15. Minimum sum Find positive numbers x and y satisfying the equa- tion xy = 12 such that the sum 2x + y is as small as possible.

Q: Differentiate the function f(x) = 7√x - 2. (Use symbolic notation and fractions where needed.) f'(x)…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform.(Write your…

A:

Q: Question 6 Given the function,y = 7a-3 which of the choices is the correct fourth step based on the…

A:

Q: Find curl (4zi + 5x j + 6yk). url(4zi + 5x j + 6y k) = (i )i + (i )j + ( i

A: Topic:- vector algebra

Q: A store is deciding what types of fruit to stock nearest to the registers. They can either stock…

A: Let's find maximum potential revenue fruit.

Q: a)lim              (e^-x)(x^2+sinh(x+2))    x->∞   b) Find the point where the tangent to the…

A: find limit solve the parametric equation

Q: BIARI dr x Cos (1-1)dt b) sin² x c) cos³ x d) - cos²x

A:

Q: Find the arc length s of the curve y= x2 on the interval  [0,2]

A: The objective of the question is determine the arc length of the given function.

Q: 4. If x= sin² and y = 1 when x = 0, then find the value of x when y = 3. 0 O 8 None of these

A: Topic- differential equation

Q: Q13) S 3+eZx dx

A: we can solve this as follows:

Q: press -2√3-2i in the form ree with 0 ≤ 0 < 2T. 4e 3 4e 6 4e 2 i -2 4e +i 4e Fi

A: Given the query is express the complex number in the Indicated form.

Q: Use the Laplace transform to solve the given initial-value problem. 2t y" - 3y' = 8e²t - 2e-t, y(0)…

A:

Q: Evaluate the line integral curve C : x = 4 cost, y = 8 sint (0 ≤ t ≤7 < NOTE: Enter the exact…

A:

Q: Solve the equation on the interval 0≤0<2t cos 05 (20-7)=1 What are the solutions in the interval 0…

A:

Q: H.w: Find the LT of the following functions: 3-f(t) = cosh at cos at

A: Given, f(t)=cosh at cos at

Q: A 10-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A:

Q: Q1: Solve Ine +4-2= log10 100 for x b)x=0 a) x=1 c)x=(1,-1) Q2. If f(x)=x (2 Inx-3) Find f'(x) a)…

A:

Q: Find the limit using l'Hospital's rule when appropriate. Find the limit as x approaches 0 of…

A: L'Hospital Rule :-  If a function f(x)=p(x)q(x)  then limx→af(x)=limx→ap(x)q(x) is of the form 00…

Q: Evaluate: lim, __.—3 (√22² — 10) (2²+x-6)

A:

Q: Consider the following. x = sin(10), y = cos(0). (a) Eliminate the parameter to find a Cartesian…

A: Given problem:- x=sin(θ/2) , y=cos(θ/2) , -π≤θ≤ π  Eliminate parameter and find Cartesian equation…

Q: D Question 11 Find the slope of the tangent line to the curve y=rarcsin z at the point 02 √3 01/ O O…

A:

Q: ² x (√x + √x) dx

A: We know that integration power rule is  Integration of xn is xn+1/n+1 + C. Here C is integration

Q: product

A: Please refer to the image below

Q: Exercise 2. Plot the graph of the function given in polar coordinates tanh0 0-1' 0 > 1 Write…

A: Given; r=2tanθθ-1since θ&gt;1 (radians)

Q: Use the function f and the given real number a to find (f ¹)'(a). (Hint: See Example 5. If an answer…

A:

Q: Find a unit normal vector for the following function at the point P(−4,3,−64)P(-4,3,-64):…

A: We have to find the unit normal vector of the given function.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Topic- Absolute Extrema of a function

Q: Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile…

A:

Q: The marginal average cost of producing x digital sports watches is given by the function C'(x),…

A: Topic- Functions

Q: is said to be the Laplace transform of 7, provided that the integral converges. (()). (Write your…

A: We have to find the laplace transform of given function.

Q: Find the first partial derivatives of the function.

A:

Q: O Question 9 Find f'(a) if f(x) = arctan(In z). 1 z (1+x²) 1 a sec²(In 2) 1 1+ (In 2)² 1+ 1 ()* 1…

A: To find the derivative of given function.

Q: Find the Laplace transform of coshbt. Recall that coshbt = OL{coshbt} OL{coshbt} O L {coshbt} O = =…

A:

Q: 9. If dy = xy² and if y = 1 when x = 0, then when y = 3, x is equal to dx 0 -0 DIE

A:

Q: 22. Here is the region of integration of the integral ILS c. dx dy dz e. dz dx dy. (0, -1, 1) (1,-1,…

A: Given data:- Region of integration of the integral ∫01∫-10∫0y2dzdxdy

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: The given function is: fx=x4-5x3   As we know that; If f''x&gt;0, then we get the interval where the…

Q: A tank contains 300 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram…

A: Solution of given question is written in below steps.

Q: An electronic games manufacturer producing a new product estimates the annual sales to be 4000…

A: According to given, Inoperative units= 1% Therefore, Operative units= 100-1 =99% =0.99

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: NOTE: Refresh your page if you can't see any equations. . the population growth function is given by…

Q: 5- The table below shows the speed-time change of an athlete in a 20-minute running period. The…

A: Given, I=∫020v.dt The Simpson Method and the Trapezoidal Rule are used to complete the integration.…

Q: A particle moves along a line with a velocity v(t) = -t² + 3t - 7, measured in meters per second.…

A:

Q: a) xin x-x Q3. If f(x)=x+2e b) 2 b) 4xln x-4x then find ¹)'(2)= c)-2 b) 2 d) 1

A:

Q: Sketch both parametric curves below. Then determine if they intersect they intersect, find the point…

A:

Q: (Question #1, 2, 3, 4, f(x)=x²e* f(x) = et'nx f(x) = ln(4x³ + x) 1. 2. 3. ror the following…

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Q: K Begin with the graph of y=e*. Use transformations to graph the function below. Then determine its…

A:

Q: Fill in the blank. (Enter your answer in terms of t.) {{ D 1 (s-7)³)

A:

Q: d the following for the given equation. r(t) = (et, 6t², 8 tan(t)) (a) r(t) = (b) r"(t) = (c) Find…

A: Topic:- application of derivatives

Q: Sec-S 2 1 TanOLO

A:

Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

A:

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.)…

A: O