) Find for the following functions (choose five only): dx 1. y = 2* + e2x-1 2. y = sec x tan x 3. y = t2 + 2t t = Vx -1

Q: Graph the feasible region. x + y 2 3 -x + y 2 1

A:

Q: Q4) Find for the following functions ( dx 4. coth(ln x)

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: A. Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

A:

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.02t° +…

A: This question can be solved using the concept of interpretation of a function and its derivative at…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bxº dx 10ax + bx10

A:

Q: What is the volume of the solid formed by revolving the region bounded by 8y = x2 and 8x = y? about…

A:

Q: 3"x" Σ ,x € R, is: n! A primitive for the function f(x) = n=0 Choose an option: 3n+1n+1 (n+ 1)! n=0…

A: Solved below

Q: Find the equation of the tangent line (s) to the following set of parametric equations at the given…

A: Given parametric equations of a curve.

Q: 4. 7 [fx)dx = - 7, r(x)dx = -7, and = 7. Use these to complete parts (a) through (f). The functions…

A:

Q: ||r(t) × r"(t)|| ||r"(t)||³ Use the formula k(t) = to find k(t). r(t) = eti+ej

A:

Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (o, 0) to (0, -9) and (0, -9) to (5, -9) 589 2

A:

Q: Convert the point from spherical coordinates to rectangular coordinates. (9, - =) (x, y, z) =

A:

Q: Describe the graph of the equation. r = -6i+ (1 – t?)j + t k O It is a parabola in the plane z = -6,…

A:

Q: Integrals

A:

Q: Find the arc length L of the graph of r(t). r(t) = 4 cos(t)i + 4 sin(t)j+ tk, 0<t< 2m L

A:

Q: Question 7 Given that f (x) = 3x – 2 and ( x + 3 if x > 2 g(x) = Ja| - 3 ifr 2 what is (f + g) (-2)…

A:

Q: -2 Evaluate (5y- 2)dy

A: Given problem :- Evaluate∫125y4-2dy

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

A: Given :r(t)=cos(πt)i-ln(t)j+t-14k ; t0=15To find : The domain of r(t) and the value of r(t0)

Q: Solve the Laplace Transform of the given function 6e5t cos(2t) – e7t

A: Solved below

Q: In this problem, please evaluate the trig functions without a calculator and do not use a decimal…

A: Equation of a tangent line of y=f(x) at (x1,y1) is given by, y-y1= [dy/dx]at x=x1 (x-x1)

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

A: Find the domain of r(t) and the value of r(to).

Q: A company sell the car batteries for $105 each. They paid $2500 for a licensing fee and will buy…

A:

Q: Evaluate the indefinite integral. x2 dx 0.2x3 + 2.7 + 2.7

A: topic - indefinite integral

Q: Find əw/ar and aw/as when r = n and s = 0 if w = sin(2x – y), x = r + sin s, y = rs.

A:

Q: 2. Find the coordinates of the centre, vertices and foci of the curve with parametric equations: x =…

A:

Q: Determine the value of c for which lim (1 + 2,5n = ell n-00 сп

A:

Q: {(1-9*"} bn a,b e R n

A:

Q: Convert the point from spherical coordinates to rectangular coordinates. (2플) (х, у, 2) -

A:

Q: 9- If a person with O'Micron virus coughs, It will spread the virus in a spherical form, determine…

A:

Q: Given two points P1(0,2,-1) and P2(2,0,-1), find the perpendicular distance from the point P3(3, 3,…

A:

Q: 2. A triangle is inscribed in an ellipse whose equation is 9x? + 16y? - 216x- 320y+ 2320 = 0. One…

A:

Q: f(x,y) = 25 - x^2 - y^2 at the point P(3, 4). Use the Partial Limit Dervatives

A: Given problem:- f(x,y) = 25 - x2 - y2 at the point P(3, 4). Use the Partial Limit Derivatives

Q: 7. The ellipse with the equation y2 = 1 is rotated about the x axis to form a solid shape. A…

A: Given:  An ellipse:x252+y242=1  , rotated around x-axis. A cylinderical hole of radius 2cm along…

Q: 3. Find the general solution of the differential equation. y"-6y' +13y = 0.

A:

Q: Lnx sin 2x dx

A: Use the properties of definite integral and solve the question.

Q: Solve the following problems. 2. At 1:00P.M, a thermometer reading is 70°F is taken outside where…

A:

Q: Find the general solution of the following nonlinear first order ariable separable O.D.E.: x?dy +…

A:

Q: 2. Find the area bounded by a curve x = y - 2y? - 3y and the x- axis 3. Find the area bounded by a…

A:

Q: Find T(t) and N(t) at the given point. r(t) = (t? – 3)i + tj; t= 3 T(3) N(3) =

A:

Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: Find the particular solution of the following ODE given that y(0)=0 and y'(0)=0: d'y_4dy –4+3y=…

A:

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) = 0…

A: Solving

Q: dx メ-1

A:

Q: d= 3 m

A:

Q: Ley y = tan x. (a) Find the differential dy. dy = (b) Evaluate dy and Ay if x = t/3 and dx = -0.1.…

A: (a) Here f(x)=y=tanxdy=f'(x)dxdy=sec2xdx    =sec2(π3)(-0.1)    =-0.4

Q: Conjecture a formula for f'(a) that depends only on the value a. That is, in the same way that we…

A: Given that, fx=4x-x2 We need to compute the value of f'a.

Q: 9. S sec 2x dx 10. S cos x esin x dx 11. dx x+1

A: Evaluation of the above integration is

Q: Find the slope of the tangent line to the graph of y = √x − 1 at the point (5,2).

A:

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for tN 0. Then the integral L{f{t)}…

A:

Q: Find the equation of the tangent line to the graph of f(x) = 7 sin(x) + 6 cos(x) at x = in the form…

A: