πρ 4. Show that the area of a circle sector with radius r cm and angle radians is 2 cm².

Q: Use the discriminant to  describe the number of x-intercepts of f(x)=4x2−24x+36.

A: Consider the function f(x)=ax2+bx+c  If  b 2 - 4ac>0 then f has two   x -intercepts. If  b 2 -…

Q: Equations Linear in Two Variables 2. (2x+3y-1)dx + (2x + 3y + 2)dy = 0 x(3) = 1

A:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: We have to find the value of c using Rolle's theorem.

Q: In this question, give all answers correct to two decimal places nivoliol srit bali Sam invests…

A: we need to find out the amount that Sam will have after 10 years.

Q: Question 2₁. :s) Consider the point P(2,-1,-4) and the vectors a = and 6 =. (a) Find the unit vector…

A: Given the points P(2,-1,-4) and the vectors a→=<-2,-1,2> and b→=<-3,2,2>. (a) The unit…

Q: If u = x2 + y2 + z2 and v = xy + yz + zx and w = x+y+z between is there a relationship between,w,v…

A: Concept: The concept of algebraic expressions is the use of letters or alphabets to represent…

Q: 2. Which of the series converge absolutely, which converge conditionally, and which diverge? Give…

A: (2). (a).The given series is:∑n=1∞ (-1)n1n

Q: 18. 2x² - 3y³ = 5; (-2,1)

A: Given query is to find the derivative.

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

A:

Q: 3. Continuous Compound Interest If $150 is deposited in bank that pays 5% annual interest compounded…

A: Question If $150 is deposited in the bank that pays 512% annual interest compounded continuously.…

Q: Find the area bounded outside r = 7 and inside r = 10.

A:

Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C…

A:

Q: The slope of the line passing through points A (2k, 3k-1) and B (k-1, k+1) is 1. Find the value of…

A:

Q: Solve the following word problems. Express all answers in simplest form with the correct units.…

A: Let us assume that the function y(t) = lb of salt in the tank at t min.  Now, we can write: y'(t) =…

Q: For the given function f (x,y) = ln (x³ + xy²), find f (1,1)

A: for fx  means derivative of f(x,y) with respect to x treat y as constant     ∂xn∂x=nxn-1…

Q: C. Let h(z) = 4x² - 46x + 22. Determine the root(s) of h. H= Preview

A:

Q: Let r(t) = (2+³/², cos(2t), sin(2t)). (a) Find the displacement from t = 0 to t = π (Hint: the…

A: Part a) We need to find the value of r at t=0 and t=π r→0=<0,1,0> r→π=<2π32,1,0>

Q: B. Solve the problems related to the application of First Order Differential Equations. 2.…

A: We have been asked to find half life of a radio active material which loses 25% of it's mass in 10…

Q: QUESTION 11 Find the first order partial derivative f (x,y) of the function y y 3 f(x,y)=9x³+ 3 ©…

A:

Q: Maximize the function f(x, y) = xy² on the ellipse ¹x² + y² = 1.

A: Given f(x,y)=xy2We need to maximize the function on the ellipse x29+y24=1

Q: Let f(x) = X a) Compute ƒ'(x) using the definition of the derivative: f '(x) = lim S (x + h)− ƒ (x)…

A:

Q: Find Q (0) where Q(x) = 1+r+r+re* 1-r+r_ret

A:

Q: Substitution Suggested by Equation 1. sin y(x + siny) dx + 2x² cos ydy = 0

A:

Q: Find the area enclosed by the x-axis and the curve 5. x = 1 + et, y = t-t²

A: Let's find area.

Q: Equations Linear in Two Variables 1. (2x + 3y - 5)dx + (3x - y - 2)dy = 0

A:

Q: 8.- Aright triangle with dimensions of X=3cm and y=41am if (x) is increasing at arate of 2cm / sec…

A: GivenIn a right angled trianglex=3cm, y=4cm   x is increasing at the rate of 2cm/secy is decreasing…

Q: Use these equations to find az/ax and az/ay for the following. x + y + z = 5xyz дz = əx əz ду =

A:

Q: The graph of the derivative f' of a function f is shown. a) On what intervals in f increasing or…

A:

Q: Determine the amount f money that must be invested now (time 0) at 7% nominal interest, compounded…

A:

Q: Given that n=0 1 X = 1 to x = X find the power series for = n= 1 n x" with convergence in (-1, 1), I…

A:

Q: QUESTION 2 af af Find and dx ду and then evaluate ƒ(2,3) and f(2,3) for the following function…

A: Given query is to find indicated derivative.

Q: Compute the divergence and curl of the following vector field: V = (sin(yz), sin(xz), sin(xy)).

A:

Q: A study of the progression of flu cases was made in a certain community.  P(t) represents the total…

A: NOTE: Refresh your page if you can't see any equations. . to find the growth rate, we need to take…

Q: Test the series below for convergence using the Ratio Test. n=0 ( − 1) "32n+1 (2n + 1)! The limit of…

A:

Q: x² (x² + 1)² 21. y = [(3x² + 2x + 2)(x- 19. y=

A: Since you have asked multiple questions in a single request we would be answering only the first…

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

A:

Q: Evaluate e fff e√x² + y² +2²dV where R is inside the sphere x² + y² + z² = 9 in the first octant R

A:

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

A:

Q: Consider the following. y = tan(x), y = 0, x= ; about x = 2 (a) Set up an integral for the volume of…

A:

Q: During 2015, a particular country's inflation rate averaged 1.2% a day. This means that on average,…

A:

Q: Evaluate f (x - y)(y – z) dV for the box B with dimension: [3, 6] × [0, 5] × [0, 5]. (Use symbolic…

A: Given: The dimension of the box:B=3, 6×0, 5×0, 5

Q: Given that f'(x) = 4(x + 2)(x + 5), The graph of f(x) at x = 3 is [Select an answer

A: Concept let a function f(x)  and its derivative is f'(x) at x = a if f'(a) >0   ---- then at x =…

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 元…

A:

Q: Find the area of the surface obtained by rotating the curve about the x-axis. 1 x=—=— (y²+2) ³/², X=…

A:

Q: Find the exact length of the curve. 6. x = 1 + 3t², y = 4 + 2t³; 0 ≤ t ≤ 1

A:

Q: Hi! Can I have some examples solved. I need to learn how to solve these fraction equations, show can…

A:

Q: n an=1+ (0.9)"

A:

Q: Blood Alcohol Level The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid…

A: Given, A(t)=0.26te-0.4t

Q: 17. f(x) = 2x³ + x² − x + 3

A: The given function is fx=2x3+x2-x+3. We have to find the critical numbers and increasing and…

Q: 3. (a) Suppose that f'(x)=√(12-5x), and ƒ(4) = 3. Find f(x). Show all work. (b) If g"(t) = 3 cos(t)…

A: