Parameterize the plane through the point (-1, 1, -3) with the normal vector (4, 1,-2) *(s, t) = (Use s and t for the parameters in your parameterization, and enter your vector as a single vector, with angle brackets: e.g., as <1+s+t, s-t, 3-t>.)

Q: Determine the distance D between the vertices of -9x² + 18x + 4y² + 24y − 9 = 0.

A:

Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

A:

Q: - If cos(y) = 3 and y is in the first quadrant, find cot²/ 2

A: Given :- cosy=35, y is in first quadrant

Q: 4. For the function f(x) = 2x² - 3x² sin x + sin x cos x, evaluate ¹₁ f(x) dx

A:

Q: Use Maclaurin se In(1+x²) + x sinx lim-

A: we have to evaluate the limit using maclaurin series  limx→0ln(1+x3)x.sin x2   since we know that…

Q: he altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A:

Q: Use integration by parts to evaluate the definite integral: 97.18 In (8r+4) dr = 8.92 HINT: You…

A:

Q: Use integration by parts to evaluate the definite integral: 97.18 In (8r+4) dr = 8.92

A:

Q: Consider the function f(x) = 8x¹0 + 10x52x¹ - 9. Enter the antiderivative of f(x) Question Help:…

A:

Q: f(x)= |2x - 3| + 8 sin (7x)

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: () 2y + 184 = 6 tan 3x

A:

Q: Find the elasticity. 22) q = D(x) = 200 - x 1 A) E(X)= 200-X C) E(x)= x(200 - x) B) E(x)= D) E(X)= X…

A: Given: q=Dx=200-xTo find the elasticity.

Q: A particle is moving with acceleration a(t) = 24t+ 8. its position at time t = 0 is s(0) velocity at…

A: A particle is moving with acceleration a(t) = 24t + 8, its position at time t = 0 is s(0) = 16, and…

Q: Question 3. Use linear approximation to approximate 1.1 to 6 decimal places

A:

Q: Exercise: Example: Graph the curve r=2(1+cos 0)

A:

Q: Write an equation in slope intercept form of the line with the given parametric equation:  X=3T-10…

A:

Q: 1) y = 4cos 30 2) y = 3sin 0 2

A:

Q: Onsider the indefinite integral ². √³ – 4 dr: his can be transformed into a basic integral by…

A: Given query is to perform integration.

Q: Evaluate the definite integral D = r/2 D = = ST cos(2 w) dw. NOTE: Use exact values only. Do not…

A:

Q: Answer the following True or False. The following properties hold: Π n m Σ(αι + b) - Σα+ Σ Caj = η…

A: We need to determine correct option.

Q: Use the shell method to determine the volume of the solid obtained when rotating 1 y - 4 about the…

A:

Q: Evaluate the definite integral D= D = = 1/3 cos(πw) dw. NOTE: Use exact values only. Do not provide…

A:

Q: For the tangent line to the curve at the origin for r = 2sin20

A: Solve the following

Q: Find the first four nonzero terms of the binomial series for (1+x²)71/³

A:

Q: Given the graph of the function f(x) below, use a right Riemann sum with 4 rectangles to approximate…

A: Graph of the function is given, we have to find the right Riemann sum using 4 rectangles to…

Q: Use integration by parts to evaluate the integral: 7x dx = f9x²³e¹²d

A: Given query is to find integral.

Q: For what values of p does the series below converge? Select the correct answer below: O p > 2 Op < 2…

A:

Q: Graph each function using radians. 4) y = 4cos 0 6) y = 2cos Т Л Ө 2 2л Зл 2л 2 Зл 4 5л Зл 2 5 бл 5)…

A: The given functions, 4) y=4 cosθ 5) y=sin 4θ 6) y=2cosθ2. We have to sketch graph of the each…

Q: 3 3. If cos(y) = and y is in the first quadrant, find cot²2/1

A:

Q: Solve the FIRST ORDER LINEAR D.E. Linear in r dr sin 0 = -1- 2rcos 8 de

A:

Q: Sketch a graph with a table for the following equation.

A: We need to sketch the polar curve.

Q: Question Determine the second derivative of the parametrically defined curve represented by the…

A:

Q: Find the rate of change of total​ revenue, cost, and profit with respect to time. Assume that​ R(x)…

A: Given query is to find rate of change of cost z revenue and profit.

Q: a. (2,2) 6 (131)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A:

Q: Evaluate: [æ sin(x) da =

A:

Q: an arch is in the shape of the upper half of an ellipse is ued to support a bridge that is to span a…

A:

Q: Let f′′(θ)=sin(θ)+cos(θ) and suppose that f(0)=6 and f′(0)=10.  What is the sum of the coefficients…

A:

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x5, y =…

A:

Q: b)y= 4 x-2 ,(6,1) c)f(x)=√√x+4,x=5

A:

Q: Write the infinite series using sigma notation. -10 + 10 5 10 + + 25 10 125 + 10 + 625 n

A:

Q: Find the slope of y = ex at x = 0.

A: Given query is to find the slope.

Q: Consider the indefinite integral fz6 · Væ² + 1 dr: 5 7 . This can be transformed into a basic…

A: To solve the following integration problem

Q: 2. Let f(x) = x − 2 cos x on the interval [0, 2π]. (a) Find all critical numbers of f(x) inside [0,…

A:

Q: 2. Show that csc(2t) = tan(t)+cot(t) 2

A:

Q: Let f′(x)=√x−2 and suppose that f(9)=4. What is the value of the constant term in f(x)

A:

Q: Below is the graph of a function f. -2 H

A:

Q: Evaluate: [(10+32³ +52¬² + z² A B Ⓒ D 10z+32³ +++ C 10z+32³+2+C 10z+2³+-+C 102 +2+32 +C

A: we knoe that  ∫xndx=xn+1n+1+c

Q: √√x x sin(x 3/2) dx =

A: Given, ∫ x sinx3/2dx

Q: 4. Complete the table of values (to five decimal places), and use the table to estimate the value of…

A: Ans= 0.25 For detail..go through the solution I have solved step by step in detail