6 arcsin(sin 40 ) = _____. -40° -220° 40° 220°

Q: -8e4t* + 2e6t cos 2t

A:

Q: sin 2x dx Evaluate the definite integral: COS X

A:

Q: If possible, give an example of 2 convergent sequences an and bn such that E(an + bn) diverges.

A:

Q: 2. Find the center of mass of the four particles having masses 2, 3, 3, and 4 kg and located at the…

A:

Q: Consider the expression (3x² + 2/x)10 a) Find a simplified formula for the general term. (separate…

A:

Q: 2. The growth rate (in inches per year) of the diameter at breast height of a certain tree is given…

A:

Q: (x² + y² ) dx – xydy = 0 O 2y = x In cx² O y? = x² In cx²

A:

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (1, 0,…

A: This question is based on finding equation of tangent plane of function having two variables at a…

Q: your simpest form. factore. S dy (ay+ 13) Jyt4

A: the integration of the integral is 5/[(2y+12)(sqrt(y+4))].

Q: Find the constant a such that the function is continuous on the entire real line. 4sin x if x < 0…

A:

Q: For what value of the constant c is the function f continuous on (- o0, 0) where S (1)² – c if y 2

A:

Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

A: We have to find the initial number of bacteria.

Q: Which of the following expressions represents the height of a right circular cone having a slant…

A:

Q: ind cylindrical coordinates of the point with rectangular coordinates (3, –3, –7).

A:

Q: Solve the following items and show your solutions. b.) Identify if the following functions are…

A: To determine whether the given function is homogeneous or not.

Q: What are the values of 8 between 0 and 2n (inclusive of 0 and 2t) that satisfy the trigonometric…

A: tan2θ-3secθ=-3⇒tan2θ-3secθ+3=0⇒2+sec2θ-3secθ=0⇒secθ=2, secθ=1⇒θ=π3+2πn, θ=5π3+2πn, θ=2πn

Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

A:

Q: 3 dt (2t +8) Vtti

A:

Q: Hello, can you please solve the final answer using a right tringle? On there, we are instructed to…

A: After step 3: Line 9:  19-13sin3y+1siny+C We can use the triangle for subtitution.

Q: 2b + 3 %3D = 2b + 2 x + 27 =

A:

Q: What is the a value of x such that sinx = .? 3 = 24.5° = 53.6° = 41.8° = 38.7°

A:

Q: Find k so that the following function is continuous on any interval. S f(x) = 7x 2 < x kx 0 < x < 2…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

A:

Q: 6) Answer the following True or False: Let  f(x) be a differentiable function, such that f(1)=−9…

A: The solution is given in the next step.

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

A:

Q: Sv amate the indefinite integral Ancwer in simplest furm (Hactored porm) 1682-9

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 3, 4) (b)…

A: Given: xyz=12 (1,3,4)

Q: Direction: Solve the following equations using separation of variables. 5. y*y' + y' + x2 + 1 = 0

A: To solve the following differential equation by using separation of variables. y4y'+y'+x2+1=0

Q: If z = xe" and x = t2, y = Vt then the value of dz at t = 1 is equal to . dt Select one: True False

A: Solve the following

Q: 3m 5. rad 9. 1.1 rad 13. 1.6 rad 4 6. rad 10. 3.1 rad 14. 2.1 rad 2- rad 3 11. 0.50 rad 15. 0.091…

A:

Q: Q5: (a) Let 1 A -1 0 2 and B = -1 2x2 3 2x2 Evaluate A×B (b) Find the inverse of: 1 0 0 0 A = 2 1 0…

A:

Q: A mass that weighs 8 lb stretches a spring 48 in. The system is acted on by an external force of 8…

A: Given

Q: Direction: Solve the following equations using separation of variables. 2. y' = x(1+ y²)

A:

Q: A cone was formed by rolling a thin sheet of metalin the form of a sector of a circle 72 cm in…

A:

Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

A:

Q: 3 ex dx,n = 10 х, п 1

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Hwe Find dw and dw for the following functions

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: A detailed solution is given below

Q: The population of a certain community is known to increase at a rate proportional to the number of…

A:

Q: g (x) .5 Compute g(1) + g' (1) + g" (1) + g" (1) + g'

A:

Q: 3. y = ln³(x + sin x) 4. y = tan¬1(3x) cos 1 4x G ED DI 5. y =

A: All the questions are a solved below.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: sin[arcsin(1)] = -1 1 sin 1

A: We know, sin[arcsin(x)]=x

Q: Let à =, B = and Č = a) (à · B)č b) Ả · (2C) Find C)

A: A→=1,-2,3, B→=0,2,4, C→=5,-1,-3a)…

Q: A ball is thrown vertically upward. Its height h feet after t seconds is given by the formula…

A:

Q: Evaluate using Linear Equations. v(dv/dv)=6ve"+x(2v-1) O xv-(3v²+C)elt O None of the choices O…

A:

Q: Learning Task 4: Given the equation x2 +y² =9. 1. Differentiate using implicit differentiation. 2.…

A: Since, the student has mentioned to solve only part numbers (4) and (5), so we are solving part…

Q: (i) re dr -2

A:

Q: 2. y = loga(x³ + 2x – 2) 3. y = In³ (x + sin x) %3D 4. y = tan¬1(3x)

A: