r 10 A -8 -2 -1 I 3+ 2+ 1+ -1- 2 من -4+ T? ← -5+ M I +1

Q: A solid is formed by rotating the region in the xy-plane bounded by the curves y = 7x², x = 1 and…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: The curves are given as , y=9/x , y=0 , x1=1 , x2=4 Use the method of cylindrical shells to find the…

Q: 10. Find the linear approximation of the function g(x) = √√/1 + x at a = 0 and use it to approximate…

A:

Q: Determine the value of k so that ū = [-5, k, 3] and = [1,2,- 7] are orthogonal.

A:

Q: Test the series below for convergence using the Ratio Test. 3n n! The limit of the ratio test…

A:

Q: The rate of change of annual U.S. factory sales (in billions of dollars per year) of a certain class…

A: The rate of change of annual sales of a certain class of goods to dealers from1990 through 2001 can…

Q: find the to the (1,3). of B y² 2x² equation Cerve the tangent line X² 12 at the point

A: The equation of the curve is given and here we need to find out the equation of the tangent line.

Q: Solve the initial value problem. x²y+xy = 1, y(1) = 5 (5+ In(x)) y =

A: We will solve the initial value problem as following

Q: Write a polar equation of a conic with the focus at the origin and the given data. 7 3 hyperbola, 28…

A: If the focus is at origin , the eccentricity is e≠1 and the directrix is x=±d,thenthe two conics…

Q: 1) Evaluate the indefinite integral: fsin³r cos8 x dr

A:

Q: and a tangent vector at point P. 2 166. (x² + y²)² = 9 (x² - y²), P(√2, 1)

A:

Q: Write the vector shown on the graph below as a linear combination of standard uni vectors i and j.

A: Graph

Q: The next step is to find du = g'(x) dx. First find g'(x). g(x) = x + 9x 6.x³ +9 Therefore, we have…

A: Find where wrong Your wrong 1/u it is wrong Right is 1/u^2

Q: 1 L² -1 3 ترجم 4 x² 4 + 4 da

A: ∫-11x3x44+4dx

Q: Find the curvature of r(t) = (3t², In(t), t In(t)) at the point (3, 0, 0). K =

A:

Q: Each side of square is increasing at rate of 7 cm/s. At what rate is the area of the square…

A: Considering the side (s) of the square as a function of time. The rate at which the side increases…

Q: A 35-foot ladder is leaning against the side of a building. If the ladder makes an angle of 29o…

A: The length of the ladder is 35 foot Angle θ=29∘39'

Q: Given a = 3, b = 11, and c = 10, use the Law of Cosines to solve the triangle for the value of A.…

A:

Q: For each function below, assume A and B are constants. Match each graph with one of the listed…

A:

Q: about the x-axis the region under the curve y = x¹/6 from 0 to 3. You first slice through the…

A:

Q: Suppose that f(x) and g(x) are given by the power series f(x) = 2 + 5x + 5x² + 4x³ +... and _g(x) =…

A: Given power series  f( x ) = 2 + 5x + 5x2 + 4x3 + ......g( x ) = 2 + 9x + 2x2 + 4x3 + ......h( x ) =…

Q: answer the following:

A:

Q: For each function below, assume A and B are constants. Match each graph with one of the listed…

A:

Q: A scientist is collecting distance and angle measurement data from a hamster moving inside a hamster…

A: A scientist is collecting distance and angle measurement data from a hamster moving inside a hamster…

Q: Maximum and minimum value 2) at Find the critical numbers F(x) = x ³ (4-X) OF bi Find the absolute…

A:

Q: Example 2: Consider the graphs of the functions f(x) and g(x) given below. Find each of the…

A: a)limx→1f(fx) limx→1f(fx)=flimx→1fx ⇒f(3) =2 limx→1ffx=2

Q: 2. For these systems of ODEs find the general solutions: 34 (a) x' = (3₁) x, x(0) = [1,1]T 32

A:

Q: if f(x) = 19 9² (4) = 3 Where find f'(14) √x g(x), 9(4) = 2 and

A: if fx=xgx

Q: Find the component form of vif ||v|| = 2 and the angle it makes with the x-axis is 60°.

A: Given that, Magnitude of v is :  ||v|| =2 and angle with the positive x-axis is θ= 60°. Suppose, the…

Q: 23. Find the angle between the vectors u = [-9,1, 3] and = [0,2,-5].

A:

Q: 4. Suppose that the acceleration of a particle (in meters per second per second) is given by the…

A: Let a(t) ,v(t), s(t) are the acceleration, velocity and position of a particle respectively. vt=∫at…

Q: Consider the following vector function. r(t) = (8 sin(t), t, 8 cos(t)) (a) Find the unit tangent and…

A: To find unit tangent and unit normal vector and curvature. Given  r( t) =  { 8sin(t), t, 8cos(t) }

Q: Find the area between y = 1.5x + 5 and y = x² - 2. The -2 and x = 3.5. graphs intersect at x = − -4.…

A: The equation of curves are y=1.5x+5 and y=x2-2

Q: Divide the complex numbers below and leave the result in trigonometric 7(cos 150° +i sin 150°) 9(cos…

A:

Q: Convert to a logarithmic equation. 100,0001/5 = 10 01 세=log10100,000 ○ 10 = log1/5100,000 O O 1 10 =…

A:

Q: 7. Let F = x² + ²² − x² + y² j Find the line integral of the tangential component of F, from (-1,0)…

A: We have to evaluate the line integral. According to our guidelines we can solve only one question…

Q: Suppose -5 -7 [ f(x)dx = 1, [² f(x) dx = 10, -8 -6 [ f(x) dx = = -7 (1ƒ(x) — 10) da - = -5 [ f(x) dx…

A:

Q: Find the angle between the vectors to the nearest hundredth of a degree. p= and q =

A:

Q: 7 If [ ²ƒ(² f(x) dx Answer: = if" fla 16 and 6 Sº f(x) dx. f(x) dx = 3.1, find

A:

Q: L² 2 (2x² – 3x) dx

A:

Q: sketch f(x) has a graph of on on f'(x) > 0 (-∞0,2) 7 f" () <0 on (-00, 2) f(x) inflection point 0²…

A:

Q: Construct a problem where the derivative of a point on a graph is equal to 1. It cannot be a linear…

A: To construct a problem where the derivative of a point on a graph is equal to 1.

Q: 1. Show and explain all work. If sec 0 = 52 what are the possible measures, in radians (to 4 decimal…

A: we have given equation sec(θ)=52

Q: Find the indefinite integral. 6x5 +9 dx (x6 + 9x)²

A:

Q: First find f' and then find f. f"(x) = x³ + 8x² – 3x - 9. f'(1) = 10. f(1) = -10. f'(x) = 0 f(x) =

A: The given derivative function is:f''(x)=x3+8x2-3x-9The given condtions are:f'(1)=10      and…

Q: Suppose the tangent line to the curve y = f(x) at the point (1, 5) has the equation y = 8 - 3x. If…

A:

Q: Solve the given LDE using the method of undetermined coefficients. (D² + 4D+5) y = 35e-4; y(0)=-3,…

A:

Q: aw 2 View Help Picture B A) -3 I UA Mecha B) 49 trappuccing Find the exact value of the logarithmic…

A:

Q: Use linear approximation, i.e. the tange as follows: Let F(x)=√x. Find the F(x) at x = 64 еди L(x)=…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=64 which means that…

Q: 7. f(x) = 2 3-x

A: