Use integration by parts to find the integral. (7x-3) e-2x dx -2x dx = (7x-3) e

Q: Use a triple integral to find the volume of the region bounded by 5x + 6y, z = 7, and the planes x =…

A:

Q: Deon's shirt is 4 times larger than Helen's, but costs half as much. Deon's shirt cost $9.35. How…

A:

Q: sketch the graph of fox) = 2 1+x²²

A:

Q: Let V₁, V2, and v3 be vectors in a vector space V, and let T:V→ R³ be a linear transformation for…

A: Given :T(v1)=(1,-1,2)T(v2)=(0,3,2)T(v3)=(-3,1,2)

Q: dx (x² - 1)²

A:

Q: Problem 4. (. Let C be the curve given by parametric equations y(t) = 2t, z(t) = lnt, t€ (-∞0, +∞0).…

A:

Q: 1. Evaluate a) for²dr, 2. Evaluate fr+7r² dr. 3. Evaluate a) fe²dr, r/2 4. Find sin rdr. b) dr, c)…

A: 1. evaluate  a) ∫01x2dx = [x3/3]01 = 1/3   b) ∫231/x2dx [-1/x]23 = -1/3 +1/2 = 1/6   c) ∫12x2dx =…

Q: Directions: Use the diagram as a reference to answer the question below. x-axis h y-axis If arccos =…

A:

Q: f(x) = xlnx

A:

Q: Using trigonometric substitution in integrating sqrt (x^2 - 49), the adjacent side is equal to?

A:

Q: Directions: Solve the following using the theorems on differentiation. 1. Evaluate | 7e*dx 2.…

A:

Q: Prove using the properties of set operations: a. If A and B are sets then [(A - B)c n A] C B

A:

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A:

Q: solve by differential √226

A:

Q: Kindly answer the question and provide a clear and correct solution. If I still get wrong…

A:

Q: 9) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and…

A: Given: Total length of fencing = 600 feet We know that area of a rectangle is length × width

Q: Find the area bounded by y = 2x + x2 - x3, the x - axis, and x = -1 and x =1

A: On solving this we will get

Q: Without using a calculator, compute the sine and cosine of 210° by using the reference angle. What…

A:

Q: Evaluate the indefinite integral S- dx 3x² x³√x6-1 O 3+C sec-1 +6 O sec-1x3 3 + C ec²¹x² + C sec 3…

A: SOLUTION-

Q: The region trapped between y = 4x - 2x² and y 4x-2x² - 2x² - ³ is shown below. a) Set up the…

A:

Q: Q3: Find the area of the region bounded by the curve y = x³ and the lines y = -x, y = 1. (Draw the…

A: Given problem:- Find the area of the region bounded by the curve y = x3 and the lines y = - x, y = 1

Q: Find the limit, if it exists, or show that the limit does not exist (a) lim (v) (0,0) 4+4y² U=D 15m…

A:

Q: Set up the integral in terms of h(x) that evaluates the shaded area under the curve and evaluate…

A: Please refer to the image below

Q: Using the substitution u = x - 1, we get the following. (Remember to use absolute values where…

A: ∫1x-1dx=∫1udu                 =logu+c ∫1x-1dx=log(x-1)+C

Q: Question 2 A. B. A system of linear equations is given below. 2x + y + 2z = 1 x + 4z = 2 y = 2z = 1…

A:

Q: The function f(x) 2x³ 33x² + 108x - 6 has two critical numbers. = The smaller one is x = and the…

A:

Q: 8. Use the given graph to estimate the left Riemann sum for the given interval with the stated…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 4t 11t…

A: We have to find velocity

Q: • show that ф (x, y, z) = 8²4 PDE: аф + дуг дуг x2 +у2 +Z2 го деф ?72 satisfies the

A: The given function is;  Phi(x,y,z)=1/sqrt(x2+y2+z2).

Q: f' f" 1 I I 1 I 1 I I 1 A A B D B D y C E D E

A:

Q: Let f(x) = 3 cos 2x + sin² x. a) Show that f'(x) = -5 sin 2r. b) In the interval <x<³7, one normal…

A: Use equation of normal

Q: □ classify the following PDES :- 827 82 827 дхг -2 +2 =x+3y буду дуг 2 2 X ох Ихх - 2ху Иху +у Иуу…

A:

Q: Consider the function f(x) = 3 - 3x², 3 - 3x², 4 ≤ x ≤ 1. The absolute maximum value is and this…

A:

Q: Solve the following equations 63. y"+y = 3 sin 2x + xcos 2x

A: If   Qx=xF, where F is a function of x  then particular integral is PI=1PDxF=x1PDF-P'(D)P(D)2FAgain…

Q: 5) Approximate x²-1|dx with a right-endpoint Riemann sum using four equal subintervals.

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

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

A:

Q: A ball is thrown downward with a speed of 13 ft/s from the top of a 169-foot-tall building. After t…

A: Basic quadratic equation and derivative are to be calculated

Q: 8. Evaluate 9. Evaluate 10. Evaluate cot²x dx (sin x + x) dx cosx J dx sin² x

A:

Q: What is the value of a such that the function y = 2x4 - ax² + 3 has twin global minima at x = -3 05…

A:

Q: y = log sin x (csc 4x)

A:

Q: A certain drug is being administered intravenously to a hospital patient. of the drug enters the…

A:

Q: Find the length of the entire perimeter of the region inside r = 18 sin but outside r = 3.

A:

Q: Vectors: given vectors "=(-3,-1,4) and v = (-2,3,2) 2u- v Add/subtract/scalar multiplication: Find…

A: Given: u=-3,-1,4    and  v=-2,3,2

Q: Let f(x) = 3 cos 2x + sin²x. a) b) Show that f'(x) = -5 sin 2x. In the interval <x<3 Find the value…

A: Please see the below picture for detailed solution.

Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

A:

Q: 1) Approximate (3+x-x²) dx with a left-endpoint Riemann sum using four equal subintervals. 2)…

A:

Q: (xy² + y-x) dx + x(xy+1) dy = 0

A:

Q: 4. Evaluate the double integral: y f. L y¹/3 x7 +1 (Hint: Change the order of integration to dy dr.)…

A:

Q: 1. S 2. [x²e²² dx 3. [sec* (x) dx 4. fxinx dx 5 ( x50x² dv x arccos x dx 6. Jese² (3x) dx 7. fx³ež…

A: Since multiple questions are asked, I am answering first question

Q: A fence 24 feet tall runs parallel to a tall building at a distance of 6 ft from the building as…

A: Trigonometric ratio