35. Evaluate |Jxe' dA; where R is the region bounded by y =x, y=0, and x= 1. A) 0.2 C) 0.4 B) 0.5 D) 0.3

Q: Calculate the second and third derivatives of y(r) = ar6. (Use symbolic notation and fractions where…

A:

Q: Let R be the quarter-circle region in Quadrant 1 bounded by the x-axis, the y-axis, and the circle…

A: See the answer below

Q: 1. Find the derivative of the following: (Simplify your final answers.) f. Q(x) = Jx + Vx + :+ ...

A:

Q: Selors use the fullowing quadrate function to estimate wave height h, in feet, from wind speed w, in…

A: The height h, in feet of the wave h=0.02w2, wind speed w, in miles per hour.

Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 13 r(t) = t'i+5j 390 t14 K(t) = %| (4…

A:

Q: 3x2 + 4x + 1 dx 2. 2x2

A:

Q: Let f be a function defined by f(x) = In(2x? + 1) and let g be a function defined by g(x) = 2x4 -…

A:

Q: 4x3 - 6 Find the differential dy of the function y = %3D 4 2x Provide your answer below: dy = dx *…

A:

Q: 3. Find the second-order partial derivative fry (x, y) for the function, f(x,y) = 4x3 – 5x²y – 3y +9…

A: f(x,y)=4x3-5x2y-3y+9Differentiate partially w.r.t xfx(x,y)=12x2-10xy

Q: Scot(x)dx

A:

Q: 24. Given z = 6x°y-e", calculate or z. A) 12y–x'e" B) 12y-ye" C) 12y-e" ху D) 12x - хуе"

A:

Q: Calculate y" and y". 4x – 7 y(x) (Use symbolic notation and fractions where needed.) y"(x) = y" (x)…

A:

Q: Which one of the following accurately describes the set {(p, 0, $)|¢ = 5 } in spherical coordinates?…

A:

Q: Use the fourth Maclaurin polynomial for f(x) = e" to estimate e0.5. Round your answer to four…

A: The Maclaurin series of ex is: ex=1+x+x22!+x33!+x44!+...

Q: x cos y + sin 2y = xy

A:

Q: B a A b Note: Triangle may not be drawn to scale. Suppose c = 5 and A = 70 degrees. Find: a = b = В…

A: Solving the problem by finding the missing values of the triangle.

Q: Diem 3. Sketch the region enclosed by the curves y = 2x, y = 2x², and find the area of that region.…

A:

Q: Suppose that csc(t) = and that tis in quadrant IV. Find the exact value of cos(t). -3/2 V5 V5 3 -2/3…

A:

Q: Evaluate the triple integral. Then, on your paper, sketch the solid whose volume is expressed by…

A: We can solve as follows

Q: Find the equilibrium point for a product D(a) 0.006x and S(r) 0.003x² Round only final answers =D36…

A: To find the equilibrium point we have to put  D(x)= S(x) and solve for x .

Q: Question 4 Solve the initial value problem: y' = – 0.03y + 6 y(0) = 50 - y(t) =

A:

Q: height. What is the largest volume bag of this shape that you can carry on a flight? (Round your…

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given region is bounded by y=21-2x and y=20

Q: 1. Suppose a body has a force of 3 pounds acting on it from the west, 4 pounds acting on it from the…

A: Using vector addition  we determine the force

Q: v(t) = 1.1t2 - 2.6t + 2.3 million hours of video per year (0 sts 9), time in years since the start…

A: Topic:- application of calculus

Q: Let y = f(x) be the function. Use the definition of the logarithm to obtain the inverse functions x…

A: Solving

Q: O In 17 lo 6

A:

Q: The area of the triangle with vertices at P = (1, 0, -2), Q = (2, 3, 1) and R = (2,1,0) is O a) V14…

A:

Q: Which of the following are vertical asymptotes of the function f (x) 5æ(x+2) a(x² –4)(2a+1)(x+3) ?…

A: See below the answer and explanation As per bertleby guidelines I have to solve only first question.…

Q: The graph of e(t) -(2 sedt), 6 tant)) for 0st< can aino be described in the form y/(x). This problem…

A: We use the formula. Sec2t-tan2t=1

Q: Consider the following function. X - 4 f(x) = x2 + 20 Find f'(x). f'(x) = Find all singular points…

A:

Q: In a circle of radius 38, find the length of the arc spanned by a central angle 4 radians. Round…

A: Given the query is to find the arc length.

Q: The most appropriate substitution to simplify this integral is u = Σ Then du = M dx (fill in the…

A: Given the query is eveluate the integral.

Q: az 9- z2 – 2xz 16 find | ax ду at the point (1,1) 10- x+ 2xy – y² = 2 find ax 11- Find The slope of…

A: 9)z2-2xz=16differentiating w.r.t. x;2z ∂z∂x-2z(1)-2x ∂z∂x=0(z-x)∂z∂x=z∂z∂x=zz-x

Q: (cos 2x) f (x) = e

A:

Q: Find the time required for an investment of $2500 to grow to $5500 at an interest rate of 5.4% per…

A:

Q: 1. The number of movies released each year in the United States can be estimated by the linear…

A: To solve the following problem

Q: The limit represents a derivative f'(a). Determine f(x) and a. 8h lim h - 1 h→0 (Express numbers in…

A:

Q: 1. Determine the type and stability of the critical points of the homogeneous systems: dx (a) = x –…

A: we have to check stability of critical points

Q: dy = -xy %3D dx

A:

Q: Question Find dy and evaluate when x = 3 and dx = –0.2 for the function y -2x2 + x - 4. Provide your…

A: We have to find the value of dy.

Q: Three vectors are given by: J = 2î – k K = 2î – ĵ+ 2k L= 2î – 3} Determine: (i) K•L x J; and (ii)…

A:

Q: dc The marginal cost of printing a poster when x posters have been printed is 1 dollars. Find c(9) –…

A:

Q: Show that the limit does not exist. xy? - 1 lim (Ky)→(1,1) y-1

A:

Q: Find the derivativo of the following . Simplify the answer t #o (Rationalize the denonina tor in…

A: derivative

Q: An iron block weighs 5.2 N and has a volume of 272 cm³. What is the density of the block in kilogra…

A:

Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x=47. Round…

A:

Q: 4. Find the arc length of r = cos? (0/2), 0 s 0 s 2n.

A:

Q: Find the function F that satisfies the following differential equations and initial conditions.…

A: F'''(x)=12xIntegrating both sides,⇒F''(x)=6x2+c1Integrating both…

Q: Si s(2x)dx = 23. If f is a continuous fiunction and if F'(x) = ƒ(x) for all real numbers x, then (A)…

A: