For each function, determine the long run behavior 22 +1 2² + 2 has (Select an answer 2 +1 has Select an answer 22 + 2 22 +1 has 7+2 Selet anymotote Herint mptte t y Horiental ymptote at yet Check Answer

Q: question 19.

A:

Q: Finc

A: Given matrix is: A=23402001-3 We have to find the eigen values and eigenvectors of the matrix A. Let...

Q: Please answer the Calculus 2 question below. Thank you!!

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It...

Q: dx 1-S 1-sinx

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining qu...

Q: (a) Media consultants for the new local magazine ITRave! have projected that the subscriptions will ...

A: The formula for the substitution method for definite integrals is given by ∫abf(g(x))g'(x)dx=∫g(a)g(...

Q: 1. ò -2 dx 2. Ò x“ dx 3. Ò 5Vx dx 4. Ò 3/F° dx 5. Ò (3x* +5x³)dx

A: Here we use integration in the following: 1) ∫-2 dx2)∫x14 dx3)∫5xdx4)∫3x43dx5)∫(3x4+5x3) dx

Q: Find the general antiderivative of the function. 8 – 3x + x3 f(x) 5x3 -3x-8 F(x) = (5x^3-3x-8)/(2x s...

A: Given :  fx=8-3x+x3x Therefore, f(x)=8.x-12-3.x12+x52. Anti derivative meaning is integrating the fu...

Q: Find the area of the region bounded by y^2 = 8x and y = 2x.

A: y2 =8x -----equation(1)y =2x -----equation(2) Squaring both side equation (2) ,we get y2 =4x2 Now ,w...

Q: Q8. Choose the letter of the correct answer

A: we have to choose the most appropriate partial fraction for the given integrand.∫22-12xx2(3x2-10x-8)...

Q: Solve the following equation: |2 – 3x| = 7

A: Given:  2-3x=7 To find: x

Q: Compute the area of the region in polar coordinates that is inside r=2 and outside r = 4 cos 0.

A: The graph will be

Q: show all work

A: Using basic integration...I have solved your question in detail ...hope you will get it easily...tha...

Q: COMPLETE SOLUTION

A: SOLUTION-

Q: Sketch the curve. Sketch the graph on the Cartesian plane first then on the polar grid.  r = 1 - cos...

A: graph on the Cartesian plane

Q: Find a positive angle less than 360° that is coterminal with the given angle. 630° A positive angle ...

A: Coterminal angle with 630° and less than 360°.  

Q: Evaluate the integral: V1+ 36x²dx

A: Use substitution method to solve the integral ∫x31+36x2dx. Since the integration is indefinite; a co...

Q: Find arc length, y=1/3 x3/2 - x1/2  ,(1,4)

A: Given function is, fx=13x32-x12   , 1,4 Let, fx=13x32-x12 Arc length: s=∫ab1+dydx2dx   First fin...

Q: xe* dx (x + 1)2

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to...

Q: Find the area of the region in the 1st quadrant bounded by y = x2 + 1, y = 1 – x², and x = 1.

A: Given the curves and lines y=x2+1, y=1-x2 and x=1 The figure of an area of the following region is s...

Q: hai may you please help me find the range of the following function? Thanks

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol bet...

Q: Evaluate the limit, using L 'Hopital 's Rule where it applies.

A: To evaluate the limit using L-hospital Rule. limx→9x12+x-6x32-27 Solution: It is 00 form. We know th...

Q: complete solution

A: Given,f(2)=3,g(3)=2,f(3)=4,and g(2)=5 To find:f[(fog)(3)] Solution: We know, (fog)(x)=f(g(x)) ⇒f[(fo...

Q: Calculate, as a function of k ≥ 2, the limits

A: Given: ck=limx→∞x2+kx-x2+x For evaluating given limit, we multiply and divide given expression with ...

Q: 4 Evaluate the expression 2i and write the result in 7i the form a + bi.

A: We have given expression -4-2i7i -4-2i7i = -4-2i7ix-7i-7i                  = 28i+14i2-49i2          ...

Q: (a) Integrate the following: 6. (i) (2Vx- 4) dx 1 (ii) 7-5x

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Which of the following are indeterminate forms and which are determinate forms? 0/0,  ∞/∞,  0/∞,  ∞/...

