x-2 3. Evaluate the integral S (t3 In t i + 3t³ sin (t*) j+ x(x+1) k) dt.

Q: imination of arbitrary constants = cjxe2* + cze¯*

A: Please refer to the image below

Q: If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 50 minutes, then ...

A:  Given:         V=45001-150t2 0≤t≤50     the rate at which water is draining is given by      dVdt=d...

Q: dx Evaluate: V1-u? O T/6 O none of the choices O T/2 O T/3

A:

Q: Find the first derivative of the following functions. Simplify results. Use differentiaion formula.

A: Formula: Derivative of u/v = (u'v-uv') /v2  

Q: ydx + 2(y4-x)dy=0

A:

Q: { 2x x< 6 g (x) = I-1 x 6 (a) x = 4 (b) r 6

A:

Q: Find an equation for the line tangent to the graph of  F(x)=6xe^x at the point (a,f(a)) for a =3 ...

A:

Q: dy Use implicit differentiation to find dx 4 3 x'+y = 3x+ 6y` dy dx (Type an exact answer, using rad...

A:

Q: If s(t) = 8t = 12t – 48t + 5, represent the position of a particle traveling along a horizontal line...

A:

Q: Obtain the solution using Integrating Factors Found by Formulas a.)  xydx − (x2 + 2y2)dy = 0

A: I am attaching image so that you understand each and every step.

Q: Evaluate the Integral dz 1. S z²+4z ANSWER: 1. - In + C 4 |z+4

A:

Q: Use sigma notation to write the Maclaurin’s series for the function f(x) = x cosx  Pls write comple...

A:

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few t...

A: Reciprocal of given sequence in in Arithmetic Progression(AP). So, write nth term of AP and then tak...

Q: dy 9. Use implicit differentiation to find dx (a) x?y? = y3 +e2¤ (b) cos(x + y) = x sin 2y

A: Given: 9) a) x2y2=y3+e2x   differentiating on both sides       ddxx2y2=ddxy3+e2x Apply product rule:...

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A:

Q: Using the remainder theorem  determine whether (x-4) and (x-1) are factors of the expression x3+3x2-...

A:

Q: Which equation below represents a secant graph with a yertical shift of 3? ay--sec(3(x)) c. y=3 sec(...

A:

Q: The graph shows the megawatts of electricity used on one day in one city. 2500- 2400- 2300- 2200- 51...

A:

Q: S tan-3 (x) sec² x dx

A:

Q: Let C(x) represent the cost of producing x items and p(x) be the sale price per item if x items are ...

A:

Q: A ball is thrown downward with a speed of 19 ft/s from the top of a 361-foot-tall building. After t ...

A:

Q: 4x + 1 Find a value of x, if any, at which f (x) = is not continuous. 16x + 8x + 5 Enter your answer...

A:

Q: Evaluate the following limits using the limit theorems. Show your solutions. 1. lim (4x – 7) X-0 2. ...

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 5t³ – 12t...

A: The objective of the question is determine the velocity , acceleration and acceleration when velocit...

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t- 9t me...

A:

Q: x³ + 5 dx x4 – x3 + x²

A:

Q: :cos(-플x- 글) + 2. y = = COS

A: Amplitude : 1 Period       : 4

Q: derivative

A: We will find the derivative. 

Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

A: We need to test convergence. NOTE - As per our guidelines we can solve only one question from multip...

Q: Find the derivative using the formula f'(x)= g'h + gh' 1. cos x cot x Let g= cos x, and h= tan x. ...

A:

Q: X-2 if x s0 2. Draw a sketch of the graph of the function f(x) = - and evaluate the following limits...

A:

Q: In Exercises 1–18, find dy/dx. cos x 1 + sin x 12. y = cos x 14. у — cos x

A: As per Bartleby's guidelines. we are allowed to solve only 1 question at a time. Apologies for the i...

Q: 2x2-13x+20 d) h(x)= (x-1)²

A:

Q: Let f be function such that F(1)=6  and F'(1)=-11 Find h′(1) for the function h(x)=f(x)f(x) h'(1)...

A:  

Q: ) y= tanx+ sin x 0<x<27 (k) y=sinx -2n Sx< 2n

A:

Q: cose = +V(sin?0 - 1) O +V(1 + sin?e) O +V(1 - sin?e)

A:

Q: cot2 x – cos2 x = ________ cos 2 x sin 2 x sin 2 x cot 2 x sin 2 x tan 2 x cos 2 x cot 2 x

A:

Q: sin x 1+ cosx 1+ cosx + sin x 2cscx 2secx 01

A:

Q: Closure Find the exact value. 1. cos165°

A:

Q: If s(t) = 10t3 – 15t2 – 60t + 6, represent the position of a particle traveling along a horizontal l...

A:

Q: frined the ivnlervels on which Revee Hincreasig and elecceesing 2)Confaveue emel Concave lown end he...

A:

Q: a) Consider the surface z = Find the tangent plane to the 3. surface at the point (4, 3, 5). (4.04)3...

A:

Q: If f(x) is a differentiable function, and n is a rational number, then Sf(x)" f'(x)dx = L4)"+1 +c n+...

A:

Q: 96 95 4 y3 y2 y1 ye x8 x1 x2 x3 x4 x5 x6 (a) Write an expression involving the values of æ and y = f...

A:

Q: Use Integration by partial fractions 8x2 + 8x + 2 Edx

A: Integral

Q: a. Determine an equation of the tangent line and the normal line at the given point on the curve. b....

A:

Q: Exercise: Show that x vzdA = Qdx2 Therefore, we have x vidA+ V x VzdA = |_ Pdx1 + Qdra = ▼ × vdA = ·...

A:

Q: Find the general Selution yer r the equatiJen S/0x)-14 ()+ 0 By(x) = =D0 dlax

A:

Q: sin x 1+ cosx 1+ cosx sin x 2cscx 2secx 01

A:

Q: Carry out the following steps. a. Verify that the given point lies on the curve. b. Determine an equ...

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.