The value of √(-25) is * O -5i O 4i O 5i O-4i

Q: 4) If y = 2√x - 2 tan-¹ √x, then y 1 -1 1+x²*

A: We have to find y' for the given function.

Q: Suppose that the piecewise function f is defined by Determine which of the following statements are…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: Q5) Find dw/dt at the given value foe the following functions 2) w = 2ve* - lnz.x = ln(t+1), v =…

A:

Q: * Parallel lines have the slope (m1x m2 )= -1 true O False

A:

Q: a) Graph the function f(x)=2x-5x + 3. b) Draw a tangent line to the graph at the point whose…

A:

Q: }} If y cos(xy) dydx = x=0 y=0

A: Here we have to find the integral.

Q: 6y²dx − x(2x³ + y)dy = 0.

A:

Q: Determine whether the differential equation - (2x² − 2xy + 5) dx + (8y² − x² + 2) dy = 0 is exact.…

A: The given differential equation is;  (2x2-2xy+5)dx+(8y2-x2+2)dy=0.

Q: 1. g(x) = Sin 39 COS 32 5 ㅈ

A: The objective is to differentiate the equation.

Q: f(x) = 5x + 3x4 -8x²+2x+9 Degree:

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Consider the position function below. r(t) = (1-16,5-4t²) for t≥ 0 a. Find the velocity and the…

A:

Q: 5. Evaluate each geometric series or state that it diverges. (a) [2(-6)-k k=0

A:

Q: B)Convert 20= tan¹r to cartesian.

A:

Q: 1 A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is…

A:

Q: * Parallel lines have the slope (m1x m2 )= -1 true O O False

A:

Q: Which one of the following is the gradient of the tangent line at the point (6, -3) on the graph of,…

A:

Q: 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then pumped into the tank…

A:

Q: Q:5) A) Use the definition to determine whether the series converges or diverges 530+2 اسور

A: First I have written the Ratio test for Convergences of a series and show that , given series is…

Q: TU The result of f fysinxdxdy = O 1 O -1 O 1.5 O -1.5

A:

Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A:

Q: Find y' if y= y' = x5-4x²+4 2 X

A:

Q: Find the values of x and y - SX+(s+6) Y=1 (3-s) X-2sY= -8 ..... (1) (2) ...

A:

Q: Q6) Test the convergence of the following (n+1)(n+2) 1) Σ=1 n!

A:

Q: 2x² + 3 Find f'(x) given that f(x)= x² - 5x+2 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ -…

A: I am attaching image so that you understand each and every step.

Q: 6 6 Suppose ff(x) dx = −4 and g(x) d -4 3 3 6 Evaluate (3 f(x) — 3 g(x)) dx. 3 Remember to include a…

A: Given that ∫36f(x)dx=-4   and ∫36g(x)dx=-3 we have to calculate , ∫363fx-3gxdx. To solve this…

Q: 7. Use the Divergence Test to determine whether thee following series diverge or state that the test…

A:

Q: 3) Use the definition of derivative (do NOT use the short cut method) to find_ƒ'(x) given that f(x)…

A: This question is based on finding slope using definition of derivative.

Q: Directions: Determine whether rational equation, rational inequa solutions in your activity noteboo…

A: As per the company guidelines We can first three parts   only. Please understand. Kindly repost the…

Q: Use the graph of f to evaluate the following: 6 + f(x) 5 X 4 رها 3 N 1 1 2 4 5 The average rate of…

A: Equation of slope:  Slope =(y2-y1)/(x2-x1) The average change of the function over the given time…

Q: Consider a hemispherical tank that is completely filled with water. The water exits the tank from…

A:

Q: Use the graph and the function to find the following. a) Find lim k(x). X→-1 b) Find k(-1). c) Is k…

A: We need to check the continuity of the given function in the shown graph.

Q: 11. A hockey player, on left defense, is about to take a shot on net. The net is 1.83m wide. The…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

A:

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: We can solve the differential equation.

Q: 4. Use Trigonometric substitution method to evaluate the integral: dx

A:

Q: For the following set of planes, determine which pairs of planes in the set are parallel,…

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

A: Please see the below picture for detailed solution.

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A:

Q: Evaluate the following double integral over the region R by converting it to an iterated integral…

A:

Q: The value of n when integrating the following function using Simpson's method is: [2²/ dx h = 0.2 >

A: solution is given below

Q: Consider the following. f(x) = { J-7x, X ≤ 4 1x² - 2x + 7, X > 4 Find the x-value at which f is not…

A:

Q: [1 if A= 2 13 23 2 1 -2 find det (A) if 3 3 -1. 6 O 38 O 16 O 18 O 48 O

A: The solution is given in the next step.

Q: Let G=7f-g, where the graphs of f and g are shown in the figure to the right. Find the following…

A:

Q: Find the equation of the plane tangent to the following surface at the given points. x² +…

A:

Q: Z Z 2 J 0 iei(n+1)0 de

A:

Q: Find the exact value, if any, of the following composite function. Do not use a calculator. 3x tan…

A: Using fact that arctan(tan(x))=x

Q: 3 -21 3 -1 The Cofactor Matrix is :- -3 0 [-3 0 12] 606 6] 36 ن من من IF A [-3 0 12] 606 3-6 6…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A: Newton’s Law of Cooling Formula The greater the difference in temperature between the system and…

Q: WA #

A: