Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm thick to a hemispherical dome with diameter 44 m. (Round your answer to two decimal places.)

Q: Find the area bounded by r = cos 0 for -π/2 ≤ 0≤π/2. 2. Find the length of the r(t)= , 1 ≤t≤ 5 .…

A: We have to solve Questions 12.

Q: Question 4 In sketching y In (x-2)² e22 no horizontal asymptote None of the choices O y = 0 and y =…

A:

Q: If y = sin-¹ find Zxy-

A:

Q: ( (tano-1)² do

A: Given ∫[tanθ-1]2 dθTo evaluate the integral:

Q: храхашд-Х,50025

A:

Q: Consider the graph of y = f(x) shown below in blue. Find the open interval(s) where f'(x) is…

A:

Q: Find an equation of the tangent line to the graph of y = x³ - 3x - 1 at the point (2, 1).

A:

Q: Sketch left-endpoint and right-endpoint approximations for f(x) = on [1,2]; Approximate the area…

A: fx=1x on 1,2, n=4

Q: Solve the following linear programming problem.   ​Maximize: z= 39x+10y subject​ to: 8x+6y ≤48…

A: Given that, Maximize: z= 39x+10y subject​ to: 8x+6y ≤48   13x+y ≤48…

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y³z² - 4 At point (1,-1,2).

A: Given function f(x,y,z)=x2y2z2-4

Q: Show if the sequence converges or diverges using  L'Hôpital's rule…

A: A sequence is said to be converge if its limit  exists, otherwise diverges.L'Hospital rule:- If…

Q: uge to answer two questions. FRONT PAGE Pricing Disney+ Disney decided it wanted to provide…

A:

Q: The first thing “e” wanted to do is to “Calculuize” his favourite game, apples to apples. So, one…

A: A box for the apples to apples game such that its width is exactly three times its length and its…

Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

Q: Question 4. Determine if the series Σ n=1 5n+1 7-2 converges or diverges. If the series converges,…

A: We have to find the given series is convergent or divergent  , if the series is convergent give its…

Q: Q4A) Find area bounded by y = 0, y = √x-x² using double integration.

A:

Q: sec² x 0 1+tanx If sh -TT/2 -TT/4 TT/3 TT/6 O dx In 2, then what is the value of k? =

A:

Q: Determine the longest interval in which the given initial value problem is certain to have a unique…

A:

Q: A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of 45° with respect…

A:

Q: hid. The line y d. The line y = -5/8 -5/8 redbuthents 2 y 0 X = ochiul 14 4 X = - y² 2 1 y² dibel 2…

A:

Q: Prove the identity. cos(x - 1) - sin(x + 1) = = 0 Use the Addition and Subtraction Formulas, and…

A:

Q: Please determine if the sequence converges or diverges. \left(\frac{n!+6}{n!-2}\right)

A:

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: To find the distance between the two cars.

Q: Q1A)The vectors A = 3i+j+ 4k, B= 2i-3j-k, find vector normal to A and In plane of A and, B.…

A: Let's call the vector to be found is C. C vector will be normal to both vector and A and B. we can…

Q: 1fd³y ydx 'y da (21)

A:

Q: Find the orthogonal projection of b = [4 2 -4] onto the column space of the matrix A. (Enter each…

A:

Q: o what does it con s conditionally conv 1. onvergence for at is the radius of approximation of e √2,

A:

Q: +√³1 (2) dx = -3 and ³ S If it is known that [²₁ √f (a) da = 4, find the value of f(x) dx.

A: To find out the integral value.

Q: Evaluate x+1 S ex x² dx O e.e= + C O-e e + C O e e + C e = + C O

A:

Q: 2 2. √(√x-3) dx

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

Q: Find the value of E, the margin of error, for c = 0.99, n = 15 and s=5.4. OA. 1.072 OB. 3.659 O C.…

A:

Q: Fill in the blanks: x² + The equation describes an ellipse. The volume of the solid obtained by…

A:

Q: -2 -6- X G

A:

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.3) 5 4 3 2 1 + -6 -5…

A: We have to write an equation of given graph.

Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

A:

Q: Use the Inverse Function Theorem to find (p-¹) (2) given that p(x) = √√x - 7. Note that p(−11) = 2.…

A: The solution is given below

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: Find the largest product the positive numbers x, y, and z can have if x² + y + z = 4. The product is…

A:

Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

A:

Q: Sketch the graph of f and use your sketch to find the absolute and lo f(x) = sin(x), 2 absolute…

A:

Q: (a) Assume that f(x, y, z) and F(x, y, z) are arbitrary differentiable functions such that f(x, y,…

A: Given

Q: Evaluate: f(cos 5x - 2 sin 3x) dx O sin 5x - cos 3x + C Osin 5x - cos 3x + C O sin 5x+cos 3x + C…

A:

Q: B)Evaluate the integrals: i) f/2rdrde. ii)/2/2 x 2² siny dz dy dx.

A:

Q: let a a E R - {0} and g the function defined by : sen (2) si z #0 az g(x) = 5 si z = 0 The function…

A: In this question, we want to know for what value of a , the given function g will be continuous on…

Q: Past records from a factory producing electronic components show that on average, new employees can…

A: Past records from a factory producing electronic components show that on average, new employees can…

Q: ƒ(s) = 4s - 18 9-s² What function f(t) has Laplace transform: 5s (s - 2)² +

A:

Q: Assume that f is continuous on the set of real numbers. Find a and b given that b 3 [ f(x) dx - f₁…

A:

Q: If f: R → R is a function such that f'(4) = f'(8) = 0 and f"(x) = 18x - 108 so, f(m) is a local…

A:

Q: Find area bounded by y = 0, y = √x - x² using double integration.

A: Graph: Now, we need to find the area of the above figure.

Q: 6. Find the radius of convergence and the interval of convergence for E-0¹ (x-2)".

A: 6. The given power series     ∑n=0∞12nx-2n