How many terms are required to ensure that the sum is accurate within 0.003?

Q: Find a b. . a = 8i + j, b = i-4j+ k

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Q: Evaluate f 1 (4- x)²/5 de correct to 3 decimal places.

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Q: Sketch of f(x)=-4 H H H H H H H H

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Q: The function f(x, y) = x² + 2y¹ + 8y² − 4xy² has stationary points at some of the following points.…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: 1 3 4 3 2 1 1 2 3 + To find the blue shaded area above, we would calculate:

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Q: Consider the following vector equation. r(t) = 3 sin(t)i - 2 cos(t)j (a) Find r'(t). r'(t) =

A: given r(t)=3sin(t)i-2cos(t)j

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = x² + xy +…

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Q: Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of…

A: Data from the question÷

Q: Find the reference angle 0' for the given angle 0. 0 = 312°

A: The angle is given by θ = 312° For this angle terminal side is in fourth quadrant. To determine: The…

Q: 31. The revenue from producing x units of a product is R = 12x 0.001x² (a) Find the additional…

A: The revenue from producing x units of a product is R=12x-0.001x2

Q: 7. Be sure to show and explain all steps. (f(x))(g(x)) Determine lim x→c (g(x))-Sh(x) lim f(x) = 10…

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Q: For the curve y = 3x - 3 find the parametrization c(t) satisfying the conditions c(3) = (7, 18) (Use…

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Q: 2. Use first principles to find the derivative of each. f(x) = √√2x − 1 a) b) y = x₁

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Q: let S = {1-¹ | neN}. Show that sup S = 1. Hint: Use also the AP.

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Q: Find for the parametric curve c(t) = (t-¹ - 6t, 2t³) at the point t = 2. dx (Use symbolic notation…

A: Given :-  Parametric curve ct=t-1-6t ,2t3 Parametric curve c(t) is represented as c(t)=(x(t),y(t))…

Q: Use Separation of Variables to find the general solution of the following differential equation.…

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Q: (a) Given the graph of f(x) above, find the following limits. (b) lim x418 -6 -4 f(x) = lim f(x) xx…

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Q: The fox population in a certain region has a continuous growth rate of 6 percent per year. It is…

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Q: Solve the initial value problem. xy'+y = x² + 4, y(1) = 5

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Q: Evaluate fx sin² x dx.

A: Find integration of x(sinx)^2

Q: A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute used. Part 1.…

A: A cell phone charges a fixed monthly fee plus a constant rate  for each minute used. Part (1): In…

Q: Write the equation for the graph shown below. -4 -8 -2 6 -5- 4 3 2 1 4 -2 T 12 34 D

A: Equation of a line.

Q: Speedometer readings for a vehicle (in motion) at 12-second intervals are given in the table. 012 24…

A: According to question, Interval of readings = 12 s, t(sec) 0 12 24 36 48 60 72 v (fts) 0 5 19…

Q: hat is the 7th term of the sequence an(-1)³"(n-10),

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Q: Carry out the following steps for the given curve. dy a. Use implicit differentiation to find dx b.…

A: we need to find the implicit derivative dydx of cruve  x2+y2=17

Q: Suppose that f(x)=cos(3x+π/4). Evaluate the integral ∫f(x)dx giving the answer in exact form.…

A: solution given below

Q: A projectile fired from a gun follows the trajectory x(t) = 5t, y(t) = 9t - 16t². Find the angle…

A: x(t)=5t and y(t)=9t-16t2 Find the angle theta with which the projectile leaves the gun.  Find the…

Q: Find an equation of the plane. the plane through the point (7, -2, -6) and parallel to the plane z =…

A: find an equation of the plane through the point ( 7 , -2 , 6) and parallel to the plane z= 3x-4y the…

Q: = 1 Use the Fundamental Theorem of Calculus to find the "area under curve" of y = -x² + 7x between x…

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Q: The force on a particle is described by 8x³ - 2 at a point x along the x-axis. Find the work done in…

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Q: A quadratic polynomial y = 4x² + 7x - 3 has roots p and q. A new quadratic with roots r = and s = is…

A: Quadratic equation can be formed by roots α and β as follows  x2 - ( α+ β )x + ( αβ ) = 0  Given…

Q: Suppose the volume of water, Vm³, in a container satisfies the equation V = x³ e-x², where xm is the…

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Q: The marginal cost for printing a paperback book at a small publishing company is mc(p) = $0.011 per…

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Q: A tank contains, initially, 1000 liter salt solution with salt concentration 10%.

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

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Q: Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The…

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Q: Given the function graphed below, evaluate the definite integrals. N A 3 2 1 -1 -2 -3 Sőt [₁² f(x)dx…

A: Here we have graph of f(x) ,need to find the integral. Since integral is given by area under the…

Q: Evaluate the definite integral. re64 dx e x√In(x)

A: Given: ∫ee64dxxln(x) Let I = ∫ee64dxxln(x) We will solve this integral using integration by…

Q: Evaluate the double integral (2² + 4y) dA, where D is bounded by y = x, y = x³, and x ≥ 0. Answer:

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Q: Find an equation of the plane. the plane through the points (4, 1, 4), (5, -8, 6), and (-4, -5, 1)…

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Q: Calculate the derivative dy for the parametric equation x = t¹ + t³ + ln(6t+1), y=e¹t² + +5 giving…

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Q: Determine the value of the constant k, such that 28 4 Sko 2²-1 dx 1.90038. Give your answer correct…

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Q: Set up an integral to calculate the area A of the shaded region. Do not simplify or evaluate the…

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Q: •n [02/12 XP 3. an = P> 1

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Q: 3 dy - (+)) = 2₂²

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Q: (2) (a) Find the area of surface of the cone z = √y² + x² bounded by the plane 28. Make an sketch of…

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Q: find the parametric equations for a sphere with a radius of 4 and a center at (3,-2,5)

A: According to guidelines we have to solve only first one question.

Q: Determine the convergence or divergence of the series

A: We have to find if the given series converges or diverges.   For this we will use the integral test…

Q: a) What conditions on the functions g(t) and h(t) must be satisfied for the differential equation…

A: ( a ) Given differential equation g( t )dxdt + h( t )x = 0

Q: Find the largest value of that satisfies: loga (2) -log(x + 1) = 3 x -

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