We are trying to prove the following limit. 1 Suppose that we have found a value of & such that e = . What numbers should go in the blanks such that the inequality 4 shown below is satisfied? Submit an exact answer for each of the blanks. Provide your answer below: lim (-x-7)= -7 x-0 <-x-7< D<-x-7 <0

Q: 1) Evalúe a) csch (In 3) b) cosh (0)

A:

Q: Solve the system by using any method. If a system does not have one unique solution, state whether…

A:

Q: Using an appropriate substitution, the integral [2e²+tane sec²0 de is equal to none of the other…

A:

Q: IF Y= 2x² + 5x dy and d = 4, find at when x = 3.

A: See this solution in below

Q: 2. A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of…

A: According to question,Volume of cylinder = 16π cm3

Q: If k> 0 such that k S x 8k dx = 7 then

A:

Q: - 1)n (n + 1)!) 3n!

A:

Q: or the graph below, identify a restricted domain for which the function has an -2 YA 8- 2- 0 -2- 2 6…

A: Topic:- calculus    Definition :-  The domain of a function f(x) is the set of all values for which…

Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 2n(ln(n))² 4n I = X Find the…

A:

Q: Find y' in y = (x³ 3x²(x²+e) x³ +3 A. y' = B. y' = C. y' = +3)(x²+e) +7x6 In (2³ + 3) +7x6 (x³ + 3)…

A: Understanding of derivative when function is there in power of any function.

Q: 6. Find the value of -1 √2-x² =[+1/²/² (x² + y²) dy dx + ***** ++ [ ₁²2= ² ( 2² + 1²³) dy dx √2-1²…

A:

Q: The price (in S) of a cookbook is determined by the number of cookbooks x demanded by consumers and…

A: In this question we have to find the solution of the given statement.

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: Given:    f''(x) = 4    f'(2) = 11    f(2) = 16

Q: 5. Evaluate 8y L L (PS4 12 dzdy + 1)² by reversing the order of integration.

A: Follow the procedure given below.

Q: If 3x² + 5x + xy = 1 and y(1) = -7, find y'(1) by implicit differentiation.

A: We can find the answer as below.

Q: Using tabular integration, the integral In 2 S™ (-2x + 1)e²x dx is equal to

A:

Q: Use the table to find lim f(x) z 3 X 2 2.9 2.99 3 3.01 3.1 4 f(x) 6 7.8 7.99 7 8.02 8.1 11

A: Topic:- application of calculus

Q: 2. Find the power series solution of dy dx + y = 0 about the point x(0) = 0

A:

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

A: A detailed solution is given below.

Q: Find the radius of convergence, R, of the series. R = 8 Σ n=1 I = xn 135.. (2n-1) Find the interval,…

A: We have to find the radius of convergence, R, of the series ∑n=1∞ xn1·3·5· ⋯ · 2n-1. Also we have to…

Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

A:

Q: Determine whether the following series converges. Justify your answer. Σ k=1 k! K+14

A: This is a problem related to series and sum calculator. Please follow the procedure given below.

Q: ! The derivative with respect to x of the function sec y where y = sec ¹ (2* cot¹x) is sec(2* cot¯¹…

A:

Q: Find the volume of the solid that results when the region enclosed by y = √√√x, y = 0, and x - NOTE:…

A: Understanding of volume of solid after revolution is required to solve these problem.

Q: A vendor at a carnival sells cotton candy and caramel apples for $2 each. The vendor is charged $175…

A:

Q: Evaluate f'(x) if f(x): O f'(x) = f'(x) = O f'(x) = = O f'(x) - 2 x + 2 x + 1 + 3 x + 2 6(x + 1)(x +…

A: We know that ddxuv = v·ddxu - u·ddxvv2       (division rule) ddxu·v = u·ddxv + v·ddxu      (product…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: You are a corporate attorney who earns $300 for each hour you work. You want a vegan poutine. The…

A:

Q: if x - 5 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x) =…

A: This is a basic limit problem

Q: A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the…

A: We can solve as follows

Q: 3. The following is an incorrect solution to evaluating the integral of dx/(1 + 4x^2)^3/2 . Set x =…

A:

Q: 5. Determine the minimum and maximum values for y = 250(0.90)* for 0 ≤ x ≤ 6.

A: Given data y=2500.90x   To find maxima and minima we need to find critical points by equating dydx=0…

Q: Evaluate the limit: lim 2-8 x² - 12x + 32 2-8

A:

Q: termine whether the following is convergent or

A: Please refer to the image below

Q: 0302 1 0 01 0 0 2 03 0 0 0 1 2 1 -1002 2 a b C d 0(6+1)el 2 = 1 0

A: Given :0302110002010300121010020abcd7e=12101

Q: The profit P for a company is P = 100xe-x/650,where x is sales. Approximate, using differentials,…

A: Calculate the profit at these two points then do the further process.

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: Consider the graph of the function

Q: The photic zone of the ocean is also known as the sunlight layer. It is the region in which phyto-…

A: This is a problem related to variation in photon emission curve. Please follow the general procedure…

Q: How did he get the value inside the circle by ===//= √xlt) sin (nwot) dit bn cl 11 2 (= (₁-7) Sin…

A:

Q: Calculate the iterated integral. 3 [² [² (6x²y - 3x) dy dx Show My Work (Optional) Submit Answer

A:

Q: Find the differential dy of the given function. y = x cos 2x dy Submit Anguer X

A:

Q: Find y' in y=sin¹ (5x5+2x) + Tan-¹ (x²) 1 1 1+x² -(5x5+2x)² A. y' B. y' C. y' D. y' = = 25x¹+2…

A: Given:y=sin-1(5x5+2x)+tan-1(x2)       y'=dydx=dsin-1(5x5+2x)+tan-1(x2)dx…

Q: 2x²+5 1. Answer the questions below and then graph the rational function: f(x) = x²+x-2 a. Vertical…

A: To find out the vertical asymptote, vertical asymptotes and also make the graph.

Q: Question 13: Find the derivative of: y = 7e8x ln(3-9x6)

A:

Q: & 5 im 4 32 1 -2 0-3 -4 im →-1- f(x) = f(x) = _m f(x) -1 - − 1) =

A: Topic:- calculus

Q: Rewrite the expression in the form k. xn. 12√x 4x³

A: Understanding of basics of algebra is required to understand this.

Q: Find the directional derivative of the function at P in the direction of Q. g(x, y, z) = xye⁹², P(2,…

A: Given :gx,y,z=xye9zP2,2,0, Q0,0,0

Q: x+4y=3 2 -4 =Z-4

A: parametric equation is :    x= -4+2t , y=3-4t , z=4+t

Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 1 I = 1 3 5 xn ..... (2n-1) Find the…

A:

Q: 1.3 domain: What is the domain of y = ln (x² - x - 6)? help (inequalities)

A: The function is  y=ln(x2-x-6)