Use the chain rule to find the derivative of 12 3(-10x + 8x") You do not need to expand out your answer.

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). f(x) 2x + v 4x +2 %3D

A: limx→∞2x+4x2+2limx→∞2x+x4+2/x2limx→∞x(2+4+2/x2)=∞ limx→∞2x+4x2+2=∞

Q: Find the tangent to y = x-x+5 at x = 5. The tangent to y = /x -x+5 at x= 5 is y = || 2.

A: As we know that, The expression for the equation of the tangent line is: y-y1=mx-x1 Where, ''m'' is ...

Q: Find an equation of the plane. the plane through the point (9, 2, 5) and with normal vector 3i + 5j ...

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Q: Use the method of undetermined coefficients to solve y''- 4y'+3y = x^2+ 2x-3e^3x.

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Q: y = (9+ 6x)²/¤ dy a) Use logarithmic differentiation to find dx dy %3D dx 5) Find the slope of the t...

A: Given:- y=(9+6x)2/x To find:- dy/dx  Slope of tangent line at x=1  Equation of tangent line at x=1

Q: 5. f(2)=-_? 2x+4 %3D 7. _*+1 * +x+1 f(x) = - 2. 9. 2-4x+3, x#0 f(x) = x=0

A:

Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at w...

A: NOTE: Refresh your page if you can't see any equations. . the revenue is given by

Q: Find the general solution to y = -e*y² + y +e²

A: Given first order differential equation is solved by using integrating factor.

Q: 11) sin-! 2

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Q: Use los, differentiation to find dydx X+3

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Q: Problem 2. A Bernoulli differential equation is one of the form dy + P(x)y= Q(x)y" (*) dr Observe th...

A: First order differential equation : Consider the first order differential equation             dydx+...

Q: Consider the function f(x) given by the graph below. y -5- f(x) -5 Determine the limits. If a limit ...

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Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t²)" on the interval [-1,2] by com...

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

Q: Use variation of parameters to solve y'' - 7y' +10y= e^2x.

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Q: equations for the line segment that joins P to Q. P(0, 0, 0),    Q(−3, 8, 6) vector equationr(t)=   ...

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Q: Find the slope of the graph of the function f(x) = V3x at (3,3). Then find an equation of the line t...

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Q: Find an equation of the tangent line to the curve at the given point. x? + sin (y) xy + 4, (2,0) (Ex...

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Q: Find the slope of the tangent to the curve f(x) = at the point where x = 4

A: Given that: f(x)=5x

Q: Find: Ex, fxx , fy, fyy, fxy, Fyx x +y F(X, y) = X+y x4-1

A: Given that: f(x, y)=x+yxy-1

Q: Find the average value of the function g(x) = xe *in the interval [I, 4].

A: We know that average of the function in the given interval is the ratio of the integral of the funct...

Q: A farmer has 1700 m of fencing and wishes to enclose a rectangular area and then divide it into 5 co...

A: A farmer has 1700 m of fencing and wishes to enclose a rectangular area and then divide it into 5 co...

Q: 7. Consider the region above the r-axis and below y = e=² with x > 1, shown below. 1. Consider a wiz...

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Q: cln 10 Evaluate Jin 8 dx e – 5

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Q: Evaluate the integral į. I. (1 - x - x² – y²)dA Where R is one-unit circle on the xy-plane.

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

A:

Q: Use a truth table to represent the following statement. Ensure that you explain the steps taken. Rox...

A: Given:     1.Roxanne, Sam and Thomas will attend the play if and only if Vince doesn’t attend,     2...

Q: Set up, but do not evaluate, an integral for the length of the curve. x = y + y, 4sys6 222 L V1+ (1 ...

A: topic - length of the curve calculator

Q: y'(x² +2)+4x(y² +2y+1)=0, y(0) =1.

A:

Q: Consider the following equation of a circle. (x- 8) + Step 3 of 3: Find three points that lie on the...

A: The given equation of the circle is: (x - 8)² + (y + 6/5)² = 25/9   

Q: du/dv = (3u-v)/(u+v) partial

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Q: (c) log, 2k (d) 74log, 5 – 5 log, 4

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Q: 2.2 2.4 | g' (x) | 25 49 81 Let y = g(x) be the particular solution to the differential equation = g...

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Q: Find the minimum and maximum of the function y = z – 405z on [-4,4] by comparing values at the criti...

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

Q: Solve the initial value problem (x+ 2) y' = xy + 2y – 3x – 6 when x = 0, y = 1.

A: (x+2)y' = xy + 2y - 3x - 6  So, (x+2)y' = (x+2)y - 3(x+2)  So, (x+2)y' = (x+2)(y-3) 

Q: Evaluate the following definite integral. |2x2 – 2x|dx

A: We have to find ∫-222x2-2xdx

Q: Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = 2x2 + x; a = -8 ...

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Q: Give the coordinates of the vertex of the graph of the function. Graph the function on a window that...

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Q: Evaluate and solve the linear differential equation. (d2x)/(dt2) + 2 (dx)/(dt) + 5x = 8e-t, when t ...

A: Given differential equation can be writen as, (D2+2D+5)x=8e-t.....(i)d=ddt, x(0)=0...(ii),dxdt|t=0=8...

Q: 2 Ix sin'x COS X x² 2. (x sin?x? cos x? dx

A: ∫ xsin3x2cosx2dx

Q: If two objects travel through space along two different curves, it is often important to know whethe...

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Q: that f(r) >0 and (r) (a) Determine which of the following functions are probability density function...

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Q: Consider the region bounded by y = x and y = Vx, shown below. Find the volume of the solid obtained ...

A: This question is related to definite integration, we will solve it using given information. 

Q: Due to depreciation, the value of an automobile t years after purchase is f(t) = ((900 + 6t / 1+0.5t...

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Q: dt 七

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Q: Math 150 PO1 Homework: HW 2.6 Part 1 Applications of Derivatives Question 8, Instructor-created ques...

A: height of ball is given by f(t)=-16t2+298t+22 we want to find velocity of ball at height 120 feet

Q: Evaluate the integral from 1 to 7 for the following: w2 ln(w) dw

A: NOTE: Refresh your page if you can't see any equations. . use the integral by parts

Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y

A: Given: - The function is, y=1+lnx3xand use a graphing utility to verify your result, To find: - The...

Q: The figure below shows the graph of a function over the closed interval -25xs2. Complete parts (a) t...

A: Topic:- calculus

Q: Suppose that a piston is moving straight up and down and that its position at time t sec is given by...

A: Find your answer below 

Q: dx 4-x とt

A: