For the given function f(x), determine the equation of the tangent line at the point P(1,1) f(x) = v5 – 4x(2x³ – x)² (you do not need to simplify the derivative) %3D

Q: what is sin^-1(cos^-1((1))

A: Letcos-1(1)=x⇒1=cosx⇒cosx=1we know that ,cos0=1⇒x=0⇒cos-1(1)=0sin-1(cos-1(1))=sin-1(0)let sin-1(0)=y...

Q: x² + 4x +4 x 1 -

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Q: Find the point on the line 5?+2?−2=0 which is closest to the point (0,0).

A: Find the point on the line 5x+2y−2=0 which is closest to the point (0,0). here we can first find the...

Q: Evaluate the algebraic expression for the given values of the variables. -x - 3xy + 3y°; x= - 1, y= ...

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Q: The temperature is T degrees at any point (x, y, z) in three-dimensional space and T(x,y, z) = 1/(x²...

A: Given

Q: Solve the equation by the method of your choice. 5x - 9x – 14 = 11- 9x The solution set is { }. (Sim...

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Q: consider che funceion h= w²-8.Tawei Determine dh/dt and w= St"-26

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Q: Suppose that someone deposits $2000 in an account that earns 4.0% simple interest. Complete parts (a...

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Q: 1 and g(v) = Vv+ 5, find (f o g)(v) and (g o f)(v). v2 + 1 If f(v) =

A: The given functions are  f(v)=1v2+1  &  g(v)=v+5

Q: 2 1 2 A = = | 3 -2 4 -3 -5]

A:

Q: Let

A: We will find the partial derivative with respect to x. 

Q: Find the radius of convergence and the interval of convergence. 00 (x – 3)* 2* k=0 1) First apply th...

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Q: Suppose that R is the finite region bounded by f(x) = Va and g(x) 2 %3D Find the exact value of the ...

A: Let's find. 

Q: use the Monotone Convergence Theorem to show the sequence In! converges and find its limit.

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Q: For items 18-19: A particle is moving on a line at t seconds, s ft is the directed distance of the p...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: 2. Graph the function f (x)= x+ Vlx\ . Zoom in repeatedly, first toward the point (-1, 0) and then t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

Q: A certain bacteria population is known to quadruples every 90 minutes. Suppose that there are initia...

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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: dy sec x.tan x dx 1- sec' x

A: differential equation

Q: Given: sin A = ! and cos x = - ; evaluate the following expression. %3D (8: Quadrant I, x : Quadrant...

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Q: 5-4x2 dx 3+ 2x

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Q: 2x-x xp - (r-1)° (x²+1) -0-

A: Given ∫-∞0 2x-x3x-12x2+1 dx                         =-∫-∞0x3-2xx-12x2+1dx ........................(i...

Q: k(x) = 1- |r – 3|

A: For (b), Given: The domain of a function is the set of input or argument values for which the funct...

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and find the nth Maclaurin polynomial...

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Q: EF = (6x – 4y, z – 4x, y – 8z), then V × F = 0.

A: Topic:- application of derivatives

Q: 2. Find an equation of the line that is tangent to f(x) = x³ and parallel to the line y = 3x + 1 (Hi...

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Q: Given x+ y +z= 5 and Po(2,2,1), find the following. (a) Find the equation for the tangent plane at t...

A: Here is the solution

Q: Fill in the blanks , what are t

A: Given: - The function is, f(x)=log3(x+3), graphed below, To complete: - The function f(x) is  funct...

Q: Find the limits of the functions below a) limx-3 x* sin x b) lim,

A: We can find the limit of both the question as below.

Q: a) Determine the derivative of the function f(x) = (x + 1)³(3x – 5)*. Write your answer in simplifie...

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Q: t' sin (2t*) dt Evaluate O 1/8 t^4 sin(2t^4) - 1/16 cos(2t^4 )+c O -1/8 t^4 sin(2t^4 )+1/16 cos(2t^4...

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Q: For a given quadratic function f(x) = x- 42x + 98, %3D 1 Answer : (Choose the answer in the boxes) h...

A: Do the simplification and then compare with the standard form of equation and answer each part. 

Q: Find the volume generated by rotating the region bounded by y = e¯ , y = 0 , x = - 1, x = 0 about th...

A: Find volume. 

Q: x2 2. S dx 4-x2

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Q: 1 – x2 + V1 – x2 In|(sqrt(1-x^2))-1|+c -In|(sqrt(1-x^2 ))+1|+c -In|(sqrt(1-x^2))-1|+c In|(sqrt(1-x^2...

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Q: 1, 2, 3> and B = , P = (9, 8, 7) s the angle between A and B? (I should not have to specify this, bu...

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

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Q: 10. The following is a power series except for 00 00 (x – 1)" 00 (2х + 5)3п b. 2n Σ а. (2 — 5х)" nn ...

A: Power series is a series of the form ∑n=0∞ cn(x-a)n

Q: Correct Consider the following functions. f(-3) = 14 and g(-3) = -11 %3D Step 2 of 4: Find (f- g)(-3...

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Q: Modeling a plane for takeoff. Using differential get the takeoff speed after 1 min. • (Airplane take...

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Q: Estimating e 0.8 using a Maclaurin polynomial, what is the least degree of the polynomial that assur...

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Q: 2. Use the previous item to determine if the improper integ 2x – x3 d.x (x – 1)²(x² +1) 8∞ converges...

A: This is a problem of improper differential equation. First by partial fraction decomposition we will...

Q: Evaluate [sec^2 (-1-0.1i)][tan(12-36i)]. Express your answer in rectangular form in 4 decimal places

A: The given expression is sec2-1-0.1itan12-36i. We have to find the rectangular form.  

Q: Solve and check the equation. 6x - 5(x + 5) = 2x-2 Select the correct choice below and, if necessary...

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Q: Find the derivative of the function using the power rule. (a) f(x) = 3/5x5 − 4x −4/3x-3 (b) f(x) = x...

A: a) f(x)=35x5-4x-43x-3 f'(x)=ddx35x5-4x-43x-3       =35ddx1x5-4ddxx-43ddx1x-3        =35ddxx-5-4-43dd...

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: Find the area of the region enclosed by y = 4.75x and z = 9-y". -2 1 2 3 4 5 6 7 8 9 -1 Use horizont...

A: here y =4.75x x=9-y2 we have to find y so y/4.75 = 9-y2 y = 42.75 - 4.75y2 4.75y2 + y -42.75 = 0 y=2...

Q: lim -Vx + +sin(x)cos(x) 1+In (x)

A: Topic:- limits

Q: f (t) = t5 e(1-t)

A:

Q: For each of the following, sketch the volume being formed, then calculate the total volume and the t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...