Question The base of a triangle is shrinking at a rate of I1 cm/s and the height of the triangle is increasing at a rate of 11 cm/s. Find the rate at which the area of the triangle changes when the height is 10 cm and the base is 8 cm.

Q: Find the unit vector of n = (4,-3) .

A:

Q: The coefficient of Ssin(x) in the antiderivative of is 15/32 (use fraction form not decimal no…

A: Given

Q: Two vectors beginning at the same vertex of a triangle are ⟨-5,3⟩ and ⟨3,5⟩. Choose the correct…

A:

Q: Find the points on the surface y? = 36 + xz that are closest to the origin. smaller y-value (х, у,…

A:

Q: Use the Ratio Test to determine the radius of convergence of x" Σ Vn - 9" n=1 Then determine whether…

A:

Q: 12x3 Find the power series for f(x) = in the form an. (1- x*) n=1 3 Hint: First, find the power…

A: Here we have to find the power series for            f(x) = 12x3/(1-x4)2

Q: 7+x on the domain[-8,0]. 8- x Find the absolute extrema if they exist, as well as all values of x…

A:

Q: pdf. Carefully sketch a function which has the following sign charts. + + f' x=0 x-2 f" x-1 +

A:

Q: Determine the value of C in on the antiderivative of F(x) = sin (x)cos (x) for x = 0.784 and y =…

A:

Q: True or false: 1. Is the limit of f(x) as x approaches c always equal to f(c)?  2. Limits of…

A: topic - limits

Q: x + 1 y = arctan x – 1

A:

Q: Use the Ratio Test to determine the radius of convergence of 8. x" Vn- 97 Then determine whether the…

A:

Q: Find Maclaurin Series)

A:

Q: Use the first principles definition to determine the derivative of the following quadratic function:…

A:

Q: Find the derivative of the function. g(x) = 4(5 - 9x)5 g'(x)=|

A:

Q: manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x^2, where C is…

A: Given query is to find the value of x for minimum cost.

Q: A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south…

A:

Q: A. Evaluate the limit of a function using the concept of Special Limits. sin2t t3 sint 2. lim

A:

Q: Match the integral expression on the left to an equal expression on the right. Ssin(ax)sin(4x)dx +…

A: We know that; The trigonometric identitites; a). sinxsiny=12cosx-y-cosx+yb).…

Q: Let y 5x? + 4x + 3. If Ar 0.1 at I = 5, use linear approximation to estimate Ay

A:

Q: Find the interval of convergence of the series. (3x)" * Σ n2. 10" n=1

A:

Q: 3. Find the interval fconvergence of the Sevies : 1-3(x-4) + 9 x-4)-..

A:

Q: Find the arclength of the curve: y = 5(x+2)3/2  ;  2 < x < 7

A:

Q: the length of a parametric curve: x = 2t + 1 ; y = t2 - 3 ;  0 < t < 5

A:

Q: Consider the function below. Use it to evaluate each of the following expressions. (If an expression…

A: Given function f(x)=x    if  x&lt;18    if  x=12-x2  if  1&lt;x≤2x-1   if   x&gt;2

Q: 27 Зx dx

A:

Q: Let P(x) = 7x² + 6. Estimate the slope of the tangent line of this function at the point x = 3.…

A:

Q: To apply this test we must first find Y'(N). Doing so gives the following result. kN Y(N) 16 + N2…

A:

Q: Use the definition of a normal subroup to prove Proposition 2.3.7: IfGis an Abelian group, then…

A:

Q: Find the unit vector ofn = (4,-3) . 14 3\ 5'5/ O /4/5 35 5 5 /4 3\ 5/ 45 35

A:

Q: Use the Ratio Test to find the radius of convergence of 2n= 10 (Use symbolic notation and fractions…

A: Solution of question is written in below steps.

Q: 15. Which of the following has terminating derivative? 1 1. у %3 Зх3 — 2x2 + х-1 —5 II. y Зx+2 1 . у…

A: We will find the terminating derivative.

Q: -2 -1 0 3 6 |

A: We have to find out the limit

Q: Find the area bounded by y = 2 - x squared and y = x

A:

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k v = 7i + j – k O…

A:

Q: The age T, in years, of a haddock can be thought of as a function of its length L, in centimeters.…

A: Given problem:- The age T, in years, of a haddock can be thought of as a function of its length L,…

Q: The table gives the readings from a laboratory experiment X 3 4 Y 120 90 60 70 b+x A curve of the…

A:

Q: Differentiate the function In x f(x) = In 2x+3 x>0

A:

Q: (d) Determine the probabilities of the following events: E1, E2, E3 E1 O E2 E1 U E2, and E2

A:

Q: Find the Taylor series generated by f at x = a. f(x) =, 1 a = 6 (- 1)"(n+ 1)(x – 6)" Q A. 2

A:

Q: Find the two -intercepts the function r and show that 7 (x) = 0 some polnt between the two. f(x) =…

A: Given query is to find the x intercept.

Q: Let F(x) = f(x) + g(x)e* + h(x)e2× + C be the antiderivative of G(x) = (x + e*)*, Determine the…

A:

Q: dz dx dy 3 Assume x, y, and z are functions of t with z = x + y°. Find dt = 12, and y = 1. dt when =…

A:

Q: 0; x 0

A:

Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

A: Topic = Integration

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = X-in(x) given the…

A: We can solve this as follows:

Q: 2л E. Given v of magnitude 200 and direction , and w of magnitude 150 and direction 3 find v+w. 6

A:

Q: 2. ts): Find the absolute maximum / minimum values of the function f(x) = x(6-x) over the interval…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y – 2z = 5 4x - 20y - 4z =…

A: