1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations z = e' – 1, y = e".

Q: ハメー X1 YxJ dx |

A: Find the integral

Q: ,In sec²(sin2y)dy can be evaluated by writing it as sec2y ! / sec²( sin2y) - 2 cos2ydy S. | sec2( si...

A: To simplify the given integral.

Q: Calculus Question

A:

Q: ++8, Express the answer in rectangular form. (2+3i B. Evaluate the expression () - (). 1+2i

A:

Q: Find the vector component of v = 2i – j+ 3k along b = 6i + 6j + 7k and the vector component of v ort...

A:

Q: Sx² – 1, (2x + 1, 3 < x < 10 x< 0 Evaluate lim f(x) if f(x) = x→3

A: Since left and right limit at x =3 not equal then we say that limit does not exist at x=3

Q: Show that the functions in Exercises 21-28 have exactly one zero in the given interval. 21. f(x) = x...

A: Given problem:- Show that the functions  have exactly one zero in the given interval 21. f(x) = x4 +...

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A:

Q: Let a = ci + jand b = 12i + 9j. Find c so that the angle between a and b is. Round your answers to f...

A:

Q: Given: g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 Find (1) the derivative with respect to x and (2) th...

A:

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2" – x has a critical number betw...

A:

Q: 180; 수i1 Question 8 Find the length and direction (when defined) of u × v. u = 4i + 2j + 8k, v = -i ...

A:

Q: Determine the set of points satisfying the condition described by |z – 3| + |z + 3| = 10 Then expres...

A:

Q: 1 Which of the following functions, whose domain and b) codomain are the real numbers, are one-to-on...

A:

Q: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find. 

Q: 4. y = 2x – x², y = 2x2 – 4x |

A: Since you have posted multiple questions i can do first question (no.4)as per our company guidelines...

Q: f(x) : 1

A: The given function f(x)=1x2

Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+7k w = i+ 8j + 7k Find the v...

A: Volume of the parallelepiped is 238 cubic units. 

Q: Find the coordinates of the vertex and the focus for the parabola given by the following equation: 8...

A: To find out the vertex and focus of the parabola.

Q: ydy – ydx = xdx; when x = y= 0

A:

Q: (За — 1)" 5n Vn + 1 n=1

A: Given problem:-

Q: Question 6 Find all the second order partial derivatives of the given function. f(x, y) = x y 2 + y ...

A:

Q: Find the area of the region enclosed by the graphs of 1 1 =0, and x = 4 y = 0, x V1– 4x? - NOTE: Ent...

A:

Q: (2+3i '8+i Evaluate the expression Express the answer 1+2i) rectangular form.

A:

Q: (

A:

Q: 5. Find the extremum points of the function (the minimum and maximum points, the values of the funct...

A:

Q: Find the center of mass of the three particles having masses of 1, 2, and 3 kg located at the points...

A:

Q: Question 4 Find all the local maxima, local minima, and saddle points of the function. f(x, v) = 36x...

A: Let us consider a function f(x,y) . To get the critical point of f(x,y) we put ∂f∂x=∂f∂y=0 Let (a,b)...

Q: Exercises: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

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

Q: 9 1/2-8 3/4+10

A: We have to find solution of given expression.

Q: Given the curve y = x² – 2 and line x = y. 1. Compute the area bounded.  a. 3.2 sq. units b. 2.6 sq....

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 2 dx 9-36x²

A:

Q: Consider the following planes. -6x + y + z = 6 12x – 2y + 6z = 36 (a) Find the angle between the two...

A:

Q: 2 y = 12 – 3x", y= 4 – x- — х |

A: Let's find. 

Q: cm/min

A:

Q: Find the critical numbers of the function f(x) = x – 12x2.

A: This is a problem related to derivative of the function. Based on the general formula we will calcul...

Q: 2. Show that the equation 2x + cosx 0 has exactly one real root.

A:

Q: e*Vex-1dx ex+3

A:

Q: EValuate:- (sin?G coszoldo

A: On solving this we will get:-

Q: у%3D 2х — х", у%3D 2х — 4х -

A:

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second...

A:

Q: (Зл — 1)" 5n /n +1 n=1

A:

Q: Question 13 Solve the problem. Find parametric equations for the normal line to the surface x² + 2xy...

A: Find parametric equations for the normal line to the surface x2 + 2xyz + y2 = 4z2 at the point (1, 1...

Q: Use Root Test to determine whether the series E(-1)"en² sin²n (2) n=1 absolutely converges, conditio...

A:

Q: f(x) : x?

A:

Q: An object is released from rest, at a height of 1250 feet above the ground. The height of the object...

A:

Q: 10. In the diagram below, the conical part's radius and height are seven centimeters and ten centime...

A: Given: Radius of the  cone =7 cm Height of  the cone =10 cm Diameter of the cylinder=  14 cm  Height...

Q: Solve the following equation using bisection method to find the root between x1=1 and x2=3 make 5 it...

A: Given,f(x)=3x3-10x-14We want to find root of function between 1 and 3Thereforef(1)=3(1)3-10(1)-14f(1...

Q: from the observer? Remember the sides of a right triangle are related by 20 s saigt foward an obsenv...

A:

Q: 2. Consider the graph of the function h given below.

A: Given graph  shown is parabola  Opening down side