Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and circles and by subtracting the areas below the x-axis. y 4 3- |x – 9| 3 2 1-|x - 1| 1 1 4. 7 8 9 10 11 12 -1 -2 +8 x - 12 -3 -4

Q: Using product rule to find f’(1) in f(x)=4x^4(e^x)

A:

Q: 26. Find the absolute maximum value for the function f(x) = x2 - 3, a on the interval [-4, 0) U (0, ...

A:

Q: 4. Consider the surface S parametrized by R(u, v) = (uv, sin u, cos v). Find an equation for %3D the...

A: The given curve S is parametrized by: R→(u,v)=uv,sin u,cos v Now, to find the equation of the tangen...

Q: Te relationship beween a profesSIonal basketball players helgh H (IN Ihches) anta welght w (In pound...

A: Given query is to find the weight for the given modal.

Q: Using the integration bay parts formula with u = x², dv = cos x dx, the integral x* cos x dx becomes...

A: Given u=x2   & dv=cosx dx∫x2 cosx dx  

Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

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

Q: Question Find the equation of the tangent line to f- at the point P(-2, 1) for f(x) = x – 4x4 + 1. P...

A:

Q: True or False: If we use substitution the substitution x = tan 0, then, the integral dx V1 + x2 tran...

A:

Q: 12x e-y with x 20 and an initia. Solve the initial value problem condition y(0) = 1.

A: Topic = Differential eqaution

Q: Use the Laplace transform to solve the given initial-value problem. dy -y = 1, y(0) = 0 dt y(t) = %3...

A:

Q: If the second derivative of the equation of a curve is equal to the negative of the equation of the ...

A:

Q: Section 3.7 p. 343/345 # 364 Determine whether the improper integrals converge or diverge. If possib...

A:

Q: 9 y = Arctan(+x, 1- 2x

A:

Q: To evaluate the integral / V16 – x² dx, we use Select one: O x = 4 sec 0 O x = 4 sin 0 O x = 3 sin 0...

A:

Q: Consider

A: Please refer to the image below

Q: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

A:

Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−1.9q+850​, how many items must...

A: Given query is to find the number items to be sold to obtain the maximum profit.

Q: If f(x) = tan (3x), then f'(æ): (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec2(3x) (C) 12 tan (3x) (D)...

A: Using chain rule of differentiation

Q: Your are driving away from Tulsa. Your distance​ (in miles) away from Tulsa x hours after​ 12:00 n...

A:

Q: Now, suppose this is actually the graph of g'(x). Answer the following questions about the function ...

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed ...

Q: It takes 1900 J of work to stretch a spring from its natural length of 1 m to a length of 4 m. Find ...

A:

Q: Use linear approximation, i.e. the tangent line, to approximate V27.3 as follows: Let f(x) = Vx. The...

A:

Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.

Q: 18) rind fue indefinite inpagrel by ma uing tue Subs titel fion x=2Seco. af -de

A: The detailed solution is given below Thank you 

Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

A:

Q: Write the comp number in standard form. (Simplify your answer completely.) 3-V-64

A:

Q: Find the area of the triangle with the given vertices.     (−1,−1), (5,−1), (2,5)   The area of the ...

A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

Q: yi + yi = 1, when x = 0, y = 4 %3D

A:

Q: (b) Determine the equation of the line normal to f(r) =r²- 4r +5 at z = 1., Hint 1: The normal line ...

A:

Q: Find a general solution for y in terms of x that satisfies the first-order linear differential equat...

A:

Q: Consider a utility maximizing consumer who generates utility according to the following 1 utility fu...

A:

Q: Consider f(x)=ax+xln(bx)f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(...

A: f'(x)=a+1+logbx Increasing 

Q: Consider the following. w = xy2 + x?z + yz?, x = t2, y = 6t, z = 6 (a) Find dw/dt using the appropri...

A: Here, the given functions are: w=xy2+x2z+yz2, x=t2,y=6t,z=6

Q: F (x. y) = 3x2+3y2-18y+15 4- /2x+4y+4 a) Find domain b) Find sign Diagram

A:

Q: for the indicated integral, what would the first step be? sin't dt, Vcost Save a sine and convert th...

A:

Q: In a world where people's happiness is the product of the square of the amount of one's food which c...

A:

Q: Consider the region between the curve y = sin(x) and the x-axis, between r = 0 and x = on is rotated...

A: To find the volume of S using cylindrical shells method. Given information: Let S be the solid obtai...

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x 2, an...

A: We use the formula for volume=π integration of y2 from x=a to x=b.

Q: If u = e°", 3x dv = 4 sin 2x da then 3e* da, v = 2 cos 2x. Select one: O True O False

A: Let's find. 

Q: 2 V = 5500 find (1- 50 0<t< 50 the cate which water drains at tme (rate must be nesative).

A:

Q: Find an арprozimation of 1000 i=1

A: Find your answer below 

Q: Find the local maxima, local minima, and saddle points of z = f (x, y) = x2 + y* + 2xy Identify a,y,...

A:

Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.                                                 ...

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

A:

Q: 4x 1. Зу': y? %3D

A:

Q: Given cost and price (demand) functions C(q) = 110g + 41,000 and p(g) = - 2g + 870, how many items m...

A: This question is based on application of derivative .

Q: In the first derivative of a function is a constant then the function is LINEAR. A True B) False

A:

Q: If x + y = 0 and x # 0, then what is the value of x 2007 y 2007 O -1 O 2 O 1

A:

Q: KIDAPAWAN CITY CA sin a = 1 to obtain the limit of the following: II. Apply lim a-0 a sin5x 1. lim x...

A:

Q: Qal AIf fo =Sx-ul, gca)=x fin d fogcx) Then graph it determine domain and range.

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