s³ - 343 Define f(7) in a way that extends f(s) = s²-49 to be continuous at s = 7.

Q: Find the limit. 5) lim 3x²+7x-2 x- 3x² - 4x-2

A: We will find the required limit.

Q: 2 x² dx √4-x² 2

A: Let's solve given integration.

Q: Evaluate the given integral by changing to polar coordinates. JJ 5(x + y) dA where R is the region…

A:

Q: 2. A cellphone company charges Php 25 for at most 2gb of data used in a month, and an additional Php…

A: The answer is in step 2.

Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

A:

Q: 4. 4.1 4.2 The demand for a certain item is given by q=-5p²-7p+900 where p represents the price of…

A:

Q: 6 √√√m² +2+m6dm

A: Concept: Power rule of the integration ∫xndx=xn+1n+1+C Where C is constant

Q: x3 Find the absolute maximum and absolute minimum of the function f(x) = 3 Provide your answer…

A: The given function is  f(x)=x33-7x22+10x-6,       0, 4

Q: The population of a city is modeled by the equation P(t) = 338,343e0.1t where t is measured in…

A: Topic = Algebra

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

A:

Q: The reproduction function for a whale is estimated to be f(p) = -0.0005p² +1.02p, where p…

A: Given,          The reproduction function for a whale is estimated to be                     f(p) =…

Q: The following table shows retail sales in drug stores in billions of dollars in the U.S. for years…

A:

Q: Let f(x, y) = x² + 2y² List the critical points: 24xy. The critical point at the origin is a saddle…

A:

Q: If z² = x³ + y²₁ dt dx dt Please give an exact answer. || - Provide your answer below: - dy 2, = =…

A: Topic = Derivative

Q: To calculate the integral 3 /VR²³116 dr dx x² + 16 we want to make the trigonometric substitution

A: To solve the given integral.

Q: Use a scalar projection (NOT A FORMULA- unless you derive that formula as part of your solution) to…

A: Here we have to find the shortest distance from the point (1,−2,5) to the plane given by…

Q: Determine all values of x that satisfy the equation: 3x-2 = 27x+5 b. Use the properties of…

A:

Q: ans against the side of a house. The angle of elevation of the ladder is 66°, and the top of the…

A: Given query is to find the length of the ladder.

Q: Determine the area of the region bounded by two the curves f(x) = x² - 16x + 14 and g(x) = 8x + 7.

A: Topic = Area

Q: the short test distanse between the two curves y=sinx² and x² + y² = 2. where the interset oregen…

A:

Q: Find fx and fy, and evaluate each at the given point. arctan(ỵ), (2,-2) f(x, y) fx(x, y) = fy(x, y)…

A: Given:        fx,y=arctanyx , 2,-2     fxx,y=∂∂xarctanyx                   =1yx2+1∂∂xyx taking y as…

Q: Sketch the plane curve. (t)-4-. (0,4) y V 10 15 V 10 15

A: Sketch the plane curve

Q: You have the innial value problem below, solve it analyitcaly write you answer as a symbolic…

A: need to find out the solution.

Q: A particle moves along the x-axis so that at time t> 0 its position is given by x(t) = t4 - 18t² –…

A:

Q: |s sin³ 50 √ cos 50 de

A:

Q: A particle moves in a straight line with velocity 10 - 4t ft/s. Find the total displacement and…

A:

Q: Find the linearization L(x,y,z) of the function f(x,y,z) at the given points. f(x,y,z)= ex+cos (y+z)…

A:

Q: Suppose that the length 7, width w, and area A = lw of a rectangle are differentiable functions of…

A:

Q: A 32 grams of a certain substance was initially poured and dissolved in an 18-liter container full…

A:

Q: A function f (x) is continuous at x = a if: 1.a is in the domain of f (x) II. lim f(x) exists x→a…

A:

Q: X y f(x): || 1 2 968 1662 Use exponential regression to find an exponential function that best fits…

A: use the calculator to find the exponential regression in your calculator press STAT select edit by…

Q: Suppose that the length 7, width w, and perimeter P of a rectangle are differentiable functions of…

A: Topic = Derivative

Q: 6. D(x) = (x − 8)², S(x) = x²

A:

Q: 6) 18a3bc4 3,6 A 63 2 (3 2. 20303aaq bi ٢٢ وطاط محافظ کا 120303 ط bbs

A: Given; Sqrt(18a3b6c4)

Q: A particle moves along the x-axis so that at time t 0 its position is given by x(t) = t³ - 3t² 1.…

A:

Q: S√8x³ +36x² +54x+27 dx

A:

Q: What is the integrating factor of (1 + cos x) y' = sin x (sin x + sin xcosx sin x 0 1 + cos x CSC X…

A:

Q: 7 Newton's laws of cooling proposes that the rate of change of temperature is proportional to the…

A:

Q: Find the absolute maximum and absolute minimum of the function f(x) = = 3x² + 5x + 4 over the…

A: The objective of the question is determine the absolute maximum and minimum of the given function.

Q: Consider the initial-value problem  y' = y, y(0) = 3. (a) Use Euler's method with each of the…

A: Given : Consider the initial-value problem  y' = y, y(0) = 3.

Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,2) on the surface…

A: Let fx,y,z=2x2+3y2+z2-9 Gradient vector ∇fx,y,z=fxx,y,z,fyx,y,z,fzx,y,z

Q: Consider the region bounded by the curve y = 27x − x 4 and the x-axis.  Use Simpson’s Rule with six…

A: Here,             We have given a function now we have to find out the area bounded by the given…

Q: co|= 5 Thus fff(x, y)dA = [' [ А 0 drdo

A: To determine the double integral shown below.∬fx, y dA=∫0π3∫15? dr dθAlso, to evaluate the above…

Q: Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3.…

A: giveny=4x2-x3

Q: 2 x dx + y(x - 1)dy = 0, @x=2, y =1

A:

Q: 2. Find the general solution to the following DE, showing working dy dz = 3√ry.

A:

Q: A woman is on a lake in a rowboat located one mile from the closest point P of a straight shoreline.…

A:

Q: 6. Use Calculus techniques and a calculator to solve this problem. Include explanation of how you…

A:

Q: lim-→-1 O 0 0-2 0 - 12/1 x²+3-2 x+1 O None of the above =

A: To evaluate the following limit.limx→-1 x2+3-2x+1

Q: 4. Given f(x) = (x² – 2x − 1)²/³, determine the equation of the tangent line at x=2.

A: