P show that (α) |=1 = 12/

Q: Use a definite integral to find an expression that represents the area of the region between the…

A:

Q: √ (9+x²) ²0 dx is equal to 3x a. + Arctan) + C 3x b. (+ Arctan) + C - 54 c. + Arctan) + C 27 d. - (+…

A:

Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p…

A: "According to the guidelines issued by the company we are supposed to answer only first three…

Q: 2. A rocket is launching vertically upward from a point 2 miles east of an observer on the ground.…

A: Let's find speed of rocket.

Q: Point T(√3/2, 1/2) is the point of intersection of the unit circle and the terminal arm of angle…

A: This question can be solved using the concept of polar coordinates.

Q: Suppose Fix)= √2x¹+ 6 and the point (2,5) is on the graph y = F(x). Find F.

A: Given problem:- Suppose F'(x) = √2x +6 and the point (2,5) is on the graph y= F(x). Find F.

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About…

A:

Q: Question 4. Continuity Exercise 2.5, Problem 26 a. Show that f has a removable discontinuity at x =…

A: We have to show f has removable discontinuity at x=3 and find the value of c

Q: [sin³ 4x cos 4xdx

A: We can find the answer as below.

Q: Find the distance between line 2xy + z = 4.

A:

Q: 5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the…

A:

Q: Problem 7. Find absolute extreme values for f(x) = ³ − 6x² + 5, x € [1,5].

A:

Q: 1) Find the volume formed by rotating the region enclosed by: x = 3y and y³ = x with y ≥ 0 about the…

A: answer is in next step . please give a like!!!

Q: Given u = ⟨5, 1⟩ and v = ⟨11, −3⟩, what is the magnitude of the projection of u onto v? Round your…

A:

Q: For the next two exercises, use the Root Test to determine if each series converges or diverges. 8…

A:

Q: Ive the following problems on a separate sheet of paper showing the 8 steps. A cylindrical tank of…

A:

Q: 1. Given the function f(x)=2-4x+ +$. Please find the intervals of increase or decrease, absolute…

A: Given problem:-

Q: Use the table of integrals to evaluate the integral. (Remember to use absolute values where…

A: ∫3 sec5(x) dx=3∫sec5(x) dxApply reduction formula: ∫secn(x) dx=n-2n-1∫secn-2(x) dx+secn-2(x)…

Q: -x-7 fres-2 [F(x)= x² for-2 2 At x = -2 because limit as x approaches -2 of f(x) Does Not Exist At x…

A: Topic:- calculus

Q: So S/2 √xydx dy

A: solution:-∫01∫y2yxydxdy=∫01y∫y2yxdxdy=∫01yx3/23/2y2ydy=∫01yy3/23/2-y23/23/2dy=23∫01y2-y7/2dy

Q: A polynomial equation of the form y = ax + bcx³ - 10x2 has an absolute maximum at (1,6). Determine…

A: Given

Q: Solve the problem. Find the area between y = (x - 3)ex and the x-axis from x = 3 to x = 7. A) e²-e³…

A:

Q: Evaluate: (answer in fractional form) So S/2 √xydx dy

A:

Q: Suppose that x = 3 tan 8. Find an expression for cos in terms of x. (Hint: Draw a triangle.) 3 a. 3…

A: This question can be solved using the concept of trigonometric identities.

Q: Draw and show the solution in finding the differential equations of the family of circles with fixed…

A: This is a differential equation problem

Q: 7. Which of the following are anti-derivatives of f(x) = sin x cos x? I. F(x)= sin²x 2 II. F(x)=…

A:

Q: Express the repeating decimal as a fraction. 0.789626262626...

A: Let x=0.789626262... We need to express x in fraction. Note: '62' is repeating itself in x. The…

Q: absolute absolute error when you vo (12) with T₂(x) at od: Jest Trond.alq2] vib 10 TO 90AU973V803…

A: Let's find absolute error.

Q: If the following equality is known to be true: -Ax + B x² - 2x - 3 What are the values of the…

A: see below the answer and calculation

Q: ii) under z = x² - y² and above the square R = [1,3] x [-1,1]

A: Please see the below picture for detailed solution.

Q: [₁ In(x² + 4)dx

A:

Q: s) Calculate the indefinite integral using Trigonometric Substitution. X [ dx +x²

A: This is a problem related to integral. Based on the trigonometric substitution we will answer the…

Q: method included 1. U- substitution 2. Trig techniques 3. Trio Substitution 4. Parts, 5. Partial…

A:

Q: B. Find the volume of the indicated solid i) under 2x - 3y + z = 6 and above the rectangle R = =…

A: Let's find volume of solid(V).

Q: A total of $7000 is deposited into two simple interest accounts. In one account the annual simple…

A:

Q: Q2: Find a general solution of the differential equation (D² + 6D +13)y= 10e³- 16e using the…

A: Concept: The general solution of the given differential equation is given by  y=C.F+P.I Here C.F is…

Q: What function will you differentiate to get each function? 3. g(t) = -3t2 + 12t - 17

A: Integration is the inverse process of differentiation.

Q: Air is being pumped out of a spherical balloon at the rate of 25 cm3/s. How fast is the radius…

A:

Q: 2.Evaluate the total derivative of u with respect to x for u = 4x4+3y² + 3z² when y = sinx and z =…

A:

Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

A:

Q: Find the inflection point of the following function, if any: y = x(x - 5)¹/5

A:

Q: Find (fog)(x) and (gof)(x), given that f(x)=8x +9 and g(x)=7x-1. (fog)(x)= (Simplify your answer.)…

A: Topic:- function

Q: The following five statements, numbered 1 to 5, were made about the graph of = tan c. Statement 1…

A:

Q: Question 1 of 14, Step 2 of 3 1/20 Correct When a factory operates from 6 AM to 6 PM, its total fuel…

A: Given query is to find rate of consumption at 10 AM.

Q: nd an equation of the tangent plane to the given surface at the specified point. z = 4x² - y² + 4y,…

A: Topic:- application of derivatives

Q: Find 넥 L -TS (s+1)e- s² + 4s + 4

A:

Q: Suppose the inequality (2² - 4x + 3) ≤ f(x) ≤ cos (#) Find lim fx if it exists. 3 x-2 OA) -1 OB) O…

A: We use sandwich theorem to find limit

Q: Does lim—>1 exist? Does lim—3 exist? Are they continuous? Discontinuous?

A:

Q: Additional Activities What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x²…

A:

Q: sin² x + cos²x sin² X -dx

A: NOTE: Refresh your page if you can't see any equations. . the given integration is