x)dx=−2∫13f(x)dx=5 To find: ∫−12f(x)dx  

Q: If 0°<θ <90°, θ is a/an_______ angle. If θ = 90°, θ is a/an______ angle. If 90° < θ < 18...

A: Given: If 0°<θ<90°  is a/an ...... angle. If θ=90° ,θ is a/an ..... angle. If 90°<θ<180°...

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.