Find for In (7y) = e sin (2x). dy dx dy =

Q: Find r, T, N, and B at the given value of t. Then find the equations for the osculating, normal, and…

A:

Q: The graph of y = f(x) is given below. Answer each of the questions below the graph. 10+ 9+ 8 7 6 +…

A:

Q: Consider the following function. Answer f(x) = x - Step 1 of 2: Find the slope and the y-intercept.…

A:

Q: If y = √√√2-3x², find encl sack the third derivative.

A:

Q: Answer the following True or False: If p(z) and g(z) are polynomials such that p(2) O True O False =…

A: Given: Now,                 limx→2p(x)q(x)As per the given information, p(2)/q(2) are not in…

Q: -5 -3 7 n 4 3 2 hje -1 -2 -3 -4 2 3 -5+ In the above graph of y = f(x), find the slope of the secant…

A:

Q: y = 3√x + 4x 2x2 -31 (1) - 1 (-2) - 4 2 х

A: Given query is to find the derivative.

Q: Suppose that your younger sister is applying for entrance to college and has taken the SAT. She…

A:

Q: Find the Taylor series generated by f at x = a. 5 f(x) = a=1 2 X Choose the correct answer for the…

A:

Q: Estimate the area between the x-axis and the graph of f(x) = 9-2² over the interval [-2, 1] by using…

A:

Q: Use the Squeeze Theorem to evaluate: lim 70 71³ sin Z +

A: The given limit is limx→07x5sin5x+3. We have to find the limit using squeeze theorem.

Q: answers, so please show all your work. You do not need to fully simplify your work. 1 y=r³ sin r 22

A:

Q: Minimize f(x,y)=x² + xy + y² subject to y=40 without using the method of Lagrange multipliers;…

A: The answer is in step 2.

Q: 2 For the functions w= -9x+8y.x= cost, and y= sint, express dw as a function of t, both by using the…

A:

Q: Find the solution to the Bernoulli equation. xdy = ( + 7 - x) dx ○ y³ = 1+ Cx-³ Oy³ = 1+ Cx³ ○…

A:

Q: b b [²xettdx = = 1²e+du O True O False

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 5m (7x² - 6x) lim X→0 х

A:

Q: 1. Consider the following, recursively defined function C(1) = 1 C (2) = 1 - C(n) = C(C(n − 1) + C(n…

A: We need to prove that C(n)=1 for all n.

Q: s dx = S-₁₂ ² =S= X 2 – ν -1-3v+v² dv

A:

Q: Find the volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and…

A: The volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and (5,7)…

Q: It did not accept 824.77 as the answer

A:

Q: Express the vector as a product of its length and direction. 6i + 12j+ 12k 1 2 2 OA. 18 +3+3k OB. 18…

A: Given query is to express the vector as product of length and direction.

Q: Suppose z = f(x, y), where f is differentiable, x = g(t), and y = h(t). If g(6) = -7, g'(6) = 6,…

A:

Q: 8. Give a closed form for the sum You may assume that Σk=1 k = n(n+1) 2 1x2+2x3+ ... k(k + 1) and…

A:

Q: f(x) x+5 x-7 The domain is a E for co) . (Enter the domain as an interval. Use U for union and oo

A: Given query is to find the domain of the function.

Q: Evaluate f 5x√3+25x² Show ALL work clearly. If using the table of integrals for this problem, be…

A: Concept: Integrating the components into the whole is the process of integration. In the integral…

Q: A line passes through the point (9,9, - 7), and is parallel to the vector 8i + 6j + 7k. Find the…

A:

Q: Question Find an approximation of the following S 1000 -Σ i=1

A: This is a problem related to series and sum calculation. Please follow the procedure given below.…

Q: 2. Prove that there is some positive number such that 07-20+ sin(0² + 1) = √5. Your proof mus quote…

A:

Q: Find the volume of the tetrahedron with the given vertices. (1, 0, 0), (0, 1, 0), (0, 0, 2), (1, 1,…

A: The vertices of the tetrahedron are 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2. We have to find the volume…

Q: 16y²+z² = 25 2

A:

Q: (b) Find the velocity function v(t) of the rocket. i. Sketch the graph of v(t) on a separate graph…

A:

Q: For the function f(x) = -2x² + 3x -9, evaluate and fully simplify each of the following. == f(x + h)…

A:

Q: Evaluacate using 827×516-4

A: log[a×b]=loga+logb

Q: Give a limit expression that describes the left end behavior of the function. 40x² + 4x² 2 17x⁰…

A:

Q: Convert the cartesian coordinates to polar coordinates with 0 0. (a) (-1, -7√³)=( 7 (b) (0, 7) = (…

A: a) The given cartesian co-ordinate is: -72, -732 Here x=-72, and y=-732  To cartesian co-ordinate to…

Q: Find the volume of the solid obtained by revolving the region in the first quadrant bounded by y =…

A:

Q: Find the velocity and acceleration vectors in terms of u, and up. r= a cos 30 and V= de dt v=4₁ + ¹₂…

A:

Q: Find the point on the graph of z P = -(3x² + 4y²) at which vector n= (30,-40, 1) is normal to the…

A:

Q: Find the length of the following two-dimensional curve. /₁² =(1/2. (2t+1)3/2 3 r(t): for Ost≤8

A:

Q: can you please solve ( i) ?

A: The given data is: To show that the given relationship is true: i) sin2x=121-cos2x

Q: x² - 4x-45 Let f(x) = X-9 Find a) lim f(x), b) lim f(x), and c) lim f(x). X→9 x→0 X→-5 a) Select the…

A:

Q: [4x 4xe³dx = + C

A: B=∫4xe3xdx∫xndx=xn+1n+1+c∫eaxdx=eaxa+c∫(a.b)dx=a∫bdx-∫(d dx(a)×∫bdx)dx

Q: Evaluate the indefinite integral sin² t cos³ tdt =

A:

Q: Evaluate the function for the following values of x. f(x) = 3x if 0 ≤x≤ 15 x + 15 if 15 30 Enter…

A: f(x)=3x,  if 0≤x≤15x+15, if 15<x≤300.5x+30 if x>30

Q: Find y' for y=8x7 + 4x¯¹. 1 y'=0

A:

Q: 3i+j Paralle pipe V 21-3j+2k W 41+ 3k COD volume of the parallelepiped is units cubed. plify your…

A: Given query is to find the volume of parllelopip.

Q: Why is a function called continuous even if it's discontinuous "not on its domain", shouldn't these…

A: Question: Why is a function called continuous even if it's discontinuous "not on its domain",…

Q: (2+1) 2x + 5 (2x + 5)(2x) - (x² − 1)2 (x²-1)² - X 4x² +10x-2x² +2 2 (x²-1)² Dx || 2x² + 10x + 2…

A:

Q: Question 9 Let The third component of v=3 and w w xv= [2] - 1 2

A: