How many units is the arc length of the curve y = point where x = 3? ³/2 from the point where x = 0 to the

Q: Determine the average value of f(x) over the interval from x = a to x=b, where f(x) = - 1 X The…

A: formula for average value is  favga=1b-a∫abf(x)dx∫1xdx=lnx

Q: Find the dimensions of the largest rectangle that can be inscribed in a circle of radius r.

A: Answer in step 2.

Q: ure 1 to evaluate the trigonometric function. he exact answer. B 16 Figure 1 6

A: Given query is to find the value of tanA.

Q: Find the first and second derivative for the following functions. 1. y =tan(x) 2. Y = 3(x²-4)5 no…

A:

Q: (i) The velocity and acceleration of a particle is given as v= -4i -9j + 5k and a= 6i - j + 3k Find…

A: Given velocity and acceleration vector v = -4i -9j + 5ka = 6i -j + 3k

Q: √2² This can be transformed into a basic integral by letting Consider the indefinite integral U= du-…

A: We have given an indefinite integral  ∫x5·x6-24 dx Let,  u=x6-2 du=6x5 dx So, integral will be…

Q: ) If we would like to solve the following differential equation by variation of parameters 3x then…

A: We check whether the statement is correct or not .

Q: The total cost of producing x magazines is given by the function C(x)=600+17x−0.1x2+0.5x3. Find the…

A:

Q: If h(2) = 5 and h'(2) = -2, find d (h(x) dx X x = 2

A: given  h(2)=5  and  h'(2)=-2find   d dx(h(x)x)  at x=2we know   d dx(ab)=bdadx-adbdxb2

Q: f(x) = x4−32x−12  Determine where the function is concave up and concave down. Enter your answers…

A:

Q: Let f(x) = 5x and g(x) = ex + 7. Determine the x-coordinate where the graphs of the two functions…

A:

Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x² - xy lim (x,y) → (9,9) √x √4

A: The given limit function is lim(x,y)→(9,9)x2-xyx-y  We have to find the limit value .

Q: What are the magnitude and direction of w = (-10, -12)? Round your answer to the thousandths place.…

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: The function w(z) represents a package's corresponding weight in grams when the package's weight is…

A: Given query is to find the meaning of the inverse function.

Q: What is the standard form equation of the ellipse that has vertices (±12, 0) and foci (±9, 0)

A: Given Vertices = ( ±a , 0 ) →( ±12 , 0 ) foci = ( ±c , 0 ) →( ±9 , 0 ) so a = 12  &  c = 9

Q: can you please explain in words how the equation 3y^2 + 2xy + x^2 = 6 turned into 6y+2y+2x+2x=0??

A:

Q: Enter the equation of the parabola graphed below, using the vertex form y = a (x-h)² + k -5 -4 -3 -1

A:

Q: Graph the ellipse given below by dragging the vertices and co-vertices to the correct locations. 9x²…

A:

Q: This problem is concerned with the squeeze theorem. Suppose that is a bounded function and satisfies…

A:

Q: A as it is wishes to manufacture a box with company a volume of 32 ft³ that is open on top and is…

A: Given, Volume of box = 323 ft3 Length is twice of the width. Let, Length of the box = L Width of the…

Q: on using a single vector function (including domain) of the following curves in R

A: we have to find parametrization for the given curve ;--   a linear path along  x - y =9  from (9,0)…

Q: Using Laplace transform to solve the IVP: y" - 7y=e5t, y(0) = 0, y'(0) = 0, then, we have Select…

A: We know, L{y"}=s²L{y}-sy(0)-y'(0) L{y'}=sL{y}-y(0) L{eat}=1/(s-a)

Q: Let C be the curve f(x) = = the length of C, as follows: (2) Show that √1+ f'(x)² In(x) 2 1 2x x 2 4…

A:

Q: Find all real numbers k, if any, for which no real solution for k -2 and 2 -4 and 4 2 [₁2³ dz r³ dx…

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: You are given a feasible region. Find the maximum and minimum (if they exist) for the given…

A:

Q: An equation of an ellipse is given. ²+12²=1 (a) Find the vertices, foci, and eccentricity of the…

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Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x-2) (x - 1)(x + 2) dx || y = X > 2

A:

Q: Use the graph of f(x) - 1 below to find a number & such that f(z) - 0.5| < 0.2 whenever 0 << |z2|<…

A: Graph

Q: The weight of a body, W, above the surface of the Earth varies inversely with the square of the…

A:

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

A: Here is the solution:

Q: Convert the equation r= -14 sin 0 to Cartesian coordinates. Describe the resulting curve. Choose the…

A:

Q: 0 5. 21 ) Let A=[¹²] and B= [¹ Find AB. 13

A: Given query is to find Matrix product.

Q: 7. Find the area of the portion of the plane that is inside the triangle with vertices (0,0,4), (8,…

A: See this solution in below.

Q: locity of 6. Find the average value of f(2x - 1)³dx.

A:

Q: Solve for 8: cos²0 (1 + 2cose) = 0 on the interval 0 sesn. = 06-1플 100-10. ㅠ 3 품 품 3 3 00-27, 0.ㅠ…

A: To solve the trigonometric equation cos2θ1+2cosθ=0 ; 0≤θ≤π.   As the general solution of the…

Q: f(t) = te4t

A:

Q: Which of the following represents the series? −13 + (−7) + (−1) + 5 + 11      b    c    d

A: given  series is  -13+(-7)+(-1)+5+11first term is   -13

Q: Solve the problem. 1 -3 0 13 Let A = -4 0 2 and b= 14 4 5-4 -45 Define a transformation T: R³ -> R³…

A: We can solve this as follows:

Q: y = x^ex

A:

Q: Consider the following function: f(x) = −x4 + 8x2 + 2   Enter the x-values of any local minima,…

A:

Q: Find the vector equation that represents the curve of intersection of the paraboloid z = surface x =…

A: given  z=3x2+y2x=ey

Q: -X 17) y=e^· cos(2x); dy = ? -X A) -ex (cos 2x + 2sın 2x) B) e (sin 2x- ccs 2x) c) 2ex Sin (2x) -X…

A: Given:- y=e-xcos2x

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

A:

Q: he function y = omain tercepts ymmetry 2x+3 x+2 do the following.

A: we will find the required.

Q: ) Inverse Laplace transform of 2S-5 2 + is s²+16 S3 f(t) = 2cos(4t)-5sin(4t)+t² F(s) =

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

Q: Set up an integral which calculates the total distance traveled by the drone between t=1 and t=2?…

A:

Q: Evaluate the integral 25 (28-4) ¹3 dz 13 x6 - 4. by making the substitution u = x + C

A: SOLUTION-