is a factor of 2 + 5z2 – 5x +1. - O I+1 O 2z +1 O +2 O 2x -1

Q: Determine the intervals on which the given function is concave up or concave down and find the…

A: Solve the following

Q: The force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of sec x…

A:

Q: f (x) = (x + 1)º – 9x – 2 %3D (a) Find the intervals on which f is increasing or decreasing (b) Find…

A:

Q: Find y ify=xIn(9x+1) 2.

A:

Q: Type the correct answer in each box. Create a matrix for this linear system: (3x+2y+z D26 I-4y -11…

A:

Q: TUTOR %3D for the function

A: The given equation is: 4x2+x3y+y2=6...(1) To find the slope, that is dydx, at Q(-1,2)

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A: Given query is to find the series converges or diverges.

Q: Step 2 Fx) dx = 1 To evaluate f(x) dx, substitute f(x) c In = - Therefore, f(x) dx =

A: We have to evaluate given integral

Q: Identify whether the given is a discrete or continuous variable. 1.The number of arrivals in an…

A:

Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the…

A: Please see the below picture for solution.

Q: dz and dy dz Suppose z is a function of x and y, and tan Vy² + x2 = 2"e®y_ Solve for

A:

Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

A:

Q: Find the area of the shaded region. y y = x2 + 1 ... y = x -1 2

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Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. F(x) = (t° + 8t – 4) dt F(x)…

A:

Q: Evaluate this double integral. Avoid integration by parts. Hint: Can you reverse the order of…

A:

Q: 0 in quadrant II, find the exact value of: 81 If sin 0= sin 0+ sin 0+ 6. (Type an exact answer using…

A: topic - trigonometric identities sin(a+b)=sin(a)cos(b)-cos(a)sin(b)

Q: If S; (x²-1)(2x-x*) dx can be resolved into A S+ B S f(x)dx + D S g(x)dx , then x²+x-2 lim, ° dx +…

A: Partial fractions: The fractions needed to decompose a rational equation are called partial…

Q: y=x nd y=x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the solid…

A: The given curves are; y=x2 and y=x+2. And the bounded region is as shown below; Apply the circular…

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Let's find.

Q: 1. Find the most general antiderivative of the function f(r) = + sin(4 -r)+ 7e dr

A: We have to find antiderivative of given function

Q: Example:- Find the general solution of 1) xdy – ydx = 0 2) xcosh(y)dy – sinh (y) dx = 0 3)2dx –…

A: We need to find general solutions.

Q: division

A: We will solve using long division method.

Q: Determine if the point A(4, -7, 8) lies on the plane: T1 : [x, y, z] = [-3, 2, 9] + s [2, 3, –7] +t…

A:

Q: Identify whether the given is a discrete or continuous variable. 1.The temperature of a cup of…

A:

Q: 3. If f(x) = [ 8+f dt ,find f'(1). .

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Q: c) Find the general solution to the differential equation = 3x(y + 8).

A:

Q: y y =x - 4 y =/2x + 8 4 6 10 x -2- -6+

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: 1. Calculate the area of the graph enclosed by the curve y = sec(2x)tan (2x), the x-axis, and the…

A:

Q: Use the figure to evaluate the following function, given that h(x) = tan x. (Simplify your answer.…

A: This question can be solved using the concept of trigonometry.

Q: 3. Write z = 12.2 - 31 in polar form. Use 3 decimal places.

A: The objective of the question is converting to polar form.

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. Write the given…

A: To find out the value of integral using the midpoint rule.

Q: y = x and y = x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the…

A: We use circular ring method.

Q: 8. Find y'ifys34-7x+2)+4%-2

A: Differentiation

Q: 1. Find a power series representation of In(1+x²) and determine the radius of convergence. Eind the…

A: 1.

Q: The integral of the given function sin³x cos x dx is equal to а. 1/3 b. 1/4 с. 1/5 d. 1/6 e. None of…

A: To evaluate: I=∫0π2sin3x cos x dx

Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. :- F(x) = (t + 8t – 4) at F(x)…

A:

Q: Given sin 0=- determine all possible values of 0 over the interval [-2n, 2n]. 2'

A: Given query is to find the value of the Indicated angle.

Q: Find the absolute maximum/minimum value for f(x)=x² – 4x+1 on the interval [(-3, 3] 9.

A: Given: fx=x2-4x+1 and x∈-3,3   The Power law: ddxxn=nxn-1

Q: 9. Verify the identity 1 1 = 2 sec² x 1-sinx 1+sin x

A:

Q: Solve y’’ – y’ + y = 2sin(3x)

A:

Q: Step 1 To find the definite Integral 9 dx by the limit definition, divide the Interval [2, 7] Into n…

A: For the asked steps we can solve as follows.

Q: Find an interval of t-values such that c(t) = (cos t, sint) traces the lower half of the unit circle…

A: Given that ,  c(t) =cost, sint,  we have to find an interval of t-values such that it traces the…

Q: 26 State the Fundamental Theorem of Calculus . you must state the first and the second fundamental…

A: On solving this we will get

Q: I. Show that the function f defined by (1, y) = (0,0) %3D f(r, y) = (1, y) # (0,0) I+ y is not…

A:

Q: Solve using product rule d(uv) = u dv + v du: f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A:

Q: The area bounded by y =3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Solve the following

Q: Radius and Interval of Convergence of a Power Series. 00 Determine the radius and interval of…

A: Solve the following

Q: 5. For vectors given the vectors v =(-4,-3) and w (-1,-1), find: (a) Sketch, v+w below. Find its…

A: We can solve as follows

Q: a. 0 =-45 → graph type = b. r= 8-8cos0 graph type = facing up/down/left/right? loop length = c. r=…

A: (a) θ=-45°Graph type straight linesymmetry along first and third quadrant     (b) r=8-8cosθgraph…

Q: ind all the relative extrema and saddle points, if any, of the given function below: f (x, y) = ln(x…

A: Relative extrema and saddle points: Consider the function f(x,y)For critical points , fx(x,y) = 0…