1. For the right triangle pictured below, find the exact values of each of the following (no decimals or approximations, please): (a) cos(0) (b) tan(0) (c) csc(0) 3

Q: x/2 dy 2. -y=e

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 4 find f'(3). x2 If f(x) =

A:

Q: 4-In any clements is the only hilpolent elements O ac-b)= C-ajb= - Cab) O C-a) (-b) =ab %3D %3D

A: 1.  We have a(-b) + a.b =a.(-b+b).     ( Distributive law )                    = a.0…

Q: What is the final answer

A:

Q: y - 4y+ 4y = 2t2 + 4te2t + t sin2t

A:

Q: Evaluate the following indefinite integral. dt t In(t) Note: Don't forget your C! And be sure to use…

A:

Q: 1) Find the equation of the tangent line to the curve: x* + xy – y = 7 at (3,2) %3D

A:

Q: 3 csc 6x 07. lim,-n12 'xn/2 csc 2x

A: Given;  Limx-pi/2  3 csc6x/(csc2x)

Q: cot X dy Cos X Sinx

A: To solve the given differential equation.

Q: -9dx xVx2-9

A:

Q: lim, (e² – 1)cosx COSX

A: To evaluate the given limit.

Q: 7.2Find the macrorin series of f(x)=(1+x)^(1/3) , by reacthe term n=4

A: Follow the procedure given below.

Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

A:

Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 50L0ºK®1 where L is…

A:

Q: In R', the point (1, 1, 1) does not belong to the cylinder x + y = 2. Select one: True O False

A: Given problem:- In R³, the point (1, 1, 1) does not belong to the cylinder x² + y² = 2.  True  False

Q: complete

A: We will solve the integration.

Q: Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) =…

A: This question is based on continuity of function.

Q: Solve the given DE: dy e* – 2x cos y eу — хx2 sin y' dx ||

A: Differential equations is solved.

Q: 1 х-х2 dx -8 2

A:

Q: If y = 3 then dy/dx = 4+x O -6x/ (4 + x² )2 O 3x/ (4 + x² )² O 6x/ (4 + x² )2 O -31 (4 + x? )?

A:

Q: x’y? If z , show that x=+ y- 3z x+ y ôx ây a²z ô²z = 0 if z= Tan 2.xy x² – y? Show that âx² ' ây²

A: A detailed solution is given below.

Q: 2X 3- dy + 2 (9e-x) dx = o e SinX dy + Cosx y tan x 4-

A:

Q: Solve the following differential equation: dv = Vcoto + V³cosece OP

A:

Q: Suppose that f(1, y) = 2z² + 2y – zy Then the minimum is

A: We need to find minimum value.

Q: Evaluate the integral x³ - 3– 2x2 - 4 dx x3 -2x2

A: We have to find integration in this question.

Q: Find the moment with respect to x=4 for the first-quadrant area bounded by y^2=4x, the x-axis and…

A: We have to find moment with respect to X=4.

Q: n the appropriate interval of convergence, we know that then we can deduce, by applying the ormula…

A:

Q: 2. Define f, g: R → Ras if x 3 %3D and g(x) = 8x – 1. Flnd f •g and gof.

A: (fog) (x) = f(g(x))                = f(8x-1) =(8x-1)^2  if x<-1                                =…

Q: S. 14 V1 + 7x dx

A:

Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

Q: find dy for ee Sin (メ+34) dx

A:

Q: Write a in the form a = a-T+a,N at the given value of t without finding T and N. )3 (7 e*cos t)i+ (7…

A: Given that;                      a(0)  = atT + anN     Let's   Find  the value of at and an.

Q: Find the cost function if the marginal cost function is C'(x) = 6x -7 and the fixed cost is $7.

A:

Q: Q1): Find the point (x, y, z) that lines on the plane x +y + 2z = 4 that is nearest to the origin.

A: This question can be solved using the concept of distance of point from a plane in three dimensional…

Q: Evaluate the integral: Si (1+ 3 dx x2 Express your answer in decimal. Round off to 2 decimal places.

A:

Q: 1. Which of the following relations is FALSE. A) (ab)" = a"b" B) C) (a")" = a"* D)

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost others.…

Q: Use substitution to find the indefinite integral. 6x + 5 -dx (9x? + 15x) 2 S 6x + 5 xp. 3 (9x? +…

A: The detailed solution is given below Thank you

Q: -1 x-x2 dx -8 2도 1423 1521 22 20 Option 1 Option 2 1425 1523 22 20 OOption 3 Option 4 None of the…

A: Given problem:-

Q: 14 V1+ 7x dx

A:

Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

A:

Q: A ldentifcation. Tel whether the folowing sbligve triangle is Case , Case 2, Cae 3, Case4or Case…

A: The question is not clear

Q: in terms of x and y for the points (x, y) A5. (a) Use implicit differentiation to find that lie on…

A:

Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

A:

Q: Find dx in each of the following. dx2 x= e' cost b. y=e' sint a. y = t-1

A:

Q: Evaluate dx -31 x a,

A:

Q: The value of the triple integral I| 4xydV where E is the region 2x2 + 2y – 7 and pounded by z = z =…

A:

Q: The graph below is the function f(x) 4 -8 -7 -6 -5 -4 -3 /-2 -1 I 2 3 -2 -3 -4 -5- -7 lim f(æ) = x →…

A:

Q: cos'x dy 3 Cos Xよx (3x+2) %3D 子ー

A: Note :- This are multiple questions and according to our company guideline we can do maximum 1…

Q: (xSin 受)x x cas dy -y Cos X Cos

A: Thr solution is given in the next step.

Q: 3) Graph the function over the specified interval. Then use the simple area formula from geometry to…

A: SOLUTION: As per given data, f(x)=3 ;[a,x]=[1,x] We know that, if we integrate function between…