Verify whether the funchion fle) - e sinx-ieCse is entire or not, analytic . 2. Show that funchion fle) = xy+ iy is nowhare enalytical-

Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim (10x'+7x 6x-4 X00...

A: The given limit is limx→∞10x3+7x26x3-4. The limit is of the form ∞∞. Thus, apply the L'Hopital's rul...

Q: Use a graphing utility to graph the region bounded by the graphs of the functions f(x) = 1 / (1 + x2...

A: fx=11+x2, gx=12x2 a). The graph is,

Q: Q10

A:

Q: Find the values of x for which the series converges and find the sum

A:

Q: (b) g(x) = log3(x + 3) Sketch the graph. y 10 y 10 5 -2 4 6. 8 10 -10 -5 10 -5 -5 -10 -10

A: Consider the given function gx=log3x+3

Q: Maximize Z = 2x1 + x2 – 2x3 - Subject to -2xı + x2 + x3 2 -2 - x1 + x2 - x3 2 –4 X1 +x2 + 2x356 X1,X...

A: Given: Maximize Z=2x1+x2-2x3 Subject to constraints -2x1+x2+x3≥-2        ......(A) -x1+x2-x3≥-4     ...

Q: Find the point P on the graph of the function y = yx closest to the point (4,0 The x coordinate of P...

A: Given that, graph of function  y=x   We have to find Point P on y which is closest to (4,0)  

Q: Calculate the derivative of the function y=6x100+7x50+8x.

A: To calculate the derivative of the function y=6x100+7x50+8x

Q: Use the graph of the rational function in the figure given (see attached) to complete the statement ...

A: We have to find limit of fx when x→1-.

Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the b...

A:

Q: Find the derivative of the following function

A: Let the given function be - y = 5x + tan-11xDifferentiating on both sides with respect to x - dydx =...

Q: Given that  1   0 x dx =  1 2 ,  1   0 x2 dx =  1 3 ,  and  ...

A: Given that: ∫01x dx=12, ∫01x2 dx=13,∫01x3 dx=14 To find: ∫01(1-2x)3 dx

Q: Evaluate the integrals:

A: Integration: ∫sect dt=ln|sec t +tan t|+c∫u.v dx=u.∫v dx -∫[ddx(u).∫v dx]dx   [ by parts]

Q: Section 12.8 - Maximum/Minimum Problems

A: The function is given as, fx,y=ex2y2-2xy2+y2 Differentiate w.r.t. x, ∂f∂x=∂∂xex2y2-2xy2+y2=1ex2y2-2x...

Q: Use Newton's method with initial approximation  x1 = −2  to find x2, the second approximation to the...

A: Newton's method is based on the assumption that the graph of f and the tangent line at (x1, fx1) , b...

Q: Give solution

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: Complete the table for a savings account in which interest is compounded continuously. Initial Inven...

A: The initial investment is $1000 and the annual rate is 12%. The interested is compounded annually.  

Q: Find the taylor series around a. 1) f(x)=sinx   a=pi/2 2) g(x)=lnx   a=3, 3) h(x)=cosx   a=pi

A: Note: (Since you have asked multiple questions, we will solve the first question for you. If youwant...

Q: Warm-up 11/5/2020 MAMD.M.D.1A: You toss a coin without looking at the board to the right of this que...

A: Given that i toss a coin without looking at the board. We need to find the probability of a coin lan...

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions as, Center: ...

A: Center of the hyperbola is -2, 1, focus is -2, 6 and the vertex is -2, 4. Now the center is, h, k=-2...

Q: #22 Convergent? Why?

A:

Q: Evaluate the following limit. Use l’Hôpital’s Rule when it is convenient and applicable.

A: limx→∞x2-x4+16x2Multiply and Divide by x2+x4+16x2⇒limx→∞x2-x4+16x2*x2+x4+16x2x2+x4+16x2⇒limx→∞x4-(x4...

Q: Show the complete solution and explain it

A:

Q: A ball on a spring is pulled 6 inches below its rest position and then released. The period for the ...

A: we have been given that the a ball on a spring is pulled 6 inches below its rest position and then r...

Q: P=12 N=6

A: fx=Px-P2x2+N Put P=12 & N=6, we get fx=12x-122x2+6⇒fx=12x-144x2+6 Now differentiating with respe...

Q: Use the given conditions to write an equation for the line in point-slope form and slope-intercept f...

A: Given: Point (-3,2) and slope -6  

Q: What is a power series? How do you test a power series for convergence? What are the possible outcom...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: If f(t) = 4t4 – 2t + 4e*, find f'(t).

A: Given function is ft=4t4-2t+4et

Q: Find ∫cosh 2x sinh2 2x dx.

A: To find the value of the integral∫cosh2xsinh22xdx

Q: Solve: √2xy dy/dx =1, given y=1 when x=1

A:

Q: 5-6 - Component Form of a Vector A description of a vector is given. Express the vector in component...

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

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.)r = 4 sin(?...

A: The polar equation is Converting to polar form,Multiplying both sides by r, we getWe know that 

Q: 9) Use the second Derivative Test to find all relative extrema. -(x + 2)°(x – 4)? 1 f( x) =

A:

Q: cetch the graph f(x) =

A: The given function is  fx=-3-x2. To draw the graph by not plotting points and by drawing from basic ...

Q: State whether each of the following limit forms is indeterminate. Where possible, state the limit. (...

A: An indeterminate form is an expression involving two functions whose limit cannot be determined sole...

Q: Find the exact value of the expression. (а) 10log(81) (b) In(e?) (c) log3(v 27) (d) log2(40) – log2(...

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts f...

Q: Evaluate the limit, using L’Hôpital’s Rule if necessary

A: Given- limx→∞xx2+1 To find- The value of the limit. Concept used- The above limit expression can be ...

Q: Write English phrase as an algebraic expression. Then simplify the expression. Let x represent the n...

A: A number decreased by the difference between eight and the number.

Q: Determine how many terms of the following convergent series must be summed to be sure that the remai...

A: Since we know that, Error=Rn≤an+1 Where an+1 is a magnitude of (n+1)th term in the sequence.

Q: Find the limit. Use l'Hospital's Rule if appropriate. Use INF to represent positive infinity, NINF f...

A: Given:  limx→0+9xlnx

Q: Find the derivative of the following function: 5. sin° (cos(x))

A: Consider the given function y=x5·sin5cosx

Q: Sketch the graph of each function, and state its domain, range, and asymptote. Show the x- and y-int...

A:

Q: A village wishes to measure the quantity of water that is piped to a factory during a typical mornin...

A: Given :         A gauge on the water line gives the flow rate (in cubic meters per hour) at any inst...

Q: What is ln(-3)? Explain.

A: We  have given ln-3. We know that lnx is defined if x>0. Domain of lnx is (0,∞). Therefore, input...

Q: Evaluate the following integral: SIn (xº +x³ ) dx

A: Given :        ∫ln x6+x5 dx