Q: The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate same number of…
A:
Q: The area A of a square with radius r is given by the formula A = ². What is the ate of change of the…
A: .we are asked to find the rate of change of area of the square.
Q: Find lim lim h→0 h→0 f(5+h)-f(5) h f(5+h)-f(5) h = if f(x)=x² +5. (Simplify your answer.) ...
A:
Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…
A:
Q: Find the value of the limit lim 01 0 0 O DNE x3 x+0 x³ + x2 < Previous
A: On solving this we will get
Q: Let f(x) = 5x²-29x-6 x² +19x 150 (A) lim f(x) X-6 Find the indicated quantities, if they exist. (B)…
A:
Q: 4. Graph the equation: f(x) = -3, 4, 1/² x + 1²/₁ x<-2 -2 ≤ x ≤ 1 1 < x≤ 4 -3 - 5+ 4+ 1 + 3+ 2+ 1…
A: f(x) = -3 , x < - 2 x -3 -5 -7 f(x) -3 -3 -3 f(x) = 4 , -2 ≤ x ≤ 1 x -2 0 1 f(x) 4 4…
Q: Question 2 What is the value of lim x-0 O-6 o too 00 x² x +9-3 ?
A: We need to find here limit of our function. We can find value of limit by first rationalizing the…
Q: What is the first derivative of f(x) = √√x² + 2x − 1?
A: Given the function, fx=x2+2x-1
Q: A rectangle has an area of 133 cm² and a perimeter of 52 cm. What are its dimensions? Its length is…
A:
Q: Write The Green's Theorem in the plane relating double integrals and line integrals. (Please, don't…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: 1: Evaluate the integral 3x - 1 (x + 4)(2x - 1) I -dx.
A:
Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3)…
A:
Q: +00 (-1)" n100 4" Determine whether the series Στα or divergent. Series is conditionally convergent.…
A:
Q: 4 Use the substitution z +9=u² to evaluate √√+9
A: Note: Since, the student has asked to solve only question no. 4, so we are solving accordingly…
Q: Which value is the average rate of change for f(x) = √x + 1 o the interval (0,3)? 13 0 -1 -3 3
A:
Q: Find ¹ d dx 1.8 √x -4,2x²2 +7x).
A:
Q: dy/dx+(2/x)ydx=3dx
A:
Q: Find the derivative of the function y = arctan x + x 1+x²
A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2 ..........1ddxuv=vdudx-udvdxv2…
Q: If f (t)=tan³ (2πt), then f' (t) = Ortan² (2nt) sec² (2πt) Otan² (2nt) sec² (2nt) O 2π tan² (2πt)…
A: using chain re of derivative,
Q: 2 +81 1/s(3² +9) ²0 ds
A: The given integral is (s4+81)/[s(s2+9)].
Q: Suppose f(x) √₂+² = √1+tdt 2x find f'(1).
A:
Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…
A: A spotlight on the ground shines on a wall 12m away.A man 2m tall walks from the spotlight towards…
Q: —— Solve given differential equation 2(xdy+ydx)+3x2dx=0; when x=1 y=2
A: Here, the given DE is: 2(xdy+ydx)+3x2dx=0⇒2x dy+2ydx+3x2dx=0 Dividing it by 2x dx we have:…
Q: ollars) t months from now are given by S(t) = 0.05t3 +0.71² + 2t + 5. es). 5. ...
A:
Q: 11. Determine whether the given quadratic function has a maximum value or a minimum value, and then…
A:
Q: A pen manufacturer determined that the total cost in dollars of producing x dozen pens in one day is…
A:
Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…
A: we can find the particular solution.
Q: A ABCD is the parallelogram shown above. a) AC = BC + CD C Express AC in terms of any other vectors.…
A: We have to find out the diagonal
Q: Find the general solution for the differential equation: (2xy²-2y)dx+(3x²y-4x)dy=0
A: Given :(2xy2-2y)dx+(3x2y-4x)dy=0
Q: Determine the area of the shaded region in the following figure. The area of the shaded region is…
A: We have to find area
Q: Given: f(x) = 02 01/201 O 3 4x + 1 if a . I→(1/2)*
A:
Q: Evaluate the integral using the following values. [³x³ dx = [²x dx x³ dx = 1,020, Lºx dx = 30, [³dx…
A: use the property of definite integral.
Q: Let f(x) = x + 1/2 On which interval is f decreasing? ○ (0, 1) ○ (-1,1) ○ (-2,0) ○ (-∞0, 0)
A:
Q: Use polynomial division to express the following rational functions as a quotient plus a rational…
A: We can find the answer as below.
Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = 5 f'(x) =…
A:
Q: Find the area of the region bounded by the graphs of the equations. y = 5 + √√x, x=0, x=8, y = 0 59…
A: Given below figure is the required region whose area to be find.Area of teh region is calculate by…
Q: Find each limit. Use oo or ∞o when appropriate. 2x - 10 (x-10)² (A) lim f(x) X-10 f(x) = (B) lim…
A:
Q: If f" (x) = x(x + 1)(x - 2)2, then the graph of f has inflection points when a =? -1 and 2 only -1…
A: Given that f''(x)=xx+1x-22
Q: 3. f Arctany dy 4. fx(2x - 1)'dx 5. fycsc²ycoty dy 6. fxsin4xcos4x dx
A: The given integrals are; 5) y csc2y coty 6) x sin4x cos4x.
Q: Solve given differential equation - ydx-xdy=y3dx+y2xdy; when x=2, y=4
A: The objective of the question is solve the differential equation at particular value.
Q: 8. xe dx dy 0-2
A:
Q: The domain of the function f(x, y) = 3xy 2+√4x2+y2-16 is:
A: Given problem:- fx,y=3xy2+4x2+y2-16 To find:- Domain of f(x,y)
Q: Find B in the partial fraction decomposition: 0-170 6 O 16 O 0 - 11 O - 5 6 none x²+2x+7 x3-10x2+21x…
A:
Q: 3. Evaluate tan¹x² 1+x dx.
A:
Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…
A: Concept: Using Left Riemann Sums and Non-Uniform Partitions, a Process for Approximating Definable…
Q: r(t) = ti + (2tt2) intersect the paraboloid (2) At what points does the curve r(t) z = x² + y²?
A: We are asked to find the intersection point.
Q: A) Find the first five partial sums of the given two series and determine whether they appear to be…
A: Let's find partial sum.
Q: If we use the trigonometric substitution sec(x) 5 then we get t = √25t² - 1=tan(x) Select one: O…
A:
Q: Determine the vector equation that represents the curve of intersection between the cylinder 2¹² +…
A:
TYPEWRITTEN ONLY PLEASE. ILL UPVOTE ONLY IF TYPEWRITTEN, COMPLETE, AND CORRECT. DONT ANSWER IF YOU ALREADY ANSWERED THIS, ILL DOWNVOTE. THANK YOU
Step by step
Solved in 2 steps with 2 images
- A sequence is a function whose domain is ____________.Use explicit formulas to give two examples of geometric sequences whose 7thterms are 1024.Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 65. List the first four terms of the sequence. an=5.7n+0.275(n1)
- Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 66. List the first six terms of the sequence an=n!nFollow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n• In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of nthat ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 63. List the first six terms of the sequence. an=n33.5n2+4.1n1.52.4n
