Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter the general solution in terms of x, where x is any real number.) 1* —1/2y = 2x 10y = -80 + 4

Q: Find the area of the region bounded by the cubic y= (x + 2)(x - 1)(x - 3) and the x-axis. Write your…

A:

Q: Evaluate xdx A√²+x+1-³x+2+ √(x + 2)² +²1+C B. √² + x + 1 - ² 1 x + ³ + √(x + 2)² + ² 1 + C…

A:

Q: 9x¹+x x-100 2x¹45x²-x+6 iv. lim

A: Given limx→∞ 9x4+x2x4+5x2-x+6

Q: 5: Find the volume of the solid which is generated by rotating the region bounded by y=√x, y=x-2 and…

A:

Q: Use the first derivative test to find the location of all local extrema in the interval (0, 4) for…

A: The given function is f(x)=-5x+3 ln(x)

Q: 7. Which of the following statements is true? The volume of the solid formed by rotating the region…

A: Volume

Q: Consider the given function, h(x) = -x² +6x-13. (a) State whether the graph of the parabola opens…

A:

Q: Step 4 As per the trigonometric substitution x = tan 0, the following triangle is obtained. csc =…

A:

Q: Evaluate: AT -dx B. 이집 는 d 를

A: Evaluate the integral ∫0πxsinx1+cos2xdx

Q: Evaluate the integrals: i) ² ²2 xe dy dx **² -xz

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Express the integral in terms of the variable u, but do not evaluate it. So e15x-14 dx; u 15x - 14…

A: ∫01e15x-14dxLet u=15x-14.=∫-141eu115du=115·∫-141eudu=115eu-141=115e-1e14=e15-115e14

Q: Trig Substitution: For the following integral, which trig substitution is needed? O Tangent Sine…

A:

Q: - 1. 1 [(ow + √w) dw

A:

Q: performance-enhancing Suppose that a test for drugs is 85% accurate (It will correctly detect 85% of…

A: Given that a test for performance-enhancing drugs is 85% accurate. Suppose that 5% of the 1600…

Q: lim h→0 (e) cos( 4 + h) - 1 h

A: To find the limit of following function

Q: Describe the given region in polar coordinates. The lower portion of the region is (Type an exact…

A:

Q: Approximate the area under the curve graphed below from x = 2 to x 6 using a Left Endpoint…

A:

Q: lim 0-4 In[(1 + h)² + 1] - ln(2) y

A: To evaluate the given limit .

Q: As per the trigonometric substitution x = sin(0), the following triangle is obtained. cos(0) Submit…

A:

Q: A box with a square lid uses a material for the lid and bottom that costs $ 4.00 per square meter,…

A: We can solve the given problem by using the second derivative test.

Q: How much must be deposited today into the following account in order to have $65,000 in 5 years for…

A: Given :Future value =F=$65000Present value =P=?Rate = r=6%=0.06Time=t=5 years

Q: Find the curl of the vector field F curl F = (2y cos(x), 5x sin(y))

A: F = (2ycosx , 5xsiny) find curl F =?   curl F  = dF2/dx - dF1/dy here  F1 = 2ycosx  F2 = 5xsiny now…

Q: Use the appropriate compound interest formula to compute the balance in the account after the stated…

A: The balance in the account after 9 years ?

Q: Evaluate the following integral: /= 2.6 The integral is divergent. 1 = 1.2 / = 1.4 = 0 S -00 1 8x -…

A:

Q: Solve the given IVP using Laplace Transforms. Solve for x(s) and STOP! (Express x(s) as a single…

A: Given IVP is x'' + 9x = cos3t,  x0=0,  x'0=2

Q: 39. An open top rectangular box with a square bottom has a volume of 120 cubic meters. Its bottom…

A:

Q: Evaluate the integral. 12 Select the correct answer. The choices are rounded to 3 decimal places. 6…

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. 8. f(x) = 2³3r² -…

A: In this question we have to find the absolute maximum and absolute minimum.

Q: 3 5. S (t + ²1) ²³ dt t

A: To evaluate the integral.

Q: of the surfaces z = Which of the following provides the curve of intersection x² + y² and x² + y² +…

A: Solution is given below:

Q: Find the derivative of the function g(x)=√t-sin (t) dt . Iv

A:

Q: A - [4 = 2 5 5 c=[-³3 C - 1 3 2 3] 0 - 2 1 B = D= 1 5 6 1 0 - 8 2 - 4 5 0 - - 3 1 2

A:

Q: d) Find the slope of the parametric equations x=2+3sin and y=0-cose at 0=

A: Given: x=2+3cosθ and y=θ-cosθ   As we know that; The slope of the tangent line to the given curve is…

Q: No calculators. Find the exact length of the curve. y=2+2x³/2, 0≤x≤1

A:

Q: 2 Matrix A = · (2 ²]‚B = [† __²₂], find AB . Solve differential equation d = -(2ln5y+x¹) dx 2xy-1

A:

Q: b) [. Provide two points on the sphere that you have in part a. c) [. The intersection of the sphere…

A:

Q: Evaluate the integral. Select the correct answer. O In | csc 4x + cot 4 x | + C sin x + cos x + C S…

A:

Q: $3,200 is borrowed at 6.5% interest, find the amounts due at the end of 3 years if the interest is…

A:

Q: c) [. The intersection of the sphere B and the xz-plane is (x - 2)² + (z + 1)² 2)² + (z + 1)² = 9.…

A:

Q: 3 1. f ³√x² dx

A: Solution : Given that integral is

Q: Determine whether the series is convergent or divergent. 00 Σ M = 3 n-0.9999

A:

Q: Solve using variation of parameters: y" - 2y + y = e/(1+1²) + 3et Type the letter of your answer. Yc…

A: Follow the procedure given below.

Q: 4. 4 1 [x²ydxdy 20

A: I have stated the used formula in the solution

Q: Find a result by using exact for (sinxcosy)dx = -(cosxsiny)dy = 0 b. (x-6xy + y² + 10)dy = -(x² -…

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

Q: P 3. Evaluate the integral fx cos(3x²) dx as an infinite series. (You do not need to find the radius…

A:

Q: 1) Consider the DE: xy' +(5x-1)y = 0. A) Determine whether the DE is linear or nonlinear and find…

A:

Q: Graph of the function. Show all 7 steps. h(x)=(x+1)2-2

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

Q: The graph shown below is f(x) = 3x - 2. If g(x) = f(t) dt, what is g'(-1)? f 5 4 3 O 5 O 3 0 1 O -5…

A:

Q: Given that the graph of f passes through the point (1,9) and that the slope of its tangent line at…

A: Slope of the  tangent line to the  curve  y = f(x) is f '(x)

Q: J (2) Ten thousand dollars is invested at 645 intrest Compound Continously. → when will the…

A: We can find the required time as below.