Solve the following integration :- 6 dx | (X-4)(+7)

Q: Find the orthogonal trajectories of the family of curves y² = kx³

A:

Q: Rewrite the given scalar equation as a first-order system in normal form. Express the system in the…

A:

Q: Evaluate the following integral. Š 12x - 61 dx

A:

Q: A sports watch has a price-demand equation given by p = D(x) = 50.2-0.0567142x dollars, which gives…

A: I have appended the formula used in solution procedures

Q: 1 Evalvate the following integrals (use method of integration by parts): 2 (₁) S (sinth) ² dre

A:

Q: The velocity graph of a braking car is shown. Use it to estimate the distance, d traveled by the car…

A:

Q: Compute the line integral [(x+y)dx-xdy, where C is the arc of the parabola y = x² +1 that goes from…

A:

Q: If f(x)=sinx+ 2 cosx-x, find / (1)

A:

Q: Use the Root Test to determine whether the series convergent or divergent. 5n 2n Σ (-20) ³ n+ 1 n =…

A:

Q: Find the future value P of the amount Po= $200,000 invested for time period t = 9 years at interest…

A: To find the future value P of the amount invested for time period years at interest rate…

Q: Use upper and lower sums to approximate the area of the region using the given number of subinterval…

A: finding the area using upper sum and lower sum.

Q: Evaluate by interpreting as the area of a geometric figure (draw the figure and use geometric…

A:

Q: d). 1 0 0 0 1 6 -6 » e). 10 11 017 f). 10-5 01 1 0 1 000

A: Row echelon formA matrix is said to be in row echelon form ifi) All rows have zero at the bottom ii)…

Q: Kevin needs to find the length of the arc of the given curve. He is struggling. Please help him by…

A: given curve

Q: Find the volume formed by rotating the region enclosed by: 3 6.9y and y = x with y ≥ 0 X = about the…

A: given function

Q: 0-5-5 x'(t) = -5 0-5 x(t). x( -5 -5 0

A: We have to solve the given initial value problem.

Q: f(x) = = x²-7x-8 x-4 For each entry, enter a single number. First Number: The smallest x-intercept…

A:

Q: 13. If lim f(x) = lim g(x) = + ∞o and f'(x) = 1 and g'(x) = ex, what is lim 818 x480 x → ∞ g(x) A.…

A:

Q: For t> 0 hours, let r(t) = 120 (1 - e 5 liters/hour hour, at which a car travels along a straight…

A:

Q: You are given the following pieces of information: 43 f (x) dx = -39, What is the value of 27 ² f…

A:

Q: Find the x-coordinate of the point on curve y=In(2x²-11x) where the tangent line is horizontal. Just…

A: The objective of the question is to find the x-coordinate of the point on the curve y=ln(2x^2-11x)…

Q: Check Answer/Save Find a(t): Step-By-Step Example Live Help Answer format: Enter the value (for…

A:

Q: Yesterday's closing prices of 2,420 different sto listed on a certain stock exchange were all…

A: The objective of the question is to find out the number of stocks that closed at a higher price…

Q: An​ open-top cylindrical container is to have a volume 216 cm3. What dimensions​ (radius and​…

A: The objective of this question is to find the dimensions (radius and height) of an open-top…

Q: II. Differentials Recall, the DERIVATIVE values represent SLOPE values on a given function. Slope =…

A: A derivative of a function is a representation of the rate of change of one variable in relation to…

Q: Question 4.21) Evaluate the following limits. sin² (1)-1 A) lim 1->8/2 1-4 B) lim x-0 1-cos(2x) x²…

A:

Q: 2. Determine the value of the discriminant for the quadratic equation y = 1.4x² - 6x +5 and use that…

A: we are given the quadratic equation and we need to find its discriminant.

Q: Let G be a function whose derivative is shown below. Assume the domains of G and G'are 0 ≤ x ≤ 12. 8…

A: We have given a graph of G'(x) in the interval . We have to find the value of G( 6) and coordinates…

Q: person is given an injection of 300 milligrams of penicillin at time t = 0. Let f(t) be the amount…

A:

Q: Question 4 Find the expression for the exact area of the surface obtained by rotating the curve…

A:

Q: Apply the substitution using steps 1 and 2 and rewrite the integral in terms of 0 4 -[(1 cos eX(+/5…

A: We have to apply the substitution using step 1 and 2 and rewrite the integral in terms of…

Q: Consider the point whose Cartesian coordinates are (-1, –1,1) What are its cylindrical coordinates?…

A:

Q: Set up the integral that computes the volume of the region W in R³ bounded by the surfaces z = 0, x…

A:

Q: ! (Gr="1) lim (1+ x-0 (x − 1)² 1 √1 + x – 1

A: To find:-

Q: LESSON 15: HOMOGENOUS SECOND ORDER LINEAR DE 1. Given c) Solve the IVP if d) Solve the IVP if y(0) =…

A: The given differential equation is

Q: Find the antiderivtive: /102³-52² +7 x6 -dx = + C

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: A 4.6 ft tall man is walking away from a 28 ft tall lamp post. If he is walking at a rate of 4 ft/s,…

A:

Q: Find the area between the curves f(x): 3x² 12 (in dark blue) and g(x) = -x² + 4 (in dark red) over…

A: Region is bounded by f(x)=3x2−12 and g(x)=−x2+4 over the interval [−3,3]

Q: Use Green's Theorem to evaluate the line integral. S 2xy dx + (x + y) dy C: boundary of the region…

A:

Q: (Section 4.3) Your task is to estimate how far an object traveled during the time interval 0 ≤t≤ 8,…

A: The given table time (sec)012345678velocity (feet/sec)2610111417182123

Q: 9. Which derivative does the limit lim h→0 (2+h)²2-4 Ih (A) f'(2) where f(x) = x² (B) f'(2) where…

A:

Q: Find the area A of the sector of a circle of radius 20 centimeters formed by the central angle 1/9…

A: Radius of circle=20 cmCentral angle=19 radian

Q: 6. Given the implicit curve, x² - In line at (1,1). In () = 1, Write the linear approximation L(x)…

A: The given implict equation is

Q: Consider the function f(x) = 14x - 4sin-¹. Find the critical number(s) off in the interval [-1,1].…

A: The given function is

Q: Find the Maclaurin series for the given function. 14e x What is the Maclaurin series of f(x) =…

A:

Q: Use the Chain Rule to check that the derivative of d dx 5 2(4-x-)- = = 1 (ਜ) 5 d 2 dx 5 2(4 – x²)² d…

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

Q: Find the radius of convergence, R, and the interval, I, of the convergence of the series. n=1 (x -…

A: The given series is; Summation of (x-2) n sqrt(n)]

Q: Öz Given z = sin(y) where a=t+u and y=t-u, find Ot What is the formula for ✓ Find Oz Ət dz Ot : 8z…

A:

Q: Using  the following 1 kilogram = 1000 grams  = 2.23 pounds  solve   9 kilograms = how many pounds?

A: Given 1 kilogram = 1000 grams  = 2.23 pounds.

Q: Find the area of the surface over the given region. Use a computer algebra system to verify your…

A: I have appended the formula used in the solution procedure