Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 11, y = x+ (28/a); about a = -4. Volume =

Q: The graph of a function f is given below. According to the graph, f'(x) < 0 on (-1,0). y y = f(x) -2…

A:

Q: Consider the curve given by y2=2+xy d.) Let x and y be functions of time t that are related by the…

A:

Q: lim 1 n- 00 n V1+x on [0, 2] 2/1 + x on [0, 2] 2/1-x on [0, 2] 2/1 + x on [-2, 2] Y1+X on [-2, 21 키

A:

Q: dy 18. 0 do 2y = 0 sec 0 tan 0, 0 > 0, y(7/3) = 2

A: Given problem:- θ dy/dθ -2y=θ3 sec(θ) tan(θ) , θ&gt;0, y(π/3) =2

Q: Bacteria are reproducing in concentric rings in a petri dish. The circular area occupied by the…

A:

Q: Use sigma notation to write the following Riemann sum. Then, evaluate the Riemann sum using formulas…

A: Solve the following

Q: Question There are two lines through the point (−1, 3) that are tangent to the curve x^2 + 4y^2 − 4x…

A:

Q: 2 Find the slope of the function f(x) = x 3 at x = - 3. -27 27 81

A:

Q: 5. y = cot cot (sinx) 6. y = 5 sec sec (2x) + 20

A: We can solve question no 5 and 6 using chain rule as below.

Q: Differential Equation Classify the following differential equations.  - DEPENDENT VARIABLE -…

A: We have to classify the given differential equations.

Q: èrentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2).

A:

Q: ) (y nx) ny dx + dy

A:

Q: sin 4.r if r>0 3. Suppose f(r) = {0 if r = 0. Find f'(0) using the definition of derivatives. if r<0…

A: This question is related to derivative, we will solve it using given information.

Q: 10. Determine whether the given J, dx convergent or convergent? a. converges to ∞ b. diverges to 1…

A: integration

Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

A:

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 63°C, it…

A:

Q: 4. Find the derivatives of the following functions. Do not simplify your answer! d (a) sec r dr Vr…

A:

Q: Please do help me with this calculus questions. Please. I need the correct letter of the answer and…

A:

Q: For the following function, find its inverse. f(x)= In(8x – 9) O a. f'(x)= (e* - 8)/10 O b. f'(x)=…

A: Topic = Functions Correct option  = c

Q: 3. x = y? ,x = -2y² + 3

A:

Q: Find the first three terms of the expansion (4 – 2x). 4°(1- 폴 + 쫄 +…) O b. 2°(1 + 꼭 + 플 + …) Oc…

A:

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A:

Q: 21 Given the function F(x) = x3 + 2x – 1, find the value F(-2).

A:

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). sin(2u) cos(2u) tan(2u) II…

A:

Q: 32) sec 0 O in quadrant IV Find tan 0. 9. cos 0 <0 4 33) cot 0 Find csc 0.

A:

Q: Sketch the graph of f(x) = -3r³ – 4x² + 6x – 2 by following the steps in %3D sketching the graph of…

A:

Q: Determine the value of limx→∞ 7x²+5 x²+3x+7 Answer:

A:

Q: 4: A- Solve the differential equation subjected to the condition y0)=1 dx

A: Firstly separate the variables and integrate on both sides and solve the differential equation.…

Q: 6. If z2 = x2y2 (where x, y, and z are positive), and dz then what is when x = 2 and y = 3, given…

A: Given problem:- If z2 = x2 y2 (where x, y, and z are positive), and dz/dt then what is when x = 2…

Q: 3) Find the area of the region bounded by x2 = y and y = 1. a. 1/3 sq.units b. 2/3 sq.units c. 4/3…

A:

Q: Express the following vector in the form v = v,i+v2j+V3k. 3u - v if u = (4,6, – 8) and v = (2, –…

A: We can find the answer as below.

Q: e 3x (d) lim X→0 5x+200

A:

Q: How did he get the second derivative step by step and a clear line please 3 -X- Fex) = I+e sinu x…

A:

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

A:

Q: 13 Fimel thenadiuy.of.commergene afthe serves Σ 2m+2)(2mq4)

A:

Q: ( d ) Σ0, 3i (i2 + 2) i=1 3i(i² + 2)

A:

Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

A: To solve the following function properties

Q: Evaluate the definite integral. et dx J1 xyln x

A:

Q: 4. Evaluate the following integrals: (a) S (2x³ – x² + 3) dx - (b) S x*Vx5 – 1 dx S ds (c) S V2s+3

A:

Q: The function f : R → R defined by f(x) = cos(x – 5) is а. one-to-one but not onto. b. onto but not…

A: Let's find.

Q: 2x e d.x 4e2 – 8e" + 5

A:

Q: 3. Evaluate: lim X-0 \sinx 4. Using the binomial series, find the power series of f(x) =

A: We have to find the limit of a function and find the expansion of 1/x

Q: Find the equation of the tangent and the equation of the normal to the curve y = x + + at the point…

A:

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of ở V(I + x³ )dx. Give…

A:

Q: Write each of the other trigonometric functions of e in terms of cos(e). (Enter your answers as…

A:

Q: Eliminate the arbitrary constants on the given equation: y = Ae + Bxe" O y = y' – 2y O y' + 2y +y =…

A:

Q: . For what value(s) of c is f(x) = 54-x³, x < 3) %3D lcx² + 13, x 2 3) continuous everywhere?

A:

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A:

Q: solution

A:

Q: What will the domain be, could you state the domain?

A: