Which of the following is a valid formula for the instantaneous rate of change of the function f(x) = ?

Q: (8) Find y' using implicit differentiation method: Sin(y) =sin(x) cos(y) + 4

A: To find

Q: 3. Find the equation of the line or plane a) Plane parallel to the lines r= (1,2, -3) + t (-1,0, 4)…

A:

Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x,…

A:

Q: For the vectors ä = (2,p, 8) and b = (q,4, 12), determine values of p and q so that the vectors are:…

A: Given:We are required to:

Q: d the derivative dr do for r 2007 cos 0 =

A: We find derivative value.

Q: Find the first partial derivatives of the function. Əw au Əw əv || || W ev u+v8 -e¹ (u+v²)² X

A: Given

Q: 1. The graph of y=f(x) is shown below. Sketch the graph of its derivative function. y = f(x)

A: Given :-  The graph of  is shown below.

Q: Show that y = √√C-2x² is a solution of the differential equation particular solution that passes…

A:

Q: 3. Show that Hence find x¹ - x² + √√x X x³ = x+x==²= P - [ 2² = 2² + √² dr. X

A: We need to perform integral.

Q: Using the variation of Parameters method, find the general equation and deferential equation.

A:

Q: (a+b) The angle between vectors ifa+b=5 a=3 units and units. and a is 90°. Calculate to one decimal…

A: The angle between vectors  and  is 90 degrees.

Q: 30. The population of a bacterial culture was 5000 bacteria after 15 min and 40 000 bacteria after 1…

A:

Q: A large tank is filled to capacity with 400 gallons of pure water. Brine containing 2 pounds of salt…

A:

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. 10 9 8- 7- -6- 5- -1 0 N. -3…

A: (i) To estimate the slope of the tangent line to the curve in the following figure.(ii) To estimate…

Q: following problem. Find only an appropriate Green's function for the y"(x) + w²y(x) = f(x), 0 ≤ x ≤…

A:

Q: Please draw a picture and label the answer and write the answer in radical form and decimal form…

A: If a ladder 8 feet long is placed so that it just reaches a window 6 feet from the ground, then to…

Q: (e) Separating out the K and J terms, you now have a term of the form and bottom by a constant you…

A:

Q: 79. For which values of P n² n=1(n³+1)P does Σ converge?

A:

Q: 3) A metal box is constructed, and it's planned to have dimensions of 120 cm by 50 cm by 75 cm. If…

A:

Q: (2) True or False: a) Local extrema can only occur at critical numbers.__ b) Everywhere there is an…

A: As per bartleby guidelines only one question is allowed to solve with maximum 3 sub parts , so here…

Q: 6. f(x) = X a. lim f(x) x-0* b. lim f(x) X-0 c. lim f(x) X-0

A: f(x)=|x|/xFind the limit at 0.Find the right hand limit and left hand limit at 0.

Q: Calculate the double integral. J (2y + xy-2) dA, R = {(x, y) | 0 ≤ x ≤ 2,1 ≤ y ≤ 2}

A: We have been asked to calculate the double integral.Region

Q: A slice of a circular pizza 10 inches in diameter is cut into a wedge with a 90° angle. Find the…

A:

Q: Consider the region, R, bounded above by x = -√√25-y +2 and x = y +7 and bounded below by the…

A:

Q: 3. Differentiate sin a 1+cos z with respect to x and hence, find S -dx 1+cos a

A: We need to first differentiate then solve integration.

Q: For the function shown in the graph, give the interval(s) where the rate of change of f(x) with…

A: For the function shown  in the graph, to give the interval(s) where the  rate of change of  with…

Q: Using cylindrical shell method, find the volume of the solid S: R is the region bounded by x= y²+1…

A:

Q: 38. f, f(x) dx where f(x) - -{-x if -24x50 4-x² if 0<x<2

A:

Q: If y = (sin x)², then find O O dy dx (sin x)ª (x cot ä + ln(sin x)) (sin x)” (x cos x + sin x) (sin…

A:

Q: stance in between the point P

A:

Q: 7. Find the scalar equation of any plane which contains the line 7 = (3,2,-1) + t(3,-2, -1)

A:

Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 7. R is the…

A:

Q: Find the derivative of the given function. y = (x2 - 4x + 4) e9x/4 기 = dx

A:

Q: Consider f(x)=2- Instruction Find the x- intercept and y- intercept Find the vertical asymptote and…

A:

Q: A 9-ft pendulum swings through an angle of 40° 36'. What is the length of the arc that the tip of…

A:

Q: a S 29 O 2 уч ua * 2 Lady

A: Given data

Q: the

A: Solving the problem

Q: 9. Determine the exact point on the line x + 2y = 2 that is closest to (0, 0).

A:

Q: The rate of healing, A'(t)(in square centimeters per day), for a certain type of abrasive skin wound…

A: t01234567A'(t)0.910.870.720.670.610.510.480.43

Q: Find and sketch the domain of the function: f(x, y) = 25-x² - y² In(xy)

A:

Q: 10. Given X(7,3) and Y(-6,2), find the coordinates of any point Z such that XZ XY = 41. .

A:

Q: Find a Cartesian equation for the curve. r2 = 11

A:

Q: Find the area enclosed by The Curve r= 3 cos 26 • loop of One

A: Given the curve is:r=3cos(2θ)We need to find the area enclosed by one loop of given curve.

Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 2. R is the…

A: Given :- R is the region bounded by y=x²+1 , and the lines y=2 and y=5.To find :- The area of region…

Q: j(x) = X 9. j(5) = x-5 X j(x) 10. lim j(x) as x->5 = 11. j(0) =

A: J(x)=(x-5) /x

Q: Suppose f(x) and f'(x) have the values shown. X 0 1 2 3 f(x) 10 8 9 7 f'(x) 7 8 6 4 5 4 3 لا Let y³…

A:

Q: 4. In the symmetric equation line. (. x-1_y+2 3 = -1 -2, explain in words how a student would…

A:

Q: Question 3. a. Use Cramer's rule solve the following system for x and y b. Let A - ( ₁ = 4 1 x - 2 x…

A:

Q: 13. The plane passes through D(2, 5, -4) with normal n = (2, —1, 3). Determine the Scalar Form of…

A:

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A: