1. Find the dy/dx of (2 Points) OY OY- 30"

Q: use the rules of differentiation to find an equation of the tangent line to the graph y=x^3+x at the...

A: Given query is to find the equation of the tangent on the given point.

Q: Suppose (2, -3, 4) x (1, 7, a)= (-16, 12, 17). Determine the value of a

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Q: Find the average rate of change of the function f(x)= −6cos(x/4), from x=8 to x=8.34.  Note, the di...

A: Given:     f(x)= −6cos(x/4), from x=8 to x=8.34. 

Q: Find the second-degree Taylor polynomial for f(x) = 4x? – 3x + 8 about a = 0. P2(x) = What do you no...

A: Taylor polynomial

Q: 2x – x3 1. Evaluate dx. (x – 1)² (x² + 1) 2. Use the previous item to determine if the improper inte...

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Q: ) Sketch the region of Integration and write an equivalent polar integral. Then evaluate the polar I...

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

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

A: Given query is to find the value of the indicated angle.

Q: 2x – x° dx (x – 1)° (x² + 1) 8.

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Q: Suppose Ryan borrows $9000 at an interest rate of 3% compounded each year. Assume that no payments a...

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Q: The bacteria in a culture can be assumed to multiply at a rate that at any given moment is proportio...

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Q: If x + y* + z - 2z = 1, then a) None of these b) 3x²+4y3 2-3z2 c) 4y3 2-3z2 d) 4y³+3z? 2

A: Given query is to find indicated derivative.

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) E(...

A: Geometric Infinite series :     An infinite geometric series is the sum of an infinite geometric seq...

Q: dy tan5 2x sec4 2x %3D

A: NOTE: Refresh your page if you can't see any equations. . use the formula  ................(1)

Q: Consider the following functions. f (-3,–2), (2, 0), (1, – 1), (–2, –5)} and 8 = {(5,0), (0, 1), (1,...

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Q: Determine the function f satisfying the given conditions. f'(x) = ex/5 f (0) = 15 f (x) = A eBx + C ...

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

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Q: Given the graph below, evaluate the following limits: = b Retrieved from:basiccalc_initial_release_1...

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Q: Determine whether the series converges. 1 k=l Vk + 6 The series diverges. O The series converges.

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Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) =x +xy +y - 9x + 1 o...

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Q: The function f (x, y) = ,x² +x + y² – xy + 3 has | a) None of these b) a critical point at (-2, –1) ...

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: solution:-y=5+2xy=15+x3  

Q: Find parameter a of the model by using the least square method. f(x) =x 6(x) = a* x 100 Error(a) = ,...

A: To find the parameter of the model by using the least square method.

Q: Find the terms through degree 4 of the Maclaurin series. f(x) = 5e* (Express numbers in exact form. ...

A: Maclaurin series :    f(x) ≈ ∑k=0∞ fk(0)k! xk = f(0) + f'(0) x + f''(0)2!x2 + f'''(0)3!x3+... du.v.w...

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

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Q: Given the series (n!)3 (7п)! n=1 an+1 find the ratio an (Express numbers in exact form. Use symbolic...

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Q: 5" i) E 2"+1 п n=0

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Q: 1094 26. A pizza is removed from the oven at a temperature of 425 F. After 15 minutes, the pizza has...

A: 26. initial temperature a = 425 F time t = 15 minutes final temperature y= 200 F    exponential func...

Q: 3x3-3 Evaluate lim 4x3 – 5x +7

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Q: The function g is defined by the following rule. g («) = G Find g (x) for each x-value in the table....

A: solution:-g(x)=17xg(-2)=17-2=72=49g-1=17-1=71=7g0=170=1g1=171=17g2=172=149hint,a0=1a-1=1aa is consta...

Q: Step 1 of 3: Use the following information to find (f • g)(x). ftx) = (x + 5) and g(x) = x2 - 5 %3D ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: 500 where r is the mortgage A county realty group estimates that the number of housing starts per ye...

A: According to bartleby guidelines I can only answer one of the questions given. 

Q: 7 Find the Paametric equ. for the line f intersect of the Planes 3x- 6y -2z =15 and 2X+Y-22%3D5? ans...

A: Given two lines, 3x-6y-2z=15 ....(i) and 2x+y-2z=5....(ii) Putting z=0 in (i) and (ii) we get, 3x-6y...

Q: 2л3 + 4г2 + 7a - 6 dx 24 — За? — 4

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Q: Evaluate | (3t +t?) sin(2t) dt 1/2 (3t+t^2) cos(2t)-1/4 (3+2t) sin(2t)+1/4 cos(2t)+c 1/2 (3t+t^2) si...

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Q: Determine whether g(x) is continuous on the following intervals. 1. (-5, -3) g(x) 2. (-3, -1) 3. (1,...

A: Given :   g(x) is a function that is :

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: Use cylindrical coordinates to evaluate the integral 2²dV where E is the solid that lies within the ...

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Q: Evaluate the following limits. 1. lim cos2x = X- 2. lim tan3x = 4 3. lim[log3 2x] = %3D

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Q: . (Subsonic flight) The efficiency of the engines of subsonic airplanes depends on air pressure and ...

A: y'(x) ∝ ydydx = -k y(Pressure decrease with moving above sea level)∫ dyy = ∫ k dxln y = -k x + ln Cy...

Q: (ii) L„(sin x) dx # 0 .

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Q: Step 2 of 3: Use the following information to find (g •f)(x). fte) = (r + 5)* and g(x) = x2-5 %3D An...

A: The given function is: fx=x+512 and gx=x2-5 To find the value of gofx.

Q: Question 3 ) For the function 4Vi + 2t + 1 f(t) = consider the definite %3D integral 2 - f(t) dt. a)...

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Q: S. xdx (x²+2)3 A 2(x+1) 4(x²+1)2 B +C 2(x+2) 2(x²+2) 2 +C 4(x²+2) 2(x²+2) ? D 2(x+2) 2(x+2)?

A: Substitute, x2 + 2 = t.  

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: x = -30°, cos 2x = 1 - 2 sin2 x 1 + 2 sin 2 x 1 - 2 sin 2 x 1 - 2 sin x 1 + 2 sin x

A: This question is based on Proving a Trigonometric equation.

Q: How do I subtract fraction

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Q: Consider the following initial value problem. The exact solution is provided for you to compare with...

A: In order to calculate y(1) we need to calculate h and solve step wise using Euler's formula.   

Q: Please

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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 ...