What is the exact area bounded by the curve f (x) =- and the x-axis on the interval [1, 6]? Write the value in exact form. Do not write a decimal approximation. Write the exact number that completes this sentence. The area is square units. Do not use the equation editor to write the number.

Q: 10- 1,0 F1 10

A:

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 12 c...

A:

Q: 2 log, u - 3 log, 4 log, V -

A:

Q: x-2 ifx4 a. Find lim f(x). b. Find lim f(x). x3 X-4 Select the correct choice and, if necessary, fil...

A: Given query is to find indicated limits.

Q: P1. For each of the following infinite series: a) Determine n-th partial sum Sn b) Show whether the ...

A:

Q: Find the solution set of 5y-x=2 and x+y=1.

A:

Q: Evaluate S dx by letting u = x – 1. The given integral can be transformed to S h(u)du. If we evaluat...

A:

Q: „5/0 dz. Evaluate the integral Answer:

A:

Q: (a) If G(x) = 5x2 - x³, find G'(a) and use it to find equations of the tangent lines to the curve y ...

A:

Q: The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given...

A:

Q: Question 2 Let a be a real valued constant. Find the derivative with respect to x: Y = 4ae 1-4ae4z O...

A:

Q: Evaluate the following integrals using “Integration by Substitution

A: ∫z7(10z8-4)dzGiven that: 

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an answ...

A: We have to find limit Value on the basis of Given graph.

Q: 12) 39 12.6 В

A:

Q: For the function whose graph is given, state the value of each quantity, if it exists. If it does no...

A:

Q: E. Find the cartesian equation of the following:

A: Given that: 94sin(2θ)=r2

Q: 2 — х lim (x,y)→(2,–1) x³y³ – 2x²y³ 2.x2y3 .22,3

A:

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

A: Solve the given lpp  Minimize c= 0.3x+0.2y  0.1x+0.2y>=1  0.3x+0.15y>1.5  10x+10y>=80  x&gt...

Q: ose that in 1623, a man bought a diamond for $20. Suppose that the man had instead put the $20 in th...

A: Given query is to find the value of the amount in 2005.

Q: Let lim f(x)=9 and lim g(x)=27. Use the limit rules to find the following limit. X-3 X→3 f(x) lim f(...

A:

Q: Reduce to first order and solve 1> 2xy"= 3y' Cos n ii) xy"+ 2y'+zy = 0, Y, = ニ

A:

Q: write the slope-intercept forms of the equations of the lines through the given points •parallel to ...

A: Given: (a) Point:(-1,0);Line:y=-3(b) Point:(2,5);Line:x=4 

Q: If A = -ax + 6a, + 5az and B = ax + 2ay + 3ax find: (a ) the scalar projections of A on B, (two deci...

A:

Q: logbx = .36 logbz = .83

A:

Q: dt 4е-t — et

A: ∫14e-t-etdt=∫14et-etdt=∫et4-e2tdtlet  et=uthen∫et4-e2tdt=∫14-u2du

Q: The indicated function y,(x) is a solution of the given differential equation. Use reduction of orde...

A:

Q: Suppose the position of an object moving in a straight line is given by s(t) = 3t-: -7t-10. Find the...

A: We can find the answer as below.

Q: Solve the separable equation using the integral factor  Sinx dx + ydy = 0, when x=0, y=1

A: Topic:- application of integration

Q: Find the explicit solution to the initial value problem y′ +2y=e−x2−2x;y(0)=3.

A:

Q: show

A:

Q: Consider the function f(x) = Complete the table below and sketch its graph. |-2 -1 -0.5 -0.1 F(x) X ...

A:

Q: VE-Vyt1 Let f : ACR² →→ R be given by f(x, y) I-y-1 Write, if any, the limit below to 4 decimal plac...

A:

Q: Solve the equation. Write the solution set with the exact solutions. 8 log, (7p-5)-4= 28 If there is...

A:

Q: Evaluate the integral 3 sin(t)dt

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. S. Ve 3x – 16 3e *d...

A: Given:  1) ∫3e3xe3x-164dx   substitute u=e3x-16       dudx=3e3x→dx=e-3x3du      =∫1u4du       =∫u-14...

Q: Find the following using the table below. 1 2. f(x) f'(r) 4 2. 3 4 3 2 4 3. g'(x) 4 3. 1 h'(4) if h(...

A: Topic:- function and it's Derivatives

Q: 16x8 . 22) Find 22) x4 A) 8 x B) 4x4 C) V32 x2 D) 16 x3 23) f' (x) =(3 cot x - 2 csc x)'= [ By Linea...

A: In problem 22,we find out derivative of√(16x8/x4)

Q: Prove that the following integral can have any of the following 3 answers Ssen x cos x dx a) senx + ...

A: ∫sinx cosx dx multiply and divide by 21 2∫2sinx cosx dx=12∫sin2x dx    

Q: Q1. x= [5, -3, –1, 2]" is a 4-dimensional vector. Calculate the following values: 1. the squared l2-...

A: Given 4-D vector: x=[5,-3,-1,2]T We have to find the Norms of the vector. Norm is the magnitude of t...

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A:

Q: Calculate and at the points (7,41, 1) and (7, 41, – 1), where z is defined implicity by the equation...

A:

Q: Let " 12.5 9.5 12.5 f(x) dæ = 9, f(æ) dæ = 5, | f(x) dæ = 2. 8. 11 11 Find f(æ) dæ 9.5 9.5 | 9f(x) –...

A:

Q: sin z Differentiate y =

A:

Q: Use the Linear Approximation to estimate Af for f(x) = - when a = 2 and Ax = -. 5+x2 (Use decimal no...

A:

Q: Let f(x) be a function defined in an open interval containing 'a'. The derivatrive of th on f(x) at ...

A:

Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」

A: g(x)=a-3x,x<-2ax+3b,-2≤x≤14x+b,x>1  

Q: 3. In (cos)

A:

Q: a quadratic function f is given  f(x)=-4x^2-12x+1  a) express fin standard form  f(x)= b) find t...

A:

Q: # 8.) (8 # dy + Bernoulli s D.E, dx - 3xy2 dx =0> DET. THE GEN, soL'N OF THE D.E.

A: As we know that; The standard form of Bernoulli's equation is; dydx+Py=Qyn Where; P& Q is the fu...

Q: B. IDENTIFICATION, Determine if each function is continuous. If the function is not continuous, find...

A: Infinite discontinuity is  a type of discontinuity where one sided or both sided limit go towards in...