Differentiate each function with respect to x. 1. y = ((2x^3-1)^5+ 1)^3 2. y = ((-5x-3)^5 + 1)^2 3. y = ((x^3-2)^5 - 2)^3

Q: 31) Find tue derivetive of tue funcrion heae) = I Sinh 2x -7X 4

A: For derivatives we just apply differentiation both side. 

Q: The slope of the tangent line to the curve y at the point (2, 1) is: The equation of this tangent li...

A:

Q: A cylindrical tank of radius 5m and height 18 m that tank two third filled with Liquid (Liquid asity...

A: Follow the procedure given below.

Q: Write an equation for the function graphed below 5+ \2+ 3. 3. 3. -2 -1 -1+ -7 -6 -5 -4 -3 567 -2+ -3...

A: From the graph it is clear that x=-2 and x=3 are the vertical asymptotes. And the sign changes aroun...

Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y y =...

A: Given:    f(x) = 7x(x-2)2

Q: 9.) f(x) = (2x + 1)* %3D

A: The given function is: f(x)=(2x+1)4

Q: 1. The shadow cast by a post measures 6 feet. If the distance from the tip of the shadow to the topm...

A:

Q: 1.) f(x) = (2x + 1)(3x – 2)

A:

Q: Find the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter y...

A:

Q: oulli’s equation, x' = a(t)x + f (t)x^n, n /= 0, 1, was proposed for solution by James Bernoulli in ...

A:

Q: Given the equation (cos x + 2 sin x)2 S Cos x If you integrate the given equation, the answer is

A:

Q: siny+ tan y = siny %3D 12. 1+ secy

A:

Q: 8. Determine whether v(x) = r'+3|x| even, odd or neither. Discuss its symmetry.

A: Q8) Given: v(x)=x3+3x  

Q: Janet offers her friend Sam (who has identical preferences and initial wealth) the following proposi...

A:

Q: 2. Find the general solution of the first-order equation dy _ y² – 2ry dr

A:

Q: Evaluate f (2x + 1) dx by two methods: (a) Expand (2.x +.1)' by the binomial theorem; (b) let u = 2x...

A: Given that ∫2x+13dxa. using binomial expantion2x+13=c302x3+c312x21+c322x112+c3313=8x3+34x2+32x+1=8x3...

Q: (® Find J (x) if fraxy = 10 Vzx-5

A: The given function is: f(x)=102x-57

Q: 1 x3 cos 2 4- x² dx 2

A:

Q: The line L has parametric equations x = 6t – 7, y = –2t – 3, z = t – 3. The line L2 has symmetric eq...

A:

Q: True or False? The product of two imaginary numbers is always an imaginary number.

A:

Q: se the shell method to find the volume of the solid generated by revolving e shaded region about the...

A: Topic:- application of integration

Q: Find each total value. Draw an X on the coin with the greatest value. 1. 2. Start with 25 ¢ Start wi...

A: We have to find total value of coins and the greatest value of the coin .     

Q: How do I solve this non-exact DE (4x+3y-7) dx+ (4x + 3y+1) dy=0?

A: Consider the substitution, z = 4x + 3y

Q: 5 1 from y = 1 to y= 2. 3 12y Find the length of the curve x =

A: NOTE: Refresh your page if you can't see any equations. . for simplicity interchange the variables

Q: 4. Brian wishes his son to receive P500,000.00 twenty years from now. What amount should he invest i...

A: Brain wishes fis son to receive P500,000.00 twenty years from now.

Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' = 3[-1(...

Q: 4) Two surface ships are trying to determine the course and speed of a nearby submarine to prepare f...

A:

Q: 2² +3 I 1

A: If left hand limit and right hand limit and function value are equal at any point then continuous

Q: Find the second derivative of ?(?) = sin(4?4). use the chain rule

A: Follow the procedure given below.

Q: valuate the integral in the image below.

A: To evaluate:∫02π∫01∫r12-r23dzrdrdθ

Q: The price, in dollars per units, that consumers are willing to pay for a popular high-end digital ca...

A:

Q: Let ū = -4î + 4ĵ – 3k and i = î – 25 + 2k. (a) Let w = proj, ū. Compute w. (b) Compute u-w and show ...

A:

Q: For the given​ functions, find f o g (x) and g o f (x) and the domain of each. f(x)=1-x/4x g(x) ...

A: We have to find domain and f(g(x))

Q: 15 51 :- -/- -1- :- ーによ -1- イーキーーュ ナー ートー- ー ーー III II III IL 1,0 15 15 -1 ーャー- -15 r2 + 13x + 42 f(...

A: The given question can be solved as shown in step2.

Q: Find the equation for the plane through the point Po = (8,4,8) and normal to the vector n=2i + 2j + ...

A:

Q: reproends the volume of the solid of revolution obtained byrotating the region 2)Set up but do notev...

A:

Q: Find tue denivative of tue function f(x) = arc sec( 8x)

A: here we will find the derivative of arcsec(8x),

Q: evaluate the definite integral of " sqrt{x}ln{x} " for the domain [1, 2

A: Given: - The definite integral is, ∫x.lnxdx for the domain1,2 To evaluate: - The solution of the giv...

Q: Problem 1. Evaluate the following integrals x + 4 (a) S ; d.x x2 + 2x + 5

A: As per our guidelines we are supposed to answer only one question i.e. the question no (a). For the ...

Q: f ind f+g, f-g, fg and -. Determine the domain for each function 6x + 7 5x + 4 f(x) = 2 x -9 g(x) = ...

A: Note: - Since you have posted a question with multiple sub-parts, we will solve first three sub-part...

Q: Q2/(a): Evaluate the double integral , 3xy dA over the rectangle dA = dydx} R {(x, y): -3 x< 2, 0sys...

A:

Q: 4. Use the given information to sketch the graph of the function f. (-2,1)u(1,x) all real except X -...

A:

Q: 10. Discuss the Bisection method to find the real root of an equatio f(x) = 0. Using this method fin...

A: Bisection Method: Consider a function:  f(x)=0Now we consider two numbers a and b such that a&lt;b a...

Q: Discuss the method of False position to find an approximate root of an equation f(x) = 0. %3D

A: We have to describe the method of false position.

Q: The graph of y = f(x) (solid) and y = g(x) (dashed) is shown 0+ 4- 2. -6 -5 -4 -3 -2 2 3 4 -2 -3 -6

A:

Q: Q31 Find (fog), (gof), (fof) and (gog) and the corresponding *:domains of the following functions 1....

A:

Q: x+5 lim x→2 x´ – 4 x+5 lim x→2* x? – 4 x+5 lim 2 x→2 x² - 4

A: The given limits,limx→2-x+5x2-4limx→2+x+5x2-4limx→2x+5x2-4

Q: convert -240* to radians a -5n/4 b -5n/6 c -4n/3 d -7n/6

A: To convert -240° into radians.

Q: 15x 5. Find lim using special limits. X→0 sin 3x

A:

Q: The graph shows the positions = f(t) of a cart hours after 5:00 P.M. relative to its starting point ...

A: given graph