Find the area of M. == Let M be the region bounded by the parabola y (0,2) (-2,0) 4 0 L N ရာ T c y=-x-2 ²+28 +2 and the line y = -x - 2. (4,-6)

Q: Q) find differential equation of the following equation (1 + x²) dy + (y - tan-¹(x))dx = 0

A: On solving this we will get

Q: The graph shows the parabola c(z) = 7-², together with a shaded region. 94 -2 -1 3 + -2 Set up the…

A: The given equation of the parabola is: cx=7-x2 Now find the x-intercept of the given parabola.…

Q: Evaluate the integral. (Use C for the constant of integration.) [(sec²(t) i + t(t² + 1)² ₁ + t²…

A:

Q: y = e²x and x - 2y + 5 = 0

A: x-2y+5=02y=x+5y=x+52The equations are: y=x+52y=e2x

Q: Question 16 Find e > 0 such that the area of the region enclosed by the parabolas y = 2²-² and…

A: Given problem:- Find c> 0 such that the area of the region enclosed by the parabolas y = c2 -x2…

Q: Assume that sin(x) equals its Maclaurin series for all x. Use the Maclaurin series for sin (7x²2) to…

A: Maclaurin series of sin(x) :              sin(x) = x-x33!+x55!-x77!+...

Q: Let f(x) be a function given by f(x) = (a) Prove whether f(x) is a Dirichlet function. (b) Find the…

A: Given

Q: Solve the following first order differential equations, clearly showing all calculation steps dy…

A: Given that differential equations and we find the solution of this differential equations by using…

Q: Calculate

A: Please refer to the image below

Q: y = lnx and x-y-4 = 0

A:

Q: V = πT -0.5x Sin 4x 4 +8x-cos2x 2 - X²-4 2²- 19.5x 1.478 -1-082

A: To determine the limit of the following equation.V=π-0.5×sin 4x4+8×-cos…

Q: 5. The Fourier transform of signal e²²¹ u(t-3) is . e-3(2-jw) a) 2-jw b) e-3(2+jw) 2+ jw c) e3(2-jw)…

A: NOTE: As per our guidelines, I have solved one question. If you want the answers of rest, kindly…

Q: 2. Evaluate x sin ædr using integration by parts.

A: Given: I=∫xsinxdx   We know the basic integration formula. ∫sinxdx=-cosx+C∫cosxdx=sinx+C

Q: A. By power series, prove that: d 4 sinhx dx sinhx = coshx

A:

Q: 2) Find AB and BA if : A = [1 2 3], 405 B = 0 -6 -7 8 9 10 -11 6] 7 -8.

A: For matrix multiplication , the number of columns in the first matrix must be equal to the number of…

Q: 3. Evaluate sin rdx

A: The given integral is: I=∫sin5xdx   As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Complete the table after finding a simplified form of the difference quotient. 5) For the function…

A: f'(x) ={ f(x+h)-f(x)}/h

Q: [1 1) If A = 3 15 2] 4 6] B = [-3 -21 -5 314 4 253 3. [P 91 Find: D = r s tu

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the transition points. f(x) = x(11-x)1/3 (Use symbolic notation and fractions where needed.…

A:

Q: d. State the equation of the vertical asymptote of f(x)=log, (x+1). e. Sketch a graph of f(x) = log,…

A: We have to find the asymptote of function and graph

Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

Q: c) A loan of $A is made on 20 April 2015 at a simple interest rate of 6% per annum. The accumulated…

A: Please refer to the image below

Q: Express the function n, lim n→+∞ 4k² in closed for and then find the limit. n³

A: We will first write this function in closed form then we will calculate the limit of the function.

Q: hav is that not the function defined by ху f(x, y) √x² + y² if differentiable at (x, y) + (0;0) if…

A: We have to show that f(x,y) is not differentiable at (0,0)

Q: 21. Jo 0 dx (x + 1)(x² + 1)

A:

Q: π I Find the volume of the region bounded above by the surface z = 7 sin x cos y and below by the…

A:

Q: Determine the equation of the ellipse with foci (-8, 14) and (-8, -16), and co- vertices (0, -1) and…

A:

Q: 1. If f(x) = cos²x, then the derivative, f'(x) = ? a) 2sinx b) −2 sin x cosx c) 2cosx d) 2 cosx =…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: The extreme value asian food truck sels 800 BBq buns per week at aprice of$1.50 each.For every $0.10…

A: Explained below

Q: A(3) = A(8) =

A:

Q: Help please

A:

Q: Ship A leaves port sailing west at a speed of 30 mph. Six hours later, Ship B leaves the same port…

A: Given dxdt=30dydt=35

Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

A: There are three methods to find the volume of a solid generated by revolving a curve f(x) about a…

Q: Evaluate the following limits: 1-cos¹(x) (i) lim zsin(2x) (ii) lim In (√) +1 2²-1 (iii) lim sin(x) -…

A: Given :limx→01-cos4(x)sin(2x)lim x→1 lnxx2-1lim x→π4 sinx-22cosx-22lim x→01+tan(2x)1x

Q: y = x² and x² = y

A:

Q: Consider the series an +∞ n=1 and Et bn where cos(+) an = and bn = n3 n3 Since an 2 b₁ and 1 b₁…

A:

Q: Q3. Evaluate the following integrals 1) cothx.csch²x. dx (50-3x - W√x++) de

A:

Q: 3.) Find the directional derivate of f(x, y) = tan¹ (3xy) at the point (1,2) in the direction of…

A: We have to find  directional derivative

Q: Examples: 1. Use the graph of f(x) to state the following: a) absolute maximum and absolute minimum…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Find the average value of: f(x) = 9 sin x + 8 cos a on the interval [0, 8π/6] Average value=

A: The average value of fx=9sinx+8cosx on the interval 0,8π6

Q: Given the graph which consists of lines and a semicircle determine ₂ f(x) dx (4,2) 2 3 4 5 -1 -1…

A:

Q: The integral gives the area of the region in the xy-plane. Sketch the region, label each bounding…

A:

Q: (a) Assume that g(x, y) is a function of the form g(x, y) 0 if (x, y) = (0,0). (i) Show that g(x,…

A:

Q: What is an equation for the cosine graph shown below? -135 -90 -45 -11 -10 +9 8/ -7 -6 -5 3 2 1 45…

A: Given query is to find the cosine equation of the function.

Q: Evaluate the following integrals: dx dx ·S b. S √81+16x² √16x²-9 a. dx 49-4x² c. S.

A:

Q: min

A: Please refer to the image below

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

A:

Q: 6) Find dy , where is defined as a function of implicitly by the equation below. dx y + 2x²y³ = 1

A: Given function, y3+2x2y5=1

Q: arbor during a certain 24-hr period is approximated by the function 2]. + 7.9 (0 ≤ t ≤ 24) esponds…

A: The rare of change of a function f(x) at x=c is f'(c)

Q: 4. Find the volume of the solid generated by revolving about the line y=-3 the region bounded by the…

A: Using disc method, volume is evaluated.