Find the general solution: dy + ycotx = 3eCosx dx y = 3cscx(ecosx) - ccosx b. y = -3cscx(ecosx)+ ccscx c. y = -3cscx(ecosx)+ ccosx d. y = 3cosx(ecosx)- ccscx

Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each…

A: Given:     ∫-4432-x2-x2dx Here the integrand is the difference between the two functions. The two…

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

A: After solving the problem, we get only one equation. But, there is three variables. So, we have to…

Q: (a) The graph of a piecewise function, ƒ (x) is plotted in Figure 1. Discuss the continuity of f (x)…

A: Given

Q: A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating…

A:

Q: SOLVE THE FOLLOWING INDETERMINATE FORMS x' -x? - 8x +12 Lim 1. X→2 3x' -10x² +4x + 8

A:

Q: I. SOLVE THE FOLLOWING INDETERMINATE FORMS e* +e* – x? – 2 1) Lim sin? x– x? 2 x0

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 6. (6x – 3y + 2) dx - ( 2x - y– 1) dy = 0 ans. 3x - y + C = 5 In | 2x - y + 4|

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 9x - 3y + z = 4 x + 4y + 3z = 1 O…

A:

Q: 6)Let f ( x ) = x4 + x3 - 3x2 + 1 a)Find all the hypercritical values. b)Determine the intervals…

A: The given function is f(x) = x4+x3-3x2+1 ............................ (1) We have to a)Find all the…

Q: If the multiplicity root m = 2 which wil converge faster newtons method or biscection method? Give…

A: The multiplicity of the root is 2.  Hence, the curve will either remain on the one side of the…

Q: 3 2 2 3 1, find the matrix B Such that AB = 5 3 4 3 4 2 1 6 1 5 6 4 , If A = 1

A:

Q: solve the bernoulli equation dx +1x' + = 0 +tx dt

A:

Q: Find a point P on the line and a vector v parallel to the line by inspection. Enter the vector i as…

A:

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

A:

Q: Activity 1. Calculate the Extrema Directions: Calculate the absolute extrema of the given functions.…

A: We need to find critical points to find extreama  or minima.

Q: When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x…

A:

Q: Consider the linear transformation T: R3 R defined by T(x, y, z) = (x – 3y + 2z, 3x + y + 5z, -2x +…

A: To find the standard matrix of the given linear transformation.

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A:

Q: How 2 Find the absalute maxima and minima for the funcfion f(x,y) 48xy-32 x - 2u yen the…

A: Find value at critical point and end points.

Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Given that the plane contains the y-axis and makes an angle of pi/2 with the positive x-axis. Here…

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A:

Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the…

A:

Q: Learning Task 1: Directions: Solve for y in terms of x (isolate y on one side of the equation and…

A:

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

A:

Q: Match the polar equations with the correct polar curve. (i) r = 2 cos (0), 0 <o <T/2. --- (ii) ----…

A:

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (8, 5)…

A:

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300…

A: Given problem:- A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w…

A:

Q: - If g(x)=-9x+2 evaluate g (0), g (-5) and g(2x+3)

A:

Q: 3. Determine the values of a, b, and c such that the function f(x)=x+ax + bx+c has a y-intercept of…

A:

Q: w3sec?xdx – (1 – 2w²tanx)dw = 0

A: Let's find.

Q: 2)Given :f ( x ) = 2x3-3x2-36x+14 Find the critical numbers.b)Find the relative (local) extrema.

A: Given,            fx=2x3-3x2-36x+14To find : a Find the critical numbers.                 b Find the…

Q: The base of a three-dimensional figure is bound by the semi-circle y = V9 x. Vertical cross sections…

A:

Q: Calculate the Maclaurin series expansion of x sec x. Give the first three terms.

A:

Q: *2 dx = (Vx + 4)° + c 16ln(Vx – 2) + c %3D

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 1, (1, 5) Vf(1, 5) =

A: Let's find.

Q: cot (3x) За co dx csc 3x + 1

A: To evaluate the given integral.∫cot33xcsc3x+1 dx

Q: 16 2. A light at the top of a 16 ft. pole. A man 6 ft. tall walks away from the pole at a rate of 5…

A:

Q: An open box is to be made from a 16 inches long and 10 inches wide rectangular pieceof metal by…

A:

Q: 3. Which of the following is the solution to sin a +1 = 0? O x = 0 + 360k O x = 180 + 360k O x = 90…

A:

Q: for what Vatuer of the constant(k) that the funstion fayt=x²+kxy +y will have a- Saddle Point…

A:

Q: 7.) Without using decimals, common denominators, or cross multiplication, be convincing of which…

A:

Q: V 8-x² X 2 4.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: complete and detailed using techniques of variation

A: Given,            ∫dy1+y+13

Q: 2(V3 – i) (1 + 1)?

A:

Q: Sales of a Product The total number of units of a new product sold t months after its introduction…

A: see below the answer and explanation

Q: Learning Task 2: Expand each function (using the appropriate technique/ formula). Compute the…

A:

Q: Find a point P on the line and a vector v parallel to the line by inspection. Enter the vector i as…

A: Explanation of the answer is as follows

Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

A:

Q: sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: