Find the area bounded by the parabolas (x 1) 4ay and y2 + 4a = 4ax.

Q: Question 5 Evaluate the double integral over the given region. 8x sin xy dA, R:0 sx <T, 0 <y s1 7C 8...

A: Given that, The integral is following, ∫∫R8xsinxy dA R : 0≤x≤π, 0≤y≤1 We have to find the value of t...

Q: Make a switch to cylindrical coordinates to evaluate V² + ² dV , where E is the region inside the cy...

A:

Q: Consider the points A(1, –3, 4), B(2, –5, 2), C'(-1, –4, 2), and D(2,3, –5). (a) Find the volume of ...

A: Explained below

Q: 3. For every 100 ticket buyers at a concert, the band expects to sell 27 T-shirts. a. If they have s...

A:

Q: Use the formula for the binomial series: m(m–1) ,2 + (1 + x)" = 1+ mx + 2! m(m–1)..-(m-k+1), k! %3D ...

A:

Q: Remember: 1- Distribute 2- Combine like terms 3- Cancel with addition or subtraction 4- Cancel with ...

A:

Q: If 1200 cm² of material is used to make a closed cardboard box with a square base. Find the exact di...

A: This question can be solved using the concept of maxima and minima.

Q: (주) X X Evaluate: " sin' cos* () d 4

A:

Q: Find F' () if F(x) = 2 cos¯1 Vx.

A: To find out the F'(1/2) 

Q: Determine whether the series converges. k=1 The series

A: The given series,       ∑k=1∞k4e-k5

Q: 1+ 2t Find the laplace transform of (i).

A: To find the laplace transform of the folowing function.1+2tt

Q: g) The integral S tan(vx) dx x cos2 (Vx)

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

Q: az az Find and e = 5x 2² + sin(r + 2) – y?.

A: Find the partial derivative of z with respect to x and with respect to y respectively

Q: 6 The coefficient of sin( 2x) in the antiderivative of F(x) = cos is Blank 1 (use fraction form not ...

A: ∫cos6(x2)dxsubstitute u=x2→dudx=12→dx=2du=2∫cos6u du=2[cos5u.sinu6+56∫cos4u du]=2[cos5u.sinu6+56[cos...

Q: Find an equation in the form y = ax² + bx + c_whose graph has an x-intercept at x = -1 and a tangent...

A:

Q: Calculus: In a certain city, the probability density function for x minutes to be the length of a te...

A:

Q: Given that y, (x) = x-1 and y, (x) = x3/2 are solutions of the differential equation 2x2y" + xy'-3y ...

A:

Q: 1. lim(2x + 4) x-3

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 18j as ...

A:

Q: Rewrite the following integral using substitution: s8 (1+3x)?dx

A:

Q: Sketch the region enclosed by y=4x and y= 4x^2. Find the area of the region

A:

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 10x² an...

A:

Q: Use implicit differentiation to find dy/dx: 620+y + eª arcsin y = In(y³) +x – 3 cot(x³ + y

A: We will find the implicit differentiation. 

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: ( 2² – 2x + 1, æ < 2 13- a, a22 Evaluate the following limits for h(a) = and Justify your answer. ()...

A:

Q: Consider the function f(x)=12x^5 + 60x^4 − 100x^3 + 7. For this function there are four important in...

A: Given problem:- Consider the function f(x)=12x5 + 60x4 − 100x3 + 7. For this function there are four...

Q: Find the value of this Multiple Integral. ,(x² + 3xy²) dx dy

A: Here we have to evaluate I=∫02∫0yx2+3xy2dxdy

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

A:

Q: The given point P is loc the angle e, also sine, V3 1) P Quad: sin 0: cos e: tan 0:

A:

Q: For WHAT VALUES OF THE EXPONENT m is the function y = xm a solution of the differential equation: x?...

A:

Q: If f(x) 4 cot r + 10, then find the value of f'(-7) is O 4 50 4 50 10 50 V50 7,

A:

Q: 4. 2(x + 4) = - 4 5. -3( x + 4) = 15 6. 4(2х + 3) + х%3D69 7. 2x + 3x + 6 = 31

A:

Q: Use integration by parts to evaluate the integral:

A:

Q: 5. arcsin 1

A: Solution ) arcsin1 = sin-1(1) [ Sin (π/2) = 1 ] Sin-1(sin(π/2) ) =π /2 Or in radian = 1.5714

Q: Show your work to justify your answers. Write your solutions properly, neatly, and carefully. s) Fin...

A:

Q: A potato is launched vertically upward with an initial velocity of 101 ft/s from a potato gun at the...

A:

Q: Suppose that f(x, y) and the region D is given by {(r, y) | 1 < # < 2,1 < y < 4}. D Then the double ...

A: ∫∫D f(x,y) dx dy = ∫y1y2∫x1x2 f(x,y) dx dy

Q: 1. Below is the graph of f (x) = |x|. Using the left side of the function with the equation y =- x, ...

A:

Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

A:

Q: Which integral would represent the area shown below? The function is f(x) = 2x + 2. 8 6 4- 2- 0.5 1 ...

A:

Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

A:

Q: The integral of t²In t with respect to t is; 13 A -(3ln t – 1) + C B none of the given choices -(31n...

A: Follow next step

Q: Week 8 Online Homework Introdu Score: 26.67/31 28/31 answered Question 9 Let g(x) = log,(x). Find g...

A:

Q: Find the compos Ite functions (f g) and (gn. What is the domain of each composite function? (Simplif...

A: We can answer all parts as below.

Q: Find the volume of the solid generated bounded by x = Vy-2, x = y? - 4y + 4, rotated about the x- ax...

A:

Q: .3 9. dx dy y2

A: Find the double integration. 

Q: Using calculus, find three positive numbers whose sum is 12 and the sum of the squares is as small a...

A:

Q: At which point/s (value/s of x) is the function continuous but not differentiable? -4 2 4 6 8 10 42 ...

A: Differentiable

Q: Find the volume generated by revolving the area bounded by y² – 4y – 4x + 4 = 0 and x 1 %3| about th...

A:

Q: Jeremy purchases a boat for the price of $31 950. The boat depreciates in value by 19% per year. The...

A: Here we will find the asked quantities,