10u +4 /ũ Find the most general antiderivative of f(u)

Q: Evaluate the following limits for h(x) = { 1- 5z 120 (i) lim h(r) (ii) lim h(x) (ii) lim h(z)

A:

Q: cos 20 7. S -do sin 0

A:

Q: Q3. Given the complex numbers z1 = -V3 +i,z2 = 2 - i,z3 = -V3 – 3i and z4 = 4 + 4i 3.1 Represent the…

A: We have to solve given Questions

Q: Plot the point whose polar coordinates are -3, In the graph below, use the 4. options to change the…

A:

Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

A:

Q: 5. A two-pen corral is to be built. The outline of the corral forms two identical adjoining…

A:

Q: O The series does not converge. 5. To what number does the series converge k=0 (A) 0 t+e…

A:

Q: - 4× dx хе

A:

Q: If f(x) = %3D

A:

Q: An Integration factor of this differential equation is .7 3x2 + 1+ x3 dy 1 y = 1+ x2 dx

A:

Q: dy = ky dx x = eky y = e-kx Option 2 O Option 4 O y = ekx x = e-ky Optio n 2

A: The given equation is dy/dx=ky.

Q: Find the limit. lim (arctan(6t), e-4t In(t)

A: See the details solution in below

Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Let the initial number of bacteria be PoLet P(t) be the number of bacteria after t hours.

Q: Suppose w = x = cos? t, y = sin? t, z = dw Evaluate at t = 3 , by using the Chain Rule dt

A:

Q: 1 dx

A: This question can be solved using the concept of definite integral.

Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

A: We need to provide 5 sample problems for Elimination of Arbitrary Constant Differential Equation.

Q: Given a, b e Z, 6 7 0, consider the following affirmations regarding Euclides's algorithm: i) There…

A: We want to choose the correct option.

Q: Find the limit.

A:

Q: Solve the integral using wallis formula.

A: This question is related to definite integration, we will solve it using given information.

Q: Evaluate the sum. Σ (-2) k 2 k=2

A:

Q: Find f, and f, as functions if 2y f(x. y) = y+ y + cos x

A: This question is related to differentiation, We will solve it using given information.

Q: Find the volume of the solid that results when the shaded region is 6 revolved about the indicated…

A:

Q: 254. The sides of an equilateral triangle is increasing at rate of 10 cm/min. What is the length of…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Where is each function continuous? (b) f(r) = sin-(1-r) %3D I+3 (c) f(r) In ) %3D (d) f(r)= 12+5r+ 6

A:

Q: Use logarithmic differentiation to find dy/dx. y = x8/x

A:

Q: Find the inverse of the function. f (x) = 14 – 5x³

A: Topic = Function

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 1 lim X→-8+ X + 8

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

Q: Solve the equation .11 y" + 3y + 2y = x2

A:

Q: 5. Determine the horizontal asymptote. x³ +2x² -6 а. У- x? x* +3x° +x² –7 b. y: x* - 3x³ +8

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: As we know that; The critical number of the function, y=gy can be determined by solve the equation…

Q: Find the distance from the point S(1, 1, 5) to the line L: x = 1 + t, y = 3 – t, z = 2t.

A:

Q: Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =

A:

Q: dr 15. (4 – 2²)3/2

A: Topic = Integration

Q: 2 4-x Find the area in the first quadrant bounded by the coordinate axes and the graph of y = 5 The…

A:

Q: 11. (6 points) The demand for a certain product can be modeled using the equation d(x) = x2 - 4x +7.…

A:

Q: Find the derivative of the function y = 3 sec¬' (x + 3). (Use symbolic notation and fractions where…

A: We need to find derivative.

Q: (-3,-).* Plot the point whose polar coordinates are (-3, . In the graph below, use the options to…

A: Given problem:- Plot the point on graph whose polar coordinates are (-3, -π/6)

Q: Find the area of the "triangular" region in the first quadrant that is bounded above by the curve y…

A:

Q: This equation is.. differential .equation dy y2 =x² + dx %3D ху Bernoulli O Linear O Homogenous O…

A:

Q: Find an equation of the plane through (-7,2,1) that is perpendicular to the line x - 2 = 3t, y +3 =…

A:

Q: x2 C. y=- ,2 х*+2х-15

A: c.) y=x2x2+2x-15Differentiating w.r.t xy'=x2+2x-152x -…

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at æ…

A:

Q: Find u + v, u - v, and 4u 5v. Then sketch each resultant vector. - u = (-4, 2), v = (3, -6) %3D (a)…

A:

Q: This matrix is a 0 0 4 0 [ 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A: Given problem:-

Q: dx In x +1+ Vx² + 2x| + C Vx2 + 2x

A:

Q: 9. sin ở In(cos 0) de

A: let I=∫sin θ ln(cosθ) dθ Integration By parts: ∫udu=uv-∫vdu u=ln( cosθ) ; du=1 cosθ-sinθdθ=-tanθdθ…

Q: 1. It is a list, or an array of numbers arranged in a definite order. a. ordering C. arrangements d.…

A: Ans 1.       A sequence is a set of numbers  arranged in a definite order. and the numbers in the…

Q: = ky dx x = eky y =e-kx Option 2 Option 4 y = ekx x = e-ky Option 3 y=ekx

A:

Q: taylor LnX

A: Taylor series:  fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+..... Where centered at x=a.   Given; fx=lnx…

Q: 10. Evaluate the limit of 0/(2 sin0) as 0 approaches 0.

A: