The graph below shows vectors u, v and w. 5- -5 -4 -3 ν 4 3 2 -2 2 3 -1 W -2 -3 -4 -5 Clear All Draw: น UT

Q: Find the area of the interior of r = 18sinė. Select one: O a. 81 π O b. 45π O c. 36元 ○ d. 72π O e.…

A: Answer::The Correct Option is ′A′ i.e 81πExplanation:sol) The Correct Option is ′A′ i.e 81π

Q: If F(x) = f(xf(xf(x))), where f(1) = 3, f(3) = 4, f'(1) = 4, f'(3) = 5, and f'(4) = 6. Find F'(1).…

A:

Q: The population, P, of a bacteria colony at t hours can be modelled by: P(t) 450+130t+ 15t² + 2t3 a.…

A:

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (-6, 3, −3), Q = (-5,…

A: The answer is given below.Explanation:

Q: Can you answer number 2,5,6,7 using integration by parts. Thank you.

A: Answer No. (2): To evaluate the following integral by using integration by parts.Note: Since you…

Q: Consider the function: Step 1 of 2: Find the second derivative of the given function. f(x) = √√√x² +…

A:

Q: Its the same options for all of them

A: The objective of the question is to identify whether the given statements are correct or due to Type…

Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

A: The given parametric equation is: Use a graphing utility to graph the curve represented by the…

Q: Find a rational function f that satisfies all the given properties vertical asymptote at x = 4 and…

A: The objective of this question is to find a rational function that has a vertical asymptote at x = 4…

Q: Use the first derivative to find all critical points and use the second derivative to find all…

A: f(x)=

Q: 3. Use the Chain Rule to find the indicated partial derivatives. (a) w = x² + y² + z², x = st, y = s…

A: Note- As per company guidelines for multiple questions posted we are allowed to solve only one…

Q: Let f(x, y) = 7ln(18x² — 9y). - Graph the boundary of the domain of f below. 7- 6- 5 4- 3 2 1 27…

A: given function

Q: For the linear function y=f(x)=2x-2 a. Find df/dx at x =-9 b. find a formula for x = f to the…

A: The objective of the question is to find the derivative of the function at a specific point, find…

Q: 1. Determine if each series is convergent or divergent. If it is convergent, find the sum of the…

A: To determine whether each of the following series is convergent or divergent. If it is convergent,…

Q: Let ā = - -71 – and 6 = −41 – 57. Find a. b -

A: Required answer is 33Explanation:

Q: Identify the inflection points and local maxima and minima of the graphed function. Identify the…

A: Given:  To Find:To identify the inflection points and local maxima and minima of the graphed…

Q: proved dy 2(x+1) ax if y = x²+x-10 x-z

A:

Q: Given: x³-3t, y=t²-5 = a) Find the points on the curve where the tangent is horizontal or vertical.…

A: Given: To Find: (a) The points on the curve where the tangent is horizontal or vertical.(b)  in…

Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being…

A: Given below solution Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the area of one petal of r = 9cos30

A: r=9cos⁡3θFor the area of one petalr=0cos⁡(3θ)=03θ=−π2,π2θ=−π6,π6−π6≤θ≤π6

Q: [ In(x² + 1) dx

A: integrate

Q: Question 6: Find the equations of the tangent and the normal line to the curve g(x) = the point…

A: As we knowThe equation of tangent line at the point with slope  is The equation of the normal line…

Q: Find f'(x) and simplify. f(x)=7׳ (x² -9)

A:

Q: Let ā = (−4, −5, −3) and 6 = (-5, −4, 4) Find a × 6. V >

A:

Q: if f(x)= 5 sin to the negative one power ( x to the thrid power) then what is f prime of x

A: The objective of the question is to find the derivative of the function f(x) = 5sin^(-1)(x^3). This…

Q: #7 Given f(x,y) = x³y-xy-2x. find and classify (min, maxer saddle) all critical points.

A:

Q: A company manufactures a units of one item and y units of another. The total cost in dollars, C, of…

A: We solve the given problem using the second derivative test.The Second derivative test :Let f(x) be…

Q: +x 2 1 dx X

A:

Q: A graphing calculator is recommended. in the viewing rectangles [0, 10] by [0, 1] and [0, 100] by…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about th…

A: Given the region is bounded by the curve  and line

Q: 5 A polar curve is given by r = (3-cos(e)) What angle corresponds to the point on the curve with an…

A: Hence the final answer is : θ≈2.42,3.86 Explanation:To find the angle θ corresponding to the point…

Q: Find all points of intersection of the graphs of the equations. r = 1 + sine r = 3 sinė Select one:…

A:

Q: equation of the line x = a+u₁⭑t y= b+u₂ *t Directional derivative = i + of j) • (u₁₂i + u₂j) дх ду…

A: Example 1The gradient of ∇fis <6, -5>. Example 2 (a) The directional derivative Da​f(1,1) is…

Q: please help solve

A: The objective of the question is to find the value of the function y at x=3, given that y is a…

Q: f'(s) = 10s - 12s³, ƒ(3) = 2

A: Find the particular solution for :

Q: Find a Cartesian equation for the curve and graph the equation. r = 6 cos 0

A:

Q: Let f(x) = x|x|. (a) Sketch the graph of the function. 2 y У 4 2 2 y 4 2 y X y X J -4 -2 -2 2 -4 -2…

A: a)4th graph is correct answer b) Differentiable for all real x  c) f′(x)=2xExplanation:

Q: 6. The Apollo's Chariot, a roller coaster at Busch Gardens, moves at 110 feet per second. The…

A: Since first two questions are already solved correctly, i solve third question according to our…

Q: (sin (sin x - - 6 cos x) dx

A:

Q: Find f'(x) and find the values(s) of x where f'(x) = 0. f(x)=(2x-27)(x²+60)

A: given function

Q: Use implicit differentiation to determine dy/dx given the equation x squared+y to the fourth power…

A: The objective of this question is to find the derivative of y with respect to x, denoted as dy/dx,…

Q: Can you solve y = ln(2x-3)  in a simple fashion?

A: The solution is x = (ey + 3)/2.Explanation:We solve y = ln(2x - 3) for x  by eliminating the…

Q: U-2 1.Ify= andu = x² +1, find ddy U+2 Χ at x=1. dx dx

A: The required derivative is:dxd​(dxdy​)=(x2+3)324−24x2​ The value of the derivative when x = 1 is…

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A:

Q: Evaluate the line integral foxy²²ds, where C is the line segment from (-1, -1, −1) to (1, 1, 1).

A: We have to calculate

Q: 1.18. Evaluate the sums: n Σκ2 k=1

A: To evaluate the following sum.

Q: For which values of t is the curve concave upward? (Enter your answer using interval notation.)

A: To find the values of  for which the curve is concave upward.

Q: Let f(t) be the temperature at time t where you live and suppose that at time t = 2 you feel…

A: Given that,f(t) be the temperature at time t where you live and at t=2 you feel uncomfortable.

Q: y- dy dx 3 (1+x) 2 = x³+x-10 X-2 اذا كانت

A:

Q: Complete the parametric equations of the line through the point (-6,1,-3) and perpendicular to the…

A: Point: (-6,1,-3)Plane: 6x-2y+2z=5