Find the limit. NOTE: Enter the answer using round brackets. t2 +7 1 lim t+ 6t2 + 7' 5t (?, ?)

Q: Calculate the limit, if it exists, 5 lim x→7 (7-x)

A: On solving this we will get

Q: d²u A particular solution of the differential equation du - 2u=3e2t – 18e-tis dt? dt Select the…

A: Particular solution

Q: Question 1 If z=lm/x*+ y² + un /x²+y²+-tan 12 then the numerical value of dy? dx2 is equal to...-

A:

Q: 11. Use the definition of the derivative to find f'(x) for the function f(x) = x2 + x + 2. Show your…

A: We have to find the derivative of the given function.

Q: Evaluate the indicated function for f(x) = x² - 1 and g(x) = x - 3 algebraically. If possible, use a…

A:

Q: xdy+ydx=xcasx-dx-

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

Q: dy find .2. 4 If y= 2x+ at x= 1. dx dy at x = 1 is The value of (Simplify your answer.)

A:

Q: Solve the system of differential equation if two connected tanks as tank-1 contains 800 gal of water…

A: We have demonstrated the given information for the ease of better understanding  Let us assume that…

Q: Find the slope of the tangent line to the curve la? + 4xy – 2y = 185 at the point (- 3, - 4).

A:

Q: For the given cost function C(x) 22500 + 600x + x², First, find the average cost function. Use it to…

A: For the given cost function Cx=22500+600x+x2, First, to find the average cost function. Then by…

Q: POS jma- 3 d 1 sin t dt %3| dx 1 1 (A) – x sin(x²) (B) sin(x²) (C) x sin(x²) (D) –sin(x²) ов O O O O

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Follow the procedure given below.

Q: 0 (x-2)k 2k=1 Vk 00

A:

Q: A point P(x, y) moves along the graph of the equation y = x+ x2 + 1. The x-values are changing at…

A: To find , how fast are the y- value changing at the point Q(1,3).

Q: )Lim. 2. H-HCOSX-2Sin x

A:

Q: Question * Suppose X, Y are two discrete random variables with probability function given by: Y \ X…

A: Given

Q: The equation y = log(x – 3) has a vertical asymptote at: X =

A: The graph of log(f(x)) has a vertical asymptote at the value of x such that f(x)=0.Example: for…

Q: Use implicit differentiation to find the equation of the tangent line to the curve xy + xy = 18 at…

A: We can solve this as follows:

Q: dt F(x) = | 6+ 8t Find the interval on which the curve is concave downward.

A:

Q: Test the series below for convergence using the Ratio Test. 4 0.5" T=D1 The limit of the ratio test…

A: Given query is to applied ratio test.

Q: Assume that all constants are positive and not equal to 1. 7" = 6 Hint

A: Given query is to find write the expression in logarithmic form.

Q: ................................................................ .......... ....................…

A: Find time t. Given rate r=12% Compounde interest formula A=P(1+r/n)nt Amount = 2P

Q: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

A: We will use Numerical divided differences method to find the first derivative at x=2.

Q: 00 E(-1)ª-1. 3 Jerror| < 0.0007 n=1

A:

Q: A 25-year-old woman burns 600t cal/hr while walking on her treadmill. How many calories are burned…

A: Given  Amount of calories burn per hour = 600t

Q: Given h(x) = tan -1 ), find h'(x). 2 4 A) sec 2 sec (B) 4 +x² (C) 4 +x2 (D)

A:

Q: 4. Use synthetic division to show that c is a zero of the given polynomial function. a. P(x) =x'-4x²…

A: a. P(x)=x^3-4x^2+5x-2 At c =2 Hence by synthetic devision 2| 1  -4    5    -2    =&gt; coefficient…

Q: Find the slope of the tangent line to the curve - 32 + 2ry-y = 0 at the point ( 1, – 1).

A:

Q: 1. Consider the graph of y f(z) below. State the value of each of the following. You do not need to…

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. (for saddle points,…

A:

Q: 9. f(x) = (x² + 3x + 1)100 %3D

A:

Q: Determine whether converges or diverges. If it converges, find the sum. Paragraph U - Ay + v ...…

A: We have to find out sum

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. e2x –…

A: Solving the problem by finding the value of x.

Q: Use long division of pol

A:

Q: 10. f(x) = x² + x + %3D 1 x2

A: Derivate both side with respect to x

Q: (b) f(x)= e²**1 at P (In 2, 4e) 2.x+1 3De

A:

Q: Question 9 > A 25-year-old woman burns 800t cal/hr while walking on her treadmill. How many calories…

A: Solution: Given  Function of calories are  burned= 800t cal/hr  So for 3 hrs  t=3 So calories burned…

Q: Given the vector field F = (z,x, y), calculate the flux of the curl of F through the portion of the…

A: Given

Q: ( 2x + 6 x -2 Enter DNE if the limit does not exist. a) lim g(x) = X--2 b) lim g(x) = X--2* c) lim…

A:

Q: dy Given the equation below, find dx 39x + 10ay + y° – 28 = -

A:

Q: 7.4 Partial Fractions 11.10 Taylor and Maclaurin Series Find the Taylor series for f(x) centered at…

A: We are given f(x) = 8x - 3x3 We have to find taylor's series expansion of f(x) centered at a=-2 and…

Q: Example 9 Video Example4) Evaluate the integral. In(x) dx Solution dx occurs in the integral. When x…

A: Given query is to find the value of the integral.

Q: Select the graph of the function. f(x) = In(x+9)

A: Given function, f(x) = ln(x+9) To be found : correct graph of function

Q: 4 E(-1)" sin n=1

A:

Q: In 2 10e a 4.

A:

Q: a) Determine the position function, s(t), of an object if the acceleration function of the object is…

A:

Q: X-axis. Consider the points P(3,0, 1), Q(5, –1,2), R(5, 1, – 1), and S(0, 4, 2). (a) Find the area…

A:

Q: Graph the function. f(x) = 3*

A:

Q: Let y tan(4x + 3). Find the differential dy when z = 3 and dx = 0.1 Find the differential dy when r…

A: y=tan4x+3

Q: oduct sold the first year. (a) Complete the model by solving for k. (Round your answer to four…

A: Given