= √² (1³ + 3t² + 7) dt √ If f(x) = then f''(x) = Question Help: Video Message instructor

Q: Find the area of the surface generated when the curve: b) x=2sqrt(4-y), 0=<y=<15/4 is rotated about…

A:

Q: it

A:

Q: = = √²* (t²³ + 5t² + 4) dt 0 If f(x)= then f''(x) =

A:

Q: Price-Supply Equation The number of bicycle. helmets a retail chain is willing to sell per week at a…

A: We will find the required.

Q: dx So 5x + 1 5x+1

A: ∫0315x+1dxLet u=5x+1.=∫11615udu=15·∫1161udu=15lnu116=15· 4ln2=45ln2

Q: Limit calculations. For each real limit, explain whether it is convergent, divergent to -+∞, or…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1 /₁+422da dx 1+ 4x2 15. Evaluate (a) tan-¹(x) + C (d) tan-¹(2x) + C -1 (g) tan-¹(x) + C (j) None of…

A:

Q: Find the absolute maximum and minimum values of the following function on the given interval. If…

A:

Q: Evaluate •W₂** e² dV where E is enclosed by the paraboloid z = 5 + x² + y², the cylinder x² + y² =…

A:

Q: Use the fact that (a) (1 − x)2 = Σ 00 Σ (3) n = 1 Σ nxn−1 to find the sum of each series. n = 1 ( Σ…

A:

Q: Write the arithmetic sequence −7,−13,−19,−25,... in the standard form:

A:

Q: A car rental agency rents 210 cars per day at a rate of ​$40 per day. For each ​$1 increase in​…

A:

Q: If the work required to stretch a spring 1 ft beyond its natural length is 12 ft-lb, how much work…

A:

Q: Find the volume of the solid bounded below by the circular paraboloid z = 2² + y² and above by the…

A: We can find the volume .

Q: Find the area of the shaded region. f(x)=x²-8x³ +21x², g(x)= -14x+136 (-2,16

A: Here we have to find the area of the shaded region,  f(x)=x4-8x3+21x2, g(x)=-14x+136

Q: A bucket of water of mass 20 kg is pulled at constant velocity up to a platform 35 meters above the…

A:

Q: 2. Determine the moment of inertia of the region bounded by the lines 3x-y=0, x-7=0, and the x-axis…

A:

Q: Suppose you know lim an 11-> 00 0100 What do you know about the convergence or divergence of the…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

A:

Q: youu need the find the chart first bu do not include the chart in answer please.

A: To find the inflection points

Q: Consider the function f(x) = xe-4, 0≤x≤ 2. This function has an absolute minimum value equal to:…

A: Given a function f(x)

Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

A: Given: y2=4x+2y

Q: -) Show steps and find [(2x+1)' In(2x+1) dx.

A: According to guidelines we can solve only one question at a time if multiple questions are posted.…

Q: (2) Σ n=1 (b) Σ n=0 (0) Σ n=1 (3x - 2)² η 3ηχη n! 3.5.7....(2n+1)+1 η2 . 2η

A: Find the radius of convergence and interval of convergence of the series.

Q: Identify u and dv for finding the integral using integration by parts. (Do not evaluate the…

A:

Q: 1 √√x²z+2y g(x, y, z)=- +yln x ; find g (1,0,1). zyx

A:

Q: For g(x) = X x + 3 state all intervals for which is concave up, concave down g

A: Given, gx=xx+3

Q: Question 5.3: Calculate 2x sin ²0 5+4 cos 0 dᎾ .

A:

Q: lim (x,y) →(0,0) 5x4 y x² + y²

A: According to question,Given Limit,limx,y→0,05x94yx3 + y4

Q: (a) √ 2³. √√x² +1 >) [sec² (b) dx sec³ x tan x dx

A:

Q: given that the graph of f(x) passes through the point (3,5) and that the slope of the tangent line…

A: The slope of the tangent line to the graph of y =f(x) at (a , b) is f '(a)

Q: 0.7 Suppose the average daily metabolic rate for certain types of animals can be expressed as a…

A: Given r=143.2m0.7

Q: Find the limit. Use l'Hospital's Rule where appropriate. If l'Hospital's Rule does not apply,…

A: Rule

Q: lim (x,y)+(5,10) ‚ ( ²½ + ² ) ² = lim (x,y)+(3,4) \ X

A:

Q: 14) The half-life of carbon-324 is 700 years. I have 400 grams of carbon-324 right now. How much…

A:

Q: Find the absolute and local maximum and minimum 1 X 0 < x < 2 2x 4 2 ≤ x ≤ 3 values of f(x) = {2 If…

A:

Q: A grain storage building is a hemispherical shell with a radius of 30 meters. a) What is the volume…

A: NOTE: Refresh your page if you can't see any equations. . the volume of the hemisphere is given by…

Q: Suppose f(x) is continuous on [2,8] and -3 ≤ f'(x) ≤ 4 for all x in (2,8). Use the Mean Value…

A:

Q: the open intervals on which the graph of the function is concave upward or concave downward. Assume…

A: Given query is to find the interval where graph is concave up and down.

Q: Question 1: Use the method of Lagrange multipliers to find the maximum and minimum values of the…

A:

Q: 1. If the series an is convergent and an > 0 for all n, then we also know that n=1 (a) Must be…

A: The answer is given below:

Q: 2. Select Show additional function. Graph y = 5(1 + 0.20)' along with y = 5(1-0.20). A. What do the…

A: Graph of y=5(1+0.20)t

Q: b) y = cos(5x) ln(x² + 1).

A:

Q: Find the equation of the plane  containing points P1: (1,1,1),  P2: (1,2,3) , and  P3:  (3,-1,5).

A:

Q: Find the values of b and c so that has vertex (-1,2). y = 3x²+bx+c

A:

Q: Find the center, foci, vertices, and eccentricity of the hyperbola, and sketch its graph using…

A:

Q: Consider the function f(x) Let F(x) be the antiderivative Then F(x) 6 x² of f(x) with F(1) = 0. ||||…

A: Solve the following

Q: 1/00 (e) 6.³ cos x sin(sin x) dx (f) [²(cos sin ) dr. COS dx 3

A:

Q: - r(t) = (81²)i + (5t − 2) ƒ + (81³) k at - at t = 7.

A: Please see the below picture for detailed solution.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of I f(x) = [*²₂ √t²³ +4³dt…

A: