6. Given the space curve r(t) = (t, 2et, e2t), find the tangential and normal components of acceleration.

Q: cof z-csc z dx So 2cotzcosz

A: a detailed solution is given below 

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3 ...

A:

Q: Odr + (2r +1– Or) d0 = 0

A:

Q: 26. Find the area of the region bounded by the curve y = 4x – x?, the lines x = 1 and x = 3 and the ...

A:

Q: The temperatures T (in °F) at which water boils at selected pressures p (in pounds per square inch) ...

A:

Q: Solve the problem. A garden hose is spraying a stream of water at a box on the ground with a force o...

A: Force= 4.8 pounds , angle with ground= 30°  Find horizontal component of force 

Q: Consider the following. T/2 3 cos?(0) de State the half-angle identity that can be used to evaluate ...

A:

Q: Enclosing the Largest Area The owner of the Rancho Grande has 2,956 yd of fencing with which to encl...

A:

Q: Calculate the derivative of the following function. y=f(g(6x*)), where f and g are differentiable fo...

A: We have to find out

Q: • Solve the separated functions when (i) k = 0 (ii) k #0 a²x kX(x) = 0 a2x2 %3D

A: For (i), k=0.     ∂2X∂x2-kX=0⇒∂2X∂x2=0Integrating once,⇒∂X∂x=c1Integrating again,⇒X=c1x+c2

Q: Evaluate the following integrals of inverse trig functions. NOTE: SHOW COMPLETE SOLUTIONS 1.∫ sin^...

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A:

Q: Express the vector in the form v = vji + v2j + v3k. AB if A is the point (-9, -5, 5) and B is the po...

A: A-9,-5,5 and B-4,-12,8

Q: Calculate the derivative of the following function. y = (csc x+ cot x) dy dx II

A:

Q: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

A: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

Q: For the vector-valued function r, carry out the following steps. a. Evaluate lim r(t) and lim r(t), ...

A:

Q: Find the derivative of the function. h(t) = + 9. h'(t) = Need Help? Read It Master it

A:

Q: Use the trapezoidal rule with n = 5 to approximate cos(a) - d.x Keep at least 2 decimal places accur...

A: ∫15cos(x)xdx ; n=5

Q: 19. Differentiate the following functions. g) y = 2 h) y = xsin-1x+ V1- x2

A:

Q: Identify

A: We will solve the integration. 

Q: Create your own examples. Formulate one given 3x3 equation (3 equations and 3 unknowns). Solve each ...

A: Let the system of equation be      x-y+z=42x+y+z=7-x-2y+2z=-1

Q: 25. Evaluate the following definite integrals. dy d) (y+2)

A:

Q: The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola. Name th...

A: The parametric equations are given as , x=2cos8t , y=2sin8t Name the type of curve that the pair of ...

Q: 21. Find y' using implicit differentiation. a) In (xy + x + y) = 2 b) In (sin xy) = xy

A:

Q: Find the limit of the function along the x-axis xy lim (x.y)-(0,0) x2 + y?

A:

Q: O Find the linearization Lcx) for fex) 3x -8x+7 when a=

A: We will find the linearization L(x) for the given f(x)=3x2-8x+7 when a=-2 in the following step.

Q: Simplify the following trigonometric expression. cosx(secx- cosx)

A:

Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A: Revenue function , R (x) = x P(x) Where P is the demand function  and x is the  price per unit.

Q: 7. If exactly 100 people will sign up for a local flight, the airline will change P 3,000.00 per per...

A: The given no. Of people is 100 and the charge is 3000 per person. If more than 100 people sign up, t...

Q: Find the limit of the function along the path y = 2x X-1 lim (x.y)-(0,0) y -1

A: We have to find the limit of the function along the path

Q: х3+ 4x2-9х-36 %3D 4x2+28х+48

A: Let's find. 

Q: Question 2 We consider compound interest with a nominal annual rate r compounded n times per year. T...

A:

Q: Write a chain rule formula for the following derivative. for w = f(p, q, r); p = g(t), q = h(t), r =...

A: Here, w=f(p,q,r), p=g(t), q=h(t) & r=k(t) So, 

Q: Create your own examples. Formulate one given 4x4 equation (4 equations and 4 unknowns). Solve each ...

A:

Q: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -...

A: We have to find out the vector

Q: 1000 The logistic growth model P(t)= represents the population (in grams) of a bacterium after t hou...

A:

Q: 23. Find the point c that satisfies the mean value theorem for integrals on the interval [1,4] for f...

A: The given function is: f(X)=2x2-7x, [1,4]

Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000. ...

A: We have t find the number of units that needs to be produced for making the marginal revenue zero.

Q: х*+ 4x2-9х-36 3. у %3 4x2+28х+48

A: First we simplyfy then taking derivative. 

Q: Solve the following equation on (-0,00) 2 cos? 3x + sin3x = 1 %3D

A:  Solve the following equation on (-infinity, infinity)  2cos2(3x)+ sin(3x)= 1 

Q: The integral represents the volume of a solid. Describe the solid. 2nx' dx O The solid is obtained b...

A:

Q: A. Fill in the table and guess the value of the limit. 1. lim f(x), where f(x) = %3D f(x) f(x) 1.002...

A:

Q: Solve ( V42 dx then evaluate the answer at x=-39 and C=34

A:

Q: 5q sin q p = 4 q* - 3 dp = dq

A: it is very basic problem of diffrentiation.

Q: 36) -24i + 32j

A:

Q: Use the graph of the function to answer each question. (-2n < x < 2n) f(x) = cot(x) 3 –27 2л

A: We have properties of cot function to solve this problem

Q: 10 -X 13 10-x = J3x 10 ニ 3.66 m

A: Topic:-  function   

Q: How will you know if a function increases and decreases and how will you locate the maximum and mini...

A: Let y = f(x) be any function given   

Q: the cross section of a trough is a parabolic segment 8 ft wide and 4 ft deep. if the trough is fille...

A:

Q: If z = eax+by az then a az is ay

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...