dx sinxtanx

Q: Suppose that f(z, y) = z*y°. The directional derivative of f(1, y) in the directional ( – 1, – 2)…

A: We can solve this as follows:

Q: x+3 Where is f(x) discontinuous? 2²+4x+3 О-3,—1 O -1 O -3 O f (x) is continuous everywhere

A: To determine the points where the given function is discontinuous.

Q: True or False: If lim f(x) = 2 and lim g(x) = 4, then lim[-3f(x)² – 49(x)] = -4 %3| True O False

A: Given: limx→afx=2 and  limx→agx=4.

Q: x +1 Evaluate the given limit of lim if it exists. 2→-1 x4 – 1 O limit does not exist 4 O -1

A: We have to find the limit

Q: 3. a) Determine the slope of the function, h(x) = 4sinx at x =". b) Find the slope of the line that…

A: We can solve as follows

Q: 4–9x² -dx

A:

Q: chain rule to find given w = x² + 2y² + z² and x = cos (st), y = -2s lnt an 3s2 Vt.

A: We have to find out derivative

Q: In +4 7n+4 Let 2 5" and an 5" n=1 an+1 a) Find lim an n + 00 7n+4 is n =1 5" b) Determine whether 2…

A:

Q: xp - )s ɛ

A: As per the guidelines I can solve only first question

Q: 2t +1 lt +8 -dt + 4t +4t 3

A: Let's find.

Q: Evaluate the following integrals. 2 (a) S(csce)(1 + sin´e + sine cot + sin¯0 + sin0 cot¯0 ´e)de

A: Solution is given below:

Q: a) Determine whether the series 11n? + 8n + 32 is n³ + 3n2 – 7n + 1 n=1 RY convergent or divergent.

A: Since you have posted multiple questions which are not interlinked i can do first question as per…

Q: 1 5. Let f(x, y) = x² 6y3 - In y ), for y > 0. af of f &²ƒ Əx' dy' Əx²' dy²' Determine the partial…

A: Given: fx,y=x216y3-lny   As we know that; The Power law: ddxxn=nxn-1 And ddxlnx=1x

Q: Determine if the following function is continuous or discontinuous at x = 0? 4z +5 f(2) = %3D 9- 32

A:

Q: Edit Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places…

A:

Q: Find both first partial derivatives. Z = cos(4xy) %3D Oz %3D ду

A:

Q: Find V · (V × F), if F(x, y, z) = 3e"*i+3.xe"j – 8ev²k. V ·(V × F)

A:

Q: Given z = f(а, у), а — г(и, v), у — у(и, v), with 2(0, 2) = 1 and y(0,2) 4, calculate z,u(0, 2) in…

A: We have to find the value of zu(0,2).

Q: A pencil cup with a capacity of 36 in.3 is to be constructed in the shape of a rectangular box with…

A:

Q: Solve the following second order homogeneous linear differential equation if the 4 initial…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Find the slope of the tangent line to the parametric equations: x = 3t2 - 3, y = 2t + 1 at t = 1. %D…

A:

Q: Fnd the average value of the function over the glven Interval. (Round your answer to three dedmal…

A:

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 10tj – 3Vtk) dt

A:

Q: X+3 24) Find the integration by using: J: dx 2x3-8X

A:

Q: Find Taylor series generated by f(x) = 3x5 -x* + 2x3 + x² - 2, at a = -1 %3D |

A:

Q: 7. Find the linear approximation near (2, 0) of f(x, y) = 3x e¯3ªy.

A: To find the linear approximation for the given function.

Q: xdx sinh? (2x²)

A:

Q: ㅇ z"+ 35 to

A:

Q: Please answer all parts in detail.

A:

Q: Find the conservative vector field for the potential function by finding its gradient. g(r, y, :) +

A:

Q: Find r'(t). r(t) = (tan(10t))i+t cos(t)j – VEk NOTE: Enter your answer in terms of i, j, and k.…

A: Given problem :- r(t) =(tan-1(10t)) i+t cos(t) j-√tk Find:- r'(t)

Q: 1. Find fa(x, y) and fy(x, y) given f(x, y) = (csc y) Arcsin(r2).

A:

Q: C. Find the general solution of the given variable separable equation. 1. 2cosx cosy dx - 3Isin x…

A:

Q: dy then dx If y = In(x/x² + 1), 2x2 + 1 C) x/x² + 1 2a2 +1 D) x(x² + 1) x² + x +1 E) x(x² + 1) 1 A)…

A: Find the derivative

Q: FiNd the volumes OF the solids gewerated by revolving +he regions bounded by the graphs oF the…

A:

Q: 2. y = e*cos (2x) is a solution to y'-bytoy=0 3X

A: 2.y=e3xcos2x is a solution to y''-6y'+13y=0

Q: Integration

A: We will solve the integral.

Q: 1. (1 + y?)° dy 2. S sin x+cotx dx sin?x

A:

Q: Express à = (3, 1, – 1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

A:

Q: Find r'(t). r(t) = (tan¬(11t))i+t cos(t)j – vik NOTE: Enter your answer in terms of i, j, and k.…

A: This is a problem related to derivative of the function. Based on the general formula and concepts…

Q: Fnd the Indefinite Integral and check your result by differentlation. (Use C for the constant of…

A:

Q: ||r'(t) × r"(t)|| Use the formula k(t) : to find k(t). ||r'(t)||* r(t) = t’i + t®j 390 t14 K(t) = t3…

A:

Q: 9. S (6eº+1)/½ eo 10. |(1 + 2x)³ dx

A: We can solve as follows

Q: Problem 5 Part 1: Consider a cost function where C(x) in Philippine peso is the total cost of an…

A: Let's find.

Q: у? — 4у — 21 Зу2 — 17у — 28 imy→7

A: Given query is to find the limit of the expression.

Q: 3 of 20 Select the best answer. (2e + 1)ª lim z+00 (tan(x))- O DNE

A: We have to find the limit.

Q: 4. The voltage signal from a standard wall socket can be described by the equation V (t) = 325…

A:

Q: Find V (V x F), if F(x, y, z) = 6ei+ 9xe'j - 5e k. V. (V x F) = %3D

A:

Q: 5. This problem will walk you through using integration to find the formula for an area of a circle:…

A: equation of circle  x^2+y^2=1 y^2=1-x^2 y=±1-x2 according to question circle lies only 1 quadrant so…

Q: Find the series radius and interval of convergence for what values of x does the series converge x"…

A: We need to find radius and interval of convergence.