4. When finding the derivative of a fraction you have to use the Quotient Rule. 5. The derivative of f(x) = √√x has the same domain as the f(x).

Q: Find dy/dx for the following function:: √y-etanx = 2

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Q: X (X+2)5 d x

A: Explanation of the answer is as follows

Q: Manawa is using Gaussian Elimination with matrices to solve a system of equations in the variables…

A: The augumented matrix,1-3-9401530214p

Q: The base of a three-dimensional figure is bound by the line y = -x + 3 on the interval [-1, 1].…

A: Here, the cross-section is perpendicular to the x-axis. Therefore, the area is a function os x.

Q: Find the absolute extrema of the function f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. 1. Find the…

A: Graph: For (1), Given: f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. From the graph, it can be…

Q: A ship leaves its port and sails on a bearing of N35°30'E, at speed 24.8 mph. Another ship leaves…

A: This question is related to cosine formula of traingle , we will solve it using given information

Q: e tangent to the function f(x

A:

Q: Determine the Cartesian equation of a plane that passes through a point (2,1,-5) and perpendicular…

A:

Q: Solve the following differential equations of d²y dx² +9y=2e³x +18x+18

A: The given differential equation,      d2ydx2+9y=2e3x+18x+18

Q: Home Work: Solve the following system of equations. 1 -1 2 0 2 -3 1 -4 3 X₂ 14 1 -4 5 -1 X3 -1 4-2…

A: We can solve the given system of equations.

Q: O cos y (cos x + 1)

A:

Q: 3) Cindy will require $18,000 in 7 years to return to college to get an MBA degree. How much money…

A:

Q: dv -x +z=lz N

A: Given :dvdz=e-xz

Q: Which one of the following functions is odd? Oy = 3x² = Oy y = 3x y = x³ Oy=3+x What is the parent…

A:

Q: A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the…

A:

Q: Q5 / S[x √ 2x-1 dx

A:

Q: S d0 cosh 0 + sinh

A:

Q: x² 3 (x + 2)5 S dx

A: ∫un du = un+1n+1+C

Q: Which graph represents the function f(x) = x+1?

A: In this question we have to find which graph represent the given function.

Q: claurin series for the given function. e² - e- 3 2 lor series generated by the function f

A:

Q: 3- If √secx + 5cosx find y

A:

Q: 12. The modulus of elasticity of the spring is given as 270,000 N/m. find the work done in…

A: k=270000 N/ma = 0b = 1 mm = 0.001 m

Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

A:

Q: The region in the second quadrant bounded above by the curve y = 4-x², below by the x-axis, on the…

A: Solution is given below:

Q: 5x - 3 √(x+ - 4x³ + 14x² - 20x + 25) - - dx

A:

Q: Consider the following curve. y = (x+2)/(x-6) Find the slope m of the tangent line at the point (5,…

A: Here we have to use the concept of derivatives

Q: Find the critical points of the function f(x) = 2x3 + 3x2 − 12x + 5.

A:

Q: Find a vector perpendicular to the 2-space line: Qx - Ny + R = 0

A: Please see the below picture for detailed solution.

Q: Find the Wronskian of the functions f(t) = 3et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

A:

Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2,-4), (-2, 6), foci at (-2,-5),…

A: Given,  Vertices: (-2, -4), (-2,6), Foci: (-2, -5), (-2, 7)

Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2, -4), (-2, 6), foci at (-2,-5),…

A: given foci =(-2,-5),(-2,7) vertices=(-2,-4),(-2,6)

Q: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

A: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

Q: 2 Let f(x) = 4x² - 3 to find the following value. f(t+1) Don f(t+1)=

A:

Q: 3. Form a differential equation by eliminating the constants a and b: y = ax² + bx

A:

Q: The displacement (in feet) of a particle moving in a straight line is given by  s = (1/2)t2 − 9t +…

A: Use instantaneous velocity concept

Q: Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y - 5z…

A:

Q: form: 2)If z=(2√3-2i)² then the angle 0 in polar 71 117 6 6 خیار 1 117 3 خبار 2 خبار 3 O

A:

Q: y = 2 sin(x), y = ex, x = 0, X = K|N 2

A: The region bounded by the curves,  y=2 sin(x), y=ex, x=0, x=π2

Q: (6) Solve the following differential equations of y jus 2 (2x² + y)dx + (x²y-x)dy=0 3- - 4.

A:

Q: ample 23: Show that the function f(x)=1-1-x is continuous on the interval [-1. 11.

A: A function y=f(x) is continuous in an interval [a,b] if it exists for every x∈[a,b] In other words a…

Q: Part 2. Find the Standard Equation 2. circle with center at (4,-5), diameter is 6

A: Standard form of Equation of circle is {(x-h)^2}+{(y-k)^2}=r^2 Where, h,k = center of circle =…

Q: Evaluate the integral f sin²x cos³xdx.

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Q: d²y dy 2. +4 + 4y = 0, when x = 0, y = 1, y' = -1 dx² dx

A:

Q: The point (-1,-4) lies on the circle whose center is at (3,-1). Write the standard form of the…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then…

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Q: 3: Evaluate the following integrals: (2) 4*+23x - dx 2x

A:

Q: Find a differential equation whose general solution is 7t y = c₁e²t + c₂e-5t = 0

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Q: [x² (-2 + x² )* dx

A:

Q: Find the scalar and vector projections of b onto a. a = (1,6), b = (-7, 1) compab = projb =

A:

Q: Q1: Solve integral the following: 1- fx.√x-8dx 2- sin 2xdx

A: 1.∫x.x-8 dx2.∫0π4sin2x dx