Given a = (-5,7) and u = (9, -4), find 3ã + 4ū. 3a + 4ū =

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

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Q: If sin x = 4 , x in quadrant I, then find (without finding x) sin(2x) = cos(2x) = 5 Enter a…

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Q: Find f'(x). f(x)= 2x 29+ In x

A: F′(x)=(29+lnx)22lnx+56​Explanation:If you have any problem let me know here in comment box for this…

Q: Given that f(x) Lπx) dx = 6 and [F(x) (a) L₁ F(X 0 f(x) dx f(x) dx = 9, evaluate the following.

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Q: Find the derivative. dy dx dy - if y(x) = 2 x+3 dx

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Q: The graphs of f and g are given. Find a formula for the function g. g(x) = 3 Need Help? -2 g Read It…

A: 2|x|Explanation:When input x is 1 then g(x) function gives output as 2. At x = -1, the function…

Q: y = = Find the equation of the curve that passes through the point (2, 2) if its slope is given by…

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

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

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: Suppose you want to have $700,000 for retirement in 20 years. Your account earns 4% interest. a) How…

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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 Let 0 be an angle in quadrant I such that csc0= Find the exact values of tane and cos 0. 4' v

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Q: #8 Find the average rate of change of n(x) = √√x-1 from x = 5 to x = 10. SHOW ALL WORK!

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Q: Let à =. Find |ā|.

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

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Q: dy/dx=x-1 given (2,-2)

A: The objective of the question is to find the derivative of the function y with respect to x at a…

Q: If a person takes a prescribed dose of 4 milligrams of Valium, the amount of Valium in that person's…

A: Given that a person takes a prescribed dose of  milligrams of Valium, the amount of Valium in that…

Q: Colin buys 9 tacos and 7 enchiladas for 77 dollars. Colton buys 4 tacos and 8 enchilladas for 44…

A: The objective of the question is to find the cost of one taco and one enchilada. We can set up a…

Q: Solve y''+3y' = 6-2e3x by undetermined coefficients.

A: The general solution to the differential equation y′′+3y′=6−2e3x by the method of undetermined…

Q: Find the area of inside = 22cose and outside = 11 by sketching the graph of the equations using the…

A: Option B is correct.Explanation:Graph. If you have any problem let me know here in comment box for…

Q: 2) a) Write the following curves in parametric way z(+) = x (H)+ight) 1) zz + i (z-7)-2=0 is) Im ( 2…

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Q: Find f'(x). f(x) = (8+ Inx)³

A: The objective of the question is to find the derivative of the function f(x) = (8 + ln(x))^3. This…

Q: A. Find S'(t) B. Find S(20) C. Find S'(20)

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Hello, I am currently stuck on this problem in the alternating series section of series and…

A: The problem involves analyzing an alternating series, given by the equation:[ \sum_{n=1}^{\infty}…

Q: (c) u = 2 x = a²ß, y = 32, t = √²α; u when a = -1, 3 = 2, y = 1 მ მ3 მ ди ди ди

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Q: 1. Find the value of the expression lim x²+x+21 X-3 x-1

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Q: 4 S 2 3 sin 3 -cos e -de 2 π sin 20(sece + cose)² 6

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Q: Find f'(x) and find the value(s) of x where f'(x) = 0. f(x) = x²+36

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Q: Find the inverse Laplace transform of the following: (a) X(s) (b) Y(s) 6 s²²+8s+41 360 (s+4)6

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Q: Find f'(x). 15 f(x)=(3-4x) 15 f'(x)= ☐

A: We have to find the derivative of the function

Q: Let s(t)=4t to the thrid power+30t squared+72t be the equation of motion for a particle. Find a…

A: Part(a) :  v(t) = 12t2+60t+72 Part(b) :  t = -3 and t = -2 Part(c) :  a(t) = 24t+ 60Explanation:

Q: dy/dx=3x2 given (0,-2)

A: The objective of this question is to find the solution of the given differential equation dy/dx =…

Q: (f'(x))² = 4 (52 – 8) - 25 = 20x 32 (f'(x))2 into the surface area equation above to find Surface…

A: To show

Q: Find T and N for the space curve, where t> 0. r(t)=(7 cost+7t sin t)i + (7 sin t-7t cos t) + 3k T= i…

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Q: #8, Griven fry) = x²+ y²xy-3x find and classify all critical points.

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Q: n Find the length of the curve = 3 over the interval 02π. Select one: a. 9π b. 2π C. TT d. 6π e. 3元

A: Length of the curve r = 3 is: 6π Option d. is correct.Explanation:Step 1:The arc length of a polar…

Q: lim (x,y)→(1,1) 2x² - xy - y² x² - y²

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Q: Write the expression as the​ sine, cosine, or tangent of an angle. Then find the exact value of the…

A: The objective of the question is to rewrite the given expression in terms of sine, cosine, or…

Q: Find f'(x). f(x)=4xex

A: The objective of the question is to find the derivative of the function f(x) = 4x * e^x. In…

Q: Find the length of the curve x = ey + ½ ½ e˜³, 0 ≤ y ≤ 6.

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Q: Problem #9: (a) Given the initial value problem y3y 10 sint, y(0) = 9, find the Laplace transform of…

A: Answer Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Find the value of the expression lim t→ꝏ -e-3t +5

A: The objective of the question is to find the limit of the expression -e^-3t +5 as t approaches…

Q: Let h(x, y) Y-3 = (x-4)² Graph the boundary of the domain of h below. 7+ 3 6 5 4 -7-6-5-4-3-2-1 2 1…

A: given function

Q: Homework

A: To minimize total production costs, we need to find the values of L and K that will maximize…

Q: (d) Horizontal asymptotes. (e) Intervals where f is increasing and decreasing. (f) Local minima and…

A: Given: To Find: To determine the following: (d) Horizontal asymptotes(e) Intervals where f is…

Q: Answer: Suppose f(x) is continuous on [2,8] and -5 f'(x) ≤2 for all in (2,8). Use the Mean Value…

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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: The demand, D, for a new rollerball pen is given by D = 0.007p³ -0.4p² + 130p, where p is the price…

A: The demand D, for a new rollerball pen is given by D=0.007p³-0.4p²+130p,where p is the price in…

Q: . Let G(x)= x+3)2, if x ≤ -1; 2-x if 1<<1; Find all values of a where G is not continuous. , if x 1.

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Q: Which of the following statements are TRUE? Select all that apply. If F(x) is an antiderivative of f…

A: To determine the true statements.