A: In calculus and other branches of mathematical analysis, limits involving an algebraic combination o...

Q: when the parameter is eliminated from the equations x=t/2, y=t^3-4x+1 the resulting equation is...

A: The parametric equations are the group of equations with one or more variables having one common dep...

Q: show mo reliable solution

A: To find: The derivative of y=cos-12x-13x+1. Formula used: Chain rule of derivative: fgx'=f'gx·g'x Qu...

Q: act values for the six trigonometric functions of the angle 0 in 132 17 our answer, including any ra...

A:

Q: Find the value of slopes of the curves at a given points:   x³+y-4 = 0 at P (2,-4)

A: The derivative of the function is equal to the slope, so we need to find dydx by isolating y on one ...

Q: Define the region bounded by y = 0, y=4Vx , y = 24 - 2x and y = X -4 using vertical and horizontal s...

A: The equations of the bounding sections are: y=0y=4xy=24-2xy=x-4 The equations are plotted on a graph...

Q: Calculus Question

A: The function is f(x)=2x(x2+1)2

Q: If z = 3x? + y? – 5y, find the differential dz. You should have variables dx, dy, y, and x in your a...

A:

Q: x -9 Using trigonometric substitution, what is dx ?

A: To find ∫x2-9x3dx

Q: critical point of the function f(, y) = 2xy+ x² + 2y².

A: Critical Points of 2xy+x2+2y2:  Critical points are points where the function is defined and its gra...

Q: Find the equation of the tangent line to y = 2x5 − 3x3 at the point where x = 0.7 , with coefficient...

A: Methods to find the equation of the tangent at a point helps to find the required answer to the prob...

Q: Find the volume of the solid generated by revolving the region between the parabola x = y² +1 and th...

A: Given Data: Curve 1: x=y2+1 ......(1) Curve 2: x=5 ......(2) The graph of the region enclosed by the...

Q: Find the equations of the lines tangent and normal to the curve given by the parametric equations x ...

A: The slope-point form of an equation for a point, x1,y1 and the slope, m is given by y-y1=mx-x1 and t...

Q: (1 point) Let f(x) = 6x² + 5. Evaluate f(-1+h) – f(-1) lim h (If the limit does not exist, enter "DN...

A: A function is a relation which maps each value in its domain to exactly one value in its range. A po...

Q: A pole 27 feet long is carried horizontally along a corridor 8 feet wide and into a second corridor ...

A: The diagram will be

Q: Find the solution of the differential equation dy dx = 5 x cos?(y) which satisfies the initial condi...

A: Given: dydx=5xcos2y For finding solution of given differential equation, we will use variable separa...

Q: Describe the graph of the given set C = { (x,  y) : x = √(t - 1) , y = √(1 - t) }

A: Given set is,C={(x,y):x=t-1,y=1-t}then,x2=t-1y2=1-tthen,x2+y2=t-1+1-t⇒x2+y2=0

Q: Please assist!

A: Surface Area with no top is area of all four sides and area of base, that is S=l×w+4×l×h , where sur...

Q: Help

A: The time taken by the bacteria to double its population is 4.5 hours. The initial population of the ...

Q: n²+3nt5

A: Given series is  ∑n=0∞n2-n+1n2+3n+5 where an=n2-n+1n2+3n+5

Q: Suppose $8000 is invested at 4% interest compounded continuously. How long will it take for the inve...

A: Given- P=$8000, r=4% and A=$16,000 To Find- The time that will it take for the above investment to g...

Q: Determine the values of æ where the function f (x) is not continuous. Label each discontinuity as re...

A: Givenf(x)=12x+3  x≤2x+1        x>2    To find x for which f is not continuous.

Q: How do we know when to use implicit differentiation?

A: Implicit differentiation is the procedure of differentiating an implicit equation with respect to th...

Q: Find the minimum AVERAGE cost, if the total cost function is given by C(x)=3x2+7x+7500

A: Given equation:-    C(x)=3x2+7x+7500 Then the Average cost is A= C(x)x C(x)=3x2x+7xx+7500x C(x) = 75...

Q: Find the inverse for the following function. -8 f(x) = x - 9

A: Given function is fx=-8x-9. To find the inverse of the function. Solution Steps of finding inverse f...

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.