Evaluate e dV where E is enclosed by the paraboloid z = 4 + x² + y², the %3D cylinder x? + y² = 3, and the xy plane.

Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: Evaluate the integral of * 4xV16 x2 using the new variable. а. 2/3 оБ. 256/3 c. 255/3 O d. 15/3

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Q: Find the standard form of the equation of the hyperbola with the given characteristicS Foci: (0, ±9)...

A: The hyperbola has,  Foci: 0,±9; asymptotes: y=±3x

Q: (a) Suppose the value of f(x) = e is known in x 0.98 and x = 1. Find the linear interpolation approx...

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Q: 17. The hourly temperature at Portland, Oregon, on a particular day is recorded below. LAM. 46 3. 8....

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Q: Approximate the integral using the indicated rule. 36 0 x2 dx; midpoint rule; n = 6

A: We have to find approximate value of integral.

Q: The function f(z) = 3 is represented as a power series 1- 4x 00 f(x) = Σ Cna". 0=t Find the specifie...

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Q: Evaluate (sin t + 1)-1 dt A) sin t - sec t + C B tant + sec t +C (©) tant - csc t + C D tan t - sect...

A: Topic:- integration

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Q: Use the given functions to find each of the following and their respective domains. Do not try to si...

A: given,

Q: Write a full solution  Let consider the following function: f (x) = 2(x + 1)^2  −8.  A) Find f(−2)...

A: Solution is written in step2.

Q: r each of the following shapes, set up a triple integral you would use to compute its mass, if its d...

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Q: Compute the derivative of the following function. You do not need to graph it. g(x) = sin x· cos x

A: The given function is:gx=sinxcosx

Q: 3. Using a Surface of Revolution. Imagine that the parabola given by * = 4py is revolved about the y...

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Q: 1. Where is the Receiver? You are designing a satellite receiving dish. At what point should you pla...

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Q: vis question has several parts that must be completed sequentially. If you skip a part of the questi...

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Q: Given functions m(x) = = VE and h(z) = z - 4, state the domains of the following functions using %3D...

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Q: Find the radius of curvature of the following curve at the given point. Then write the equation of t...

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Q: a²f Compute :f(x.y) = (x + y)(2x + y)² and ax 'ay дхду

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Q: a? + 6x + 9 1. For the function g (a) answer each of the following questions. %3D x² + 3x (a) Evalua...

A: We need to find values of function at x values.

Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower 20...

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Q: (axy-ay) dx +( 3x'y - 4x) dy = 0

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Q: 3x + 6 If f(x) find: 2x +2 f'(x) = f'(3) =

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Q: O Question 9 > Rewrite this number in appropriate scientific notation: 27, 050 answer =

A: Given, number is 27050

Q: Please answer #1 in steps. And highlight main equations.

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x^2+8 and g...

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Q: the standar form of the equation of the hyperbola with the given characteristic Foci: (0, 19); asymp...

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Q: Find the augmented matrix of the following system of linear equations: X2 + x4 = 2 3x1 – x2 = -1 %3D

A: NOTE: Refresh your page if you can't see any equations. . given equations are . rewrite the system...

Q: -7 Let f(x) 7xVI + f'(x)

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Q: 2 cos 0 2. Write r = as an equation in rectangular cos 0-sin 0

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Q: 1 dx Va? – 6x + 34 Find -

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Q: Which Riemann sum represents the illustration shown? AY 4 3.

A: The given figure is:

Q: 6x Σ. Suppose that (7 + æ) n=0 Find the first few coefficients. Co = C1 = C2 C3 C4 Find the radius o...

A: Given that 6x7+x=∑n=0∞cnxnfind the first few coefficientsand Radius of convergence R

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 17) y =x*in x -x3 A) 4x3 - x2 C...

A: Given, Find derivative of y=x4lnx-13x3 with respect to x

Q: xdy − ydx = x^2dy, Solve for D

A: We can solve the DE as below

Q: If P(a, b) is on the unit circle whose arc léngth from the point (1, 0) is t, which of the following...

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Q: Let f(z) = { - 4 + 9 if z 2 Find lim f(x), if it exists. 01 O DNE 00 02

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Q: For the following exercises, use the vertex (h, k) and a point on the graph (x, y) to find the gener...

A: 46. h,k=-2,-1, x,y=-4,348. h,k=2,3, x,y=5,12

Q: Consider the given vector equation. r(t) = 3 sin(t)i + 4 cos(t)j (a) Find r'(t). r'(c) = (b) Sketch ...

A: Solution of question is written in step2.

Q: Which of these statements is/are TRUE? 1. If sec A is undefined, then cos A = 0. II. If tan B = cot ...

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Q: Obtain the solution to the differential equation: (3x²y² + 2y³)dx + (2x³y + 6xy²)dy = 0 x³y² + 2xy³ ...

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Q: 1) The slope of the tangent line to the curve y=2/x at the point (4,1/2) is:   2) The equation of ...

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Q: Find an equation of the tangent plane to the surface at the given point. 6x² + 2y² + 4z² = 30, P= (2...

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

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

A: topic - equation of ellipse

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

A: We have to find P value and point.

Q: -21 Evaluate the integral: rV + 81 (A) Which trig substitution is correct for this integral? Or = 9 ...

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Q: 775 7x - 8x + 5x' If f(r) find f'(z)

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Q: puc Find the interval where f'Ex) is concave up Xてーカ = (X) t

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Q: r(e) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the positio...

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Q: (5x+sin3(4x) + sin(4x³)) dx

A: use differentiation for finding the solution.