y = 3x - 1 + Ce-3x Find the orthagonal trajectories to the given curve.

Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = x-2 - 7x-1 – 6 g'(x) =

A:

Q: Evaluate the indefinite integral. 4 In(5 – x) dx

A:

Q: Francine currently has $45,000 in her 401k account at work, and plans to contribute $3,000 each year...

A: We need to find total amount accumulated.

Q: (х+1)dy %3D (2xе* - ху - 2у)dx

A:

Q: using

A:

Q: ngle. Roun 20 km 34° A 25 km

A: According to our policies we are allowed to solve one question at a time. Kindly report the other qu...

Q: E=メ (x)NIb=R TANGET Nge of EQUATION 12)

A:

Q: Weather balloons are filled with hydrogen and released at various sites to measure and transmit data...

A: Given query is to find the the linear function and time taken to completel full the balloon.

Q: Which term best describes the mapping shown? a. relation b. function c. one to one function

A: Given query is to find mapping is a relation or function.

Q: Find the slope of the line tangent to the given curve at the indicated poin a. f(x) = 3x + 10 at (-3...

A:

Q: (a) lim (x) X-18 9. (b) lim f(x) lim f(x) (c) X-9 (d) lim (x) DNE (e) R-9) 9. (r) lim x) DNE

A:

Q: Calculate the derivative of the function. f(x) = (2x2 – 9)-1

A:

Q: X=3 cos 0 ST dx 1. 9– x2 May want an identity: Cos² 0 = (cos 20 + 1)/2

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: What do I say?

A: Simplify :     csc(x)+cos2(x)sin(x)

Q: The table shows the position of a cyclist. t (seconds) 0|123 4 |5 s (meters) 0|15 10 17 25 (a) Find ...

A: Given query is to find the average velocity using the table.

Q: Express the vector of the form v=vi+ v2j + v3k. AB if A is point (-9, -2, 1) and B is point (-4, -9,...

A:

Q: (a) Evaluate sin 2z -dz, 3z -ĝi where C is an anticlockwise unit circle centred at the origin.

A: Follow the procedure given below.

Q: 2. y= cos (x³ + 1)

A:

Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not evalua...

A:

Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: %3D a +32 dx x + 2

A:

Q: I. SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos³x – 1) dx = 0 2. xy' =2xex...

A:

Q: The ideal gas law PV = nRT gives a relationship between the pressure P in pascals (you can read abou...

A: Given: The ideal gas lawPV = nRTP : pressure                           variableV : Volume           ...

Q: 15) Find the slope of the tangent line to the given polar curve at the point specified by the value ...

A:

Q: Find the limit of the function as x approaches 2 from the right. a. 2 b. -1 c. 5 d. 0

A: Given query is to find the Indicated limit.

Q: A company has determined their yearly cost function, in dollars, to be given by 1,600x 5/2 C(x) = 6x...

A:

Q: Use the four-step process to find f'(x) and then find f'(3), f'(4), and f'(6). f(x) = 14 x+8 f'(x) =...

A: Given :f(x)=14x+8

Q: dx x² Vx² +9

A: Given that a integration of 1/(x2√x2+9). We know that Integration power rule is given  as - integrat...

Q: %3D 8. (D5 + 9D3)y = 0

A: "Student asked only for question number 8. So I am solving only question number 8." Ans (8). Given t...

Q: general

A: Please refer to the image below 

Q: 19. What are all values of x for which [ P dt is equal to 0 ? (A) -2 only (B) 0 only (C) 2 only (D) ...

A: We have to find the value of x. 

Q: continuous 2十3℃-10 Let fundtion fce)= て-と a H=2 at point then a =

A:

Q: 4. Set up the integral for finding the volume of the solid obtained by rotating the shaded region ab...

A: Given:    x = y2 - 4y     x = 2y - y2     Rotated over y = -2

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: Evaluate the indefinite integral. x13 sin(x7)dx

A:

Q: Solve the following inequalities by the verification method and indicate the solution set on the rea...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: (S'34) 9uq Find vector, parametric, and symmetric equations of the line through (2,3,4) and is perpe...

A:

Q: Evaluate the indefinite integral. | sec²(v#) dx

A:

Q: If z = 9x2 + y? and (x, y) changes from (1, 3) to (1.05, 2.9), compare the values of Az and dz. dz =...

A:

Q: Problem Set question: A particle moves according to the position function s (t) = et sin (6t). %3D E...

A:

Q: 10 and 11 triangle  Round your answers

A:

Q: Find the indefinite integral in each of the following. Show all necessary solutions. xdx 1. 3-2x-x2

A: Given that a integration and we solve this problem by using general property of integration.   We kn...

Q: Evaluate: x In a dx

A:

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Aƒ(Bx + H) + K. where ...

A:

Q: Error Analysis. Below is the solution (possibly, with errors) for the derivative of the given functi...

A:

Q: Evaluate the definite integral. da r(1+ In z)

A: We will use fact that  ln(a)b=b.ln(a). And ln(1)=0.

Q: 6. dx Vx - 1

A: Given that I=∫161x2-1dxsolution :∫1x2-a2dx=logx+x2-a2+C∫161x2-1dx=logx+x2-116=log6+62-1-log1+12-1=lo...

Q: Consider the following. y y = fix) 4 (a) By reading values from the given graph of f, use five recta...

A:

Q: 6. The limit of that constant is that constant. 7. The limit of a constantc times a function is equa...

A: Since we are given with the multiple number of questions and our guideline is solve the problem only...

Q: Maximize z = 8x + 2y subject to: x+y< 4 2x + y s 5 x2 0, y 20 The maximum is at (Give this answer as...

A: