Find the second derivative of y= b. -x-32 a. -3/2 4/24 C. -5/2 C. thrown vertically upward. The

Q: Question Find the average value of f(x) over the interval [0, 2]. Submit an exact answer using…

A:

Q: Find the slope of the tangent line to the curve - x² – 3xy + 3y³ = at the point (1, − 3). - 91

A:

Q: Find the volume of the solid obtained by rotating about the x-axis the region bounded the curve and…

A:

Q: 33. Cost A manufacturer has an order for 1000 units of fine paper that can be produced at two…

A: Given data:- Order value of fine paper = 1000 units Produced at two location, x1 & x2 The cost…

Q: 11) Suppose that f is a solution of the differential equation y' + = 1 with f(1) = 1. Then f(2)= 3.…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Question 8x + 1 Find the domain and range of f(x) 8x - 8 Express your answer in interval notation…

A:

Q: Consider the region in the fourth quadrant between the circles x² + y² = 4 and x² + y² = 25 and…

A: answer is in next step. please give a like !!

Q: Consider the function f(x) = 2x² + 4x - 7. f(x) has a critical point at x = A. Find the value of A:…

A:

Q: (x² - 1)y" + (x + 1)y' - y = 0

A: We have to solve the given differential equation by power series .

Q: Using the following graph of the function f, evaluate the limits (a) through (i). 10 8 Ay 2- of X 10…

A:

Q: (1 + y²) dx + (x²y + y) dy = 0.

A: The differential equation is given by 1+y2dx+x2y+ydy = 0                               ........1 To…

Q: '() = xp (x-₂x) + xp (x + xx7)

A:

Q: 4. consider F(x, y) = (y² − 2xy) i + (2xy − x²) j. (a) Show that F is a conservative vector field in…

A:

Q: Consider the function f(x) = 2x³ 12x² 30x + 7 on the interval [-4, 7]. Find the average or mean…

A:

Q: If 6√√x + 15√y = 177, find y'(x) by implicit differentiation. y'(x) = Y I Find the exact value for…

A:

Q: Find the power series representation of the function f(x) = = x 2x² +1'

A:

Q: Evaluate the definite integral and choose the correct answer. dx 1+5x 0 1 O -In 11+ 5xl + C 5 1 1+5r…

A:

Q: Graph the function. What symmetries, if any, does the graph have? Specify the open intervals over…

A: Topic = Function

Q: A botanist is studying the development of a bamboo plant. She started keeping a log of its growth 25…

A: Total time= 25 weeks Given that the plant has grown an average of 35 inch each week.  So the plant…

Q: Use integration by parts to evaluate the definite integral fr² ln x dr

A: Topic- integration by parts

Q: lim-(In(5n³-n+1)-in(7n³n+1)) 3 3

A:

Q: Thirty percent of a radioactive substance disappears in 15 years. Find the half – life of the…

A:

Q: The height of a ball t seconds after it is thrown upward from a height of 5 feet and with an initial…

A:

Q: Find the vertices and foci of the hyperbola. 4x² - y² - 24x - 2y + 31 = 0 vertices smaller x-value…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A:

Q: Question 3 In changing variables to cylindrical coordinates, the dV in JO f(x, y, z) dV becomes p dz…

A:

Q: (a) Determine whether the series n=1 6n² +7 4n³ + 5n

A: As per the instruction, we will be answering the first question. For (a), Given: Now,…

Q: fin(1 + √x dx

A:

Q: Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2

A: Given limx→0e3x-3x-14x2

Q: Determine whether the differential equation (7x² − 2xy + 6) dx + (7y² - x² + 7) dy = 0 is exact. If…

A:

Q: Find the G.S. about xo = 0 for th 2 (1+x²)x" + 10xy' + 20v

A:

Q: Use integration to find the area of the rose curve r = cos 20.

A: Concept: Rose curve: A rose curve, commonly known as a multiform or Grandi's rose The rose's polar…

Q: 3. (6x + y²) dx + 2x - 3y) dy = 0. ANS. 3x + xy² ya:

A: Here we have to solve the differential equation.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 8x…

A: Given: y=8x arccos(x-1) and point (1,4π)

Q: x dy-y dx = x3 dx y" Answer: 4x + x4y + x¹y = Cy.

A:

Q: Write the integral in terms of u and du. Then evaluate. [x√97 (Use symbolic notation and fractions…

A:

Q: - Find the radius of convergence, R., for the power series (-1)n n²(x − 1)" 2n.n! OR=∞ OR=0 O R 8 -…

A: NOTE: Refresh your page if you can't see any equations. . here we have substitute n+1 for n

Q: Evaluate the integral and choose the correct answer. [x²³m.x x² In x dx

A:

Q: Differentiate y = (2x³ + 3x² - 1)5 30x(x + 1)(2x³ + 3x² - 1) O 5(6x² + 6x)+ 30x(x+1)(2x³ + 3x² - 1)4…

A:

Q: Find the constants a and b such that the function is continuous on the entire real line. 7₁ ax+b,…

A:

Q: ล. b. TM8 M8 n=1 n=1 (−1)n-1(x - 1)n n2n n! (x − 3)” 272

A:

Q: Question 3 A dilution tank initially contained 100L of fresh water. Then water which contained…

A: As per our guidelines answer first three subpart of a multipart question. So please resubmit the…

Q: 2π 12171710727 17/1xsin nx dx 2π I need to solve the integration in a table or zero method, a…

A:

Q: Determine if the expression is meaningful. If it is, state whether the expression represents a…

A:

Q: (c) Compute the principal unit normal vector N of r(t).

A: Given :  Unit tangent vector  T(t)=11+5t21,t,2t,    0≤t≤2 T(t)=11+5t2,t1+5t2,2t1+5t2,    0≤t≤2…

Q: Find the slope of the tangent line to the polar curve r = cos 20 at 0 T 3

A:

Q: 1 0.204 as follows: Let f(x) 1 x Use linear approximation, i.e. the tangent line, to approximate the…

A:

Q: da Find at z = 4 if y = 4z² - 1 and dt da dt 11 > Next Question dy dt = -5. 11

A:

Q: polar curves. 63. The complete circle r = a sin 0, where a > 0

A:

Q: a. b. n=1 8 n någn-1 (-5)n 1 nVn? +1

A: