dr 5. 2 ?+3 2

Q: 7 Evaluate the sum i(3i + 2) i=1

A:

Q: Find the angle between the given vectors to the nearest tenth of a degree. = (8, 6) u = (7, 8), v =…

A: Topic:- vector algebra

Q: (2+금) 3 29 7. Suppose that lim In Fill in the boxes for the corresponding equation -- - - '(2+금)% n…

A:

Q: 12 and sin 0 < 0, find (Please show the solution.) 5 If tan 0 = %3D - (a) sin 20 (b) cos 20 (c) tan…

A:

Q: Find the equation of the plane perpendicular to the line x 2t, y = 6 - t, z = 4+t and containing the…

A:

Q: dr 10. dr 11. (x – 1)2 12. sec 20 tan 20 de

A:

Q: Find the indicated limit or state that it does not exist. x2y + xy2 lim (x, y)-(0, 0) x2 + y2 O 2 O…

A:

Q: 13) which of the following Series convenge' 7n Ci) In hzg

A: i)∑n=1∞ 17nThe series diverges by p-series test.(∑n=1∞ 1np converges only when p&gt;1)=17∑n=1∞…

Q: Differentiate. 9. y e 10. y- e

A:

Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. S sin“…

A: To evaluate : ∫sin4⁡3xcos⁡3xdx Let I = ∫sin4⁡3xcos⁡3xdx Let sin3x = u Differentiating both sides we…

Q: 4) Compare your answers

A: answer is in next step

Q: ​(A) Find the average value of the function over the indicated interval.   ​(B) Graph the function…

A:

Q: Calculate s f(x, y, z) dS for the given surface and function. D(r, 0) = (r cos(0), r sin(0), 0), 0<r…

A:

Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B 26°. (The figure is not…

A:

Q: Question 15 The price per barrel of crude oil can be approximated by the function, P(t) = 0.45t? -…

A: We have to find the average rate of change of function.

Q: 3. lim (cscx –- cotx) x0+

A:

Q: Question 27 The position vector of a particle is r(t). Find the requested vector. The velocity at t…

A:

Q: 4x | 13- dx 3-4x -4x2

A: ∫4x−4x2−4x+3dx=4∫x−4x2−4x+3dx Rewrite x as x=x+12−12 and split the expression:…

Q: 7. Give one example a that makes log, (x) rational but not an integer

A:

Q: Find the distance from the point to the plane. (5,7,6), 10y +z= 0 The distance is

A: We can find the distance as below.

Q: C. coordinate

A: answer is in next step

Q: 9. 5+ 8 7- 6- 3 5 4 2 g(x) 2 h(x) 1 1 1 2 3 x-values 4 5 1 2 3 x-values 4 If f(x) = g(h(x)), then…

A: Explanation of the answer is as follows

Q: cos(x)In(1 + x²) + æ4.8 dx. Evaluate 1+ el.69z – 42.8 answer =

A:

Q: -dx 23+1

A: Given :

Q: 5. Determine the following limits. If infinite, specify ∞ or -o. If an answer does not exist,…

A:

Q: The values y (in billions of dollars) of U.S. currency in circulation in the years 2000 through 2007…

A:

Q: Solve the problem. A conitant force F 10+ 30J. moves an object from the point P= (6, 4) to the point…

A: Given  F=16i+30j             P=(6,4) &amp; Q=(3,18) To find work-done:

Q: 5. lim X-0 e2x-1

A:

Q: 1. Given ā - 31-9j and 5--6i+j compute each of the following. (a) 105 (b) 14ã +205 (c)

A: We have to find solutions

Q: Find the vector projy u. u = 3 i - j+ 3 k, V = 2 i+ j+ 2 k

A: We want to have projection vector. Projection of vector u on v is given by u.vvv⏞

Q: Qg Solve: coshx-1 .dx

A: Basic hyperbolic identities are used along with integration identities.

Q: If g(x) is differentiable at the point x and f(x) is differentiable at the point g(x), then f{g(x)}…

A: If g(x) is differentiable at the point x and f(x) is differentiable at the point g(x), then f{g(x)}…

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: Here,  0≤x≤4-yy≤z≤8-y0≤y≤4 To change the order of integration to dx dz dy to dz dy dx

Q: The average speed f(t) (measured in kph) of traffic in a certain municipality between 4 PM to 8 PM…

A: The critical point of a function: A critical point on the graph of a function y = f(t) is a point t,…

Q: Quèstion 1 The position vector of a particle is r(t). Find the requested vector. The acceleration at…

A:

Q: Suppose that a, b, and c are unknown constants such that f(x) = x² + ax +b and g(x) = e3z-3) +c are…

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Q: Ise Newton's method with the specified initial approximation x, to find x, the third approximation…

A: Solve the following

Q: Solve the higher order initial-value problem f''(x) = x-1/x + 3 ; f'(1) = 3, f(1) = 0

A:

Q: Evaluate the double integral.

A: Given

Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

A: Let, First number = x &amp; 2nd number = y therefore, x+y=25   &amp; x-y= 7

Q: Use double integration to find the volume of the solid bounded by the cylinder x² + y? = 16 and the…

A:

Q: 5. Evaluate r'sin(y³) dy dx

A:

Q: For what values of S is the solution space of the system given below the origin only, a line through…

A: In the given question we have to find the values of s for which the solution space passes from the…

Q: 5 3. (1 – x²)ždx

A: To evaluate: I=∫01(1-x2)52dx

Q: Find the limit of s(n) asn → ∞. 64 ( n(n + 1)(2n + 1) n3 s(n) 6

A:

Q: 1. The sum of the digits of a two digit number is 15. One-third of the number diminished by 12 is…

A:

Q: Evaluate the surface integral. /| xz ds, S is the part of the plane 2x + 2y + z= 4 that lies in the…

A: We need to find surface integral.

Q: Evaluate the indefinite integral. (Use C for the constant of i | sec?(e) tan°(e) de

A: Topic:- integration

Q: 4. If the larger of two numbers is subtracted from six times the smaller, the result is 20. If twice…

A: The detailed solution is given below Thank you

Q: Solve the following differential equations of yy' + y' = x;

A: