4 3. After an appropriate trigonometric substitution, the integral ²√²+4 dx becomes (c) / cot (d) S (b) 1 de (a) tan 0 de cot csc 0 do [9 sin²0 do (e) [0 se 0 sec 0 de

Q: A particle that started at the origin and is moving along the x-axis has a velocity function given…

A: We need to find out the position of the particle after 39 seconds.

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: we will find the required.

Q: 12) y = 2-X; dy 3x+1 A) -7 (3x+1) dy = ? ² B) 6X-5 (3XH) 2 c) (3x+1) D) = ¹ 3+2X

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

Q: K Find the requested value of the second derivative of the function. f(x) = 2e-x²; Find f'(4). OA.…

A:

Q: Find solutions to the equation 5 Tan²x + Tanx = 2 on interval [=17, 27). Round Solutions to 4…

A:

Q: Determine the solution of the following differential equation d) xy' + (1+x)y = ex sin(2x)

A:

Q: When an object is dropped straight down, the distance (in feet) that it travels in t seconds is…

A: Given that , st=-16t2

Q: Topic: Maxima-minima/optimization problems: Inverse trigonometric Functions Find the maximum and…

A:

Q: Evaluate each of the following expressions using the given table of values. 3 4 5 7 6 5 3 4 7 6 5 5…

A: we need to find out the values of the composite functions.

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A: standard form of line is y=mx+c,  where m is slope dxndx=nxn-1d(constant)dx=0

Q: Given the following data, calculate b, of the quadratic New difference polynomial: f(x)=0 f(x₁) =…

A:

Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

A: Given query is to find the slope and the equation of the tangent.

Q: The Cartesian coordinates of a point are given. (a) (6, -6) (i) Find polar coordinates (r, e) of the…

A:

Q: A farmer plans to fence a rectangular pasture adjacent to a river (see the figure below). The…

A:

Q: Find angle A to the nearest degree. 37° 30° 39° 42° 32 37 25 B

A:

Q: Solve the following initial valuc problem using the method of Laplace transforms y" - 4y + 5y = 8c³;…

A:

Q: Use the function below to determine if the following statements are true or false. f(x) = log5…

A:

Q: Use mathematical induction to prove the statement is true for every positive integer n. 4+8+12+ + 4n…

A:

Q: U. Solve the given equation 1) sec x(2 sin x-√2)=0 T Answer: x==+2nk, 4 TT ak 3π x== +2 4

A: Given query is to find the solution of the expression.

Q: rivatives · [²32²³ + 1 dr = es. Show all work 14.

A: Given query is to find the integral.

Q: a) which of the following is the graph. of y = X² ex # B) 2 of 44 c)

A: Shown below...

Q: Let (u, v) be the inner product on R² generated by A = 1=[ A and let u = (3,-4), v = (-4,5). Find…

A:

Q: The farmer knows that the area of the rectangular enclosure must be at least 400 square meters. This…

A:

Q: When we estimate distances from velocity data, it is sometimes necessary to use times to, t₁, t₂,…

A: we can calculate the height  using the time interval 0 to 62 by the using the above data

Q: Find the average rate of change of the function over the given interval. P(0)=03-302 +60; [1,2] ΔΡ…

A: use the unction value at given interval or finding the average rate of change .

Q: The roots of the auxiliary in y (4) + 3y"- 4y=0_ Om= ±2 Om=+1,i Om= + 2i Om= ± 1, ± 2i

A:

Q: 1. Determine f'(2) for f(x) = x² + 4x-1. Show your work. a. 7 b. 8 c. 11 d. 12

A: Given f( x ) = x2 + 4x -1

Q: Sketch the domain D given by x < 0, y ≤0, x² + y² ≤ 9 and, using polar coordinates, compute [[³y…

A:

Q: The graph of one complete period of a sine curve is given. A y (a) Find the amplitude, period, and…

A:

Q: Find the radius of convergence and interval of convergence of the series. n=0 (-2) ¹ 3n+1 -(x + 3)"…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  substitute n+1…

Q: Find all points (x,y) on the graph of f(x) = 3x² - 4x with tangent lines parallel to the line y =…

A: Please see the below picture for detailed solution.

Q: 20. The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

A:

Q: Find the singular values 01 202 203 of 01 = 4. A = -4 09 ] -9 0-4

A:

Q: Consider the integral [32² In(x) dx: Applying the integration by parts technique, let u and dv Then…

A: To evaluate the integral ∫3x2 lnx dx by using integration by parts technique.

Q: The velocity v(t) of a sprinter on a straight track is shown in the graph below. s(7) = 22 v(t) s(9)…

A:

Q: Find the Laplace transform of f(t)=sin(2t) + cos (21)

A: we know  Lsin(kt)=ks2+k2Lcos(kt)=ss2+k2given  f(t)=sin(2t)+cos(2t)

Q: A circle with center O and passing through the origin is graphed below. What is the equation of…

A: From the figure center = ( -4 , 2 ) let r = radius

Q: Solve the equation dy 2y² – x² 3ry

A: GIVEN equation in this question dydx=(2y2-x2)(3xy)   SOLUTION- as we can see dydxis a homogeneous…

Q: Determine the solution of the following differential equations. c) (D¹ + 2D6 + 7D5 + 14D4 + 8D³ +…

A: To determine the solution of the following differential equation.D7+2D6+7D5+14D4+8D3+16D3-16D-32y=0…

Q: Solve the equation dy 2y² S 3ry

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here…

Q: The graph of one complete period of a sine curve is given. n 3A 54°F Partly cloudy (a) Find the…

A:

Q: Which of the following does not test for divergence? O The integral test. O The root test.

A: We are asked to find the which of the following does not test for divergence

Q: An architect designs two houses that are shaped and positioned like a part of the branches of the…

A:

Q: The cost function for a particular product is given by Cx) - 0.0001x³ +0.018x² +26.7x + 190 dollars,…

A:

Q: Convert the equation to standard form by completing the square on x and y. Then graph the hyperbola.…

A:

Q: Find the Taylor series expansion of f(x) = = = at

A: we have to find taylor series expansion of f(x)  f(x)=1x2= x-2   at  a =1   now ,    f(x)=x-2…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A:

Q: -1 Find f-¹(x) if f(x) Of-¹(x) Of-¹(x) Of-¹(x) f-¹(x) = = = 2x + 1 3 2+x 3x 2x - 1 3 2 - x 2 2 3x +…

A:

Q: (2/7/277) 2√2 4 Find the slope of the tangent line to the graph of y = arcsin(2x) at the point Round…

A:

Q: Lim CSC X xox-² (ex-1) -2

A: