Question 13 Evaluate the definite integral. 1.² sin (3t)dt Question Help: Video ▼ Submit Question < > Jump to Answer

Q: 4. Find the equation of the plane that is perpendicular to the curve C(t) = at t = π/4.

A:

Q: A closed box with a square bottom has a total surface area (all 6 sides) of 400 square inches.…

A: We have given a box with a square bottom length = width = w inches Surface area = 400 in2 Surface…

Q: The surface of a machine part is the region between the graphs of y₁=1x and y₂ = 0.100x² +2.500 as…

A: Given that , y1=x , y2=0.100x2+2.500 Find the area of the surface of machine port.

Q: Consider the function f(x) = x + sin(2x) defined on the interval [0, 2x]. Verify that the mean value…

A:

Q: 15. If g(x)=√t² - 5t dt, find g"(x).

A:

Q: tan x - sin x x³ 2) Evaluate i) lim- x->0 In(10¹6x+777) et ii) lim- 848

A:

Q: Suppose g(x) has a range of [-2, 6]. Determine the range of the transformation y = 2g(x) - 5 O [-14,…

A: Given: Range of g(x) is [-2,6]

Q: Would you use the dividing out technique or the rationalizing technique to find the limit of the…

A: see below the aanswer and explanation

Q: 6. Σ. 5 7. = + = =+ = + - + 7.-+-+ 27 2k 3hti + ..

A:

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. rsin 0=6 The…

A: in cartesian  coordinates  x=rcosθ  and  y=rsinθgiven  rsinθ=6

Q: 18. A company makes $1000 on the first 100 widgets sold. The rate of change for profit is given by…

A:

Q: a. b. C. 1 2 3 456789 Find the domain. Find the range. Find the values of x such that f(x) = 6. *=*

A:

Q: Expand the following logarithmic expression and simplify: 06 + log (y) - log (x) + log (3) O+log (y)…

A:

Q: If f(x) = tan 13m-cot¹3x, what is f'()? 0-3 01 3 0-1

A:

Q: (-26)³ 6 If so, write it in the form f(x) = kx². Is the function g(x) The function is g(x) = kx² ||…

A:

Q: Use the graph of f(x) to evaluate the following: 6 + 5 4 3 2 1 -1 f(x) 1 2 3 4 5 X Average rate of…

A:

Q: Suppose the graph below has the formy - Asin(Bx) + C. 2505042 Ов 15 10 Find the value of B. OB = 1…

A: We have to solve given Questions.

Q: Differentiate the function. 4√x + 9x 7x² y' = y =

A: Given that y=4x+9x7x2

Q: Find the derivative of: 7 sin² ( – 2xº).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use the chain rule to find the derivative of 3 10√/2r³ + 10x¹0

A:

Q: Question 1 ( (a) ) ) For the function (b) ( transform 3 f(t) use the definition of the Laplace…

A: Given function is (a) f(t)=30≤t&lt;2e2tt≥2and (b) L-13(s+5)(s-2)

Q: Find all relative extrema of the function f(x) = 3x4-36x³+ 5. Use the Second Derivative Test where…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1. Divide the interval [a,b] into n = 4 subintervals of equal length and compute A) the sum of the…

A:

Q: 3. Write 2.734234 = 2.734234234... as an improper fraction.

A:

Q: Find the slope of the tangent line to the curve x=t+ 1, y=2t² + t -1 at t= 1.

A:

Q: Find the derivative of the function. y = sin ¹(cos ¹(t))

A:

Q: Differentiate. y' = y = 3 sec(x) - csc(x)

A:

Q: 1 5) Let A= 1 -1 0 0 -1 2 3 -6 a) Find A-¹. b) Find det(A), that is, the determinant of A.

A: (a)  A-1=1Aadj(A)where  A=determinant if Agiven  A=1-1010-1-623

Q: Determine the x-coordinate(s) of any relative extrema and inflection points of the function y=x³ In…

A: Solution: y=x3lnx4 This can be written as y=x3(ln(x)-ln(4)) Then: for having any relative extrema…

Q: Find the length of the cardioid r = 3+3 cos 0. The length of the cardioid is (Simplify your answer.)

A: formula for  length of cardioid is  L=∫abr2+(drdθ)2dθgiven  r=3+3cosθdcosθdθ=-sinθ

Q: For what values of h are the given vectors linearly dependent? 5 -20 -3 12 5 4 6 52 3 h Vectors are…

A:

Q: A drone flies with velocity v(t) = 3ti-fj+4k. When t = 1, the drone is at (3,2,2).

A:

Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A: find equation of tangent line at ( 2 , 16 ) first find slope  for x = 2  slope m = 8*2 = 16

Q: Evaluate the integral f(2x + by making the substitution u = x² + 3x + 8. 2x + 3) (x² + 3x + 8) ¹dx +…

A: Evaluate the integral. By making the substitution u= x2 + 3x + 8

Q: a building so that its foot moves away from the building at the note of 3 feet per second. When the…

A:

Q: a. Find the first four nonzero terms of the Taylor series for the given function centered at a. 13…

A: We will find the required.

Q: 8). If y is a differentiable function of X, then the slope of the curve of; 3 = 6 at point where y=1…

A: Note: Since the student has mentioned to solve question no. (8), so we are solving according to…

Q: dentify the circle that has center (4, -2) and radius 4. Select the correct answer below: (x-4)² +…

A: Given query is to find the equation of the circle.

Q: Find the derivative of the function. y' = y 1 - x² - x cos-¹(x)

A:

Q: 2 Find the area between the graph of y = 5 – 5x³ and x-axis and − 1 ≤ x ≤ 8 using properties of…

A:

Q: d (sec-¹(2)) is equal to O O 1 2 √√4-1 1 In 2√4-1 O 1 √4¹-1 In 2 √4-1 In 2 2√4-1

A: Solution: ddxsec-1(2x) Apply the chain rule : df(u)dx=dfdu·dudx f=sec-1(u), u=2x =ddusec-1(u)ddx(2x)

Q: 12 C 10 B A 2 F G H D E

A:

Q: The volume of a sphere is increasing at a constant rate of 198 cubic feet per second. At the instant…

A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

Q: Differentiate the function. F(t) = tº + e⁹ F'(t) =

A: Here is the solution:

Q: Find the area bounded by the line f(x) = 2x + 15, the curve g(x) = x² − 4x + 20, and the two…

A:

Q: er the equation of the parabola graphed below, using the vertex form y = a (x-h)²+k. y = (-1,0)…

A: To solve the following problem using graph

Q: Inverse Laplace transform of 2 s-5 2 + is s²+16 s³ f(t) = 2cos(4t)-5sin(4t)+t² F(s) = Select one: O…

A: We are required to find if the inverse Laplace transform of F(s) is True or False

Q: 19. lim x²-5x-24 x-5 x²-9

A:

Q: Transform the given differential equation into an equivalent system of first-order differential…

A:

Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

A: