= [] Given: h (t) Find h'(t). t² +2

Q: x = -Jy from y = 1 to y = 4

A: The objective of the question is determine the area bounded by the given function.

Q: Listen Use the Ratio Test to determine if the series converges or diverges. ne-Sn n=1 Converges…

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Q: u = 7i + 5j + k v = i+j+ 8k w = i+ 2j + 5k nd the volume. i

A: Given query is to find the volume.

Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: This is a problem related to vector calculation. Based on the general formula we will find the…

Q: FIND HE WORK DONE IN LIFTING Za lo00 lb OF COAL FROM À MINE (500ft. DEEP BY NEANS OF A CABLE WIIGH…

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Q: y² = x y = x³

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Q: x(8x*-30x +5x-80) 14. S(x* – 3x³ + [? -2)dx | 40

A: Given : Let the missing value be A∫x4-3x3+A-2dx=x8x4-30x30+5x-8040+C   To Find : The value of A

Q: r1–z p1 y2 Try to change the order of integration and rewrite the above integral as equivalent…

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Q: Evaluate the integral. [TI/3 2 sin(0) + 2 sin(0) tan2(0) sec2(0) de Step 1 2 sin(0) + 2 sin(0)…

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Q: 2. Evaluate the following limits. x+ 1, if x 1 c. lim f(x) a. lim f(x) b. lim f(x) x→1+ x→1- X→1

A: Explained below

Q: af Find a d () + In (). of the function f(x,y) = arccot and ду

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Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v = i+j+ 7k w = i + 8j + 2k %| Find…

A: The volume of the parallelepiped is 253

Q: Whiteboard 21208780-7052-8916KS Rm 3 ebaut x- Gais ーズ+ メx

A: Given problem:- y=-x2 +2x, y=0  Volume using disk method about x axis

Q: Evaluate the integral using Integration by Parts. 8x sin(x) dx (Use symbolic notation and fractions…

A: Please see the answer below.

Q: dx =+c 6. 2.

A: We can solve the given problem as follows:

Q: Find the distance between the parallel planes 2x +y + z = 0 and - 6x – 3y-3z – 13 = 0. | NOTE: Enter…

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Q: Зх-1 2. f (x) 3D 2х+4

A: Given : y=3x-12x+4   To find : Derivative of the given function

Q: Find the limit of the sequence whose terms are given by 4.9 1 Cos In =

A: Let's find.

Q: The point (x, y, z) = (-1, –1, –1) under rectangular coordinates in R³ can be described through…

A: Let's find.

Q: Using the table below. Write all the possible idea that you may seen in the graph. (one sided limit,…

A: Given

Q: Find the demand function q = D(x), given the following elasticity conditions. E(x) = q = 205 when x=…

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Q: Compute the following limit. 1-e3 3x as x approaches 0

A: To find,  limx→01-e3x3x

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (3, –4)…

A: A detailed solution is given below

Q: Given y = V/x – 2/x – 2; Find y! %3D | - O (E) None of the choices -2-1 5 2(x-2) 7 1-Va-2…

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Q: 1. Find the absolute extrema on the given intervälš. a. f(x) = x3 - 6x2 +9x-8; [0,5] b. f(x) = x8/3…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find an equation of the plane that passes through the points (3, 3, 5), 2, 2, —1), аnd ( —5, 3, 4).…

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Q: x³ + x? – 4 1. Consider the function f(x) 4.x = x +1+ x2 Note that 4 x² – 4 - x²(x² – 12) (x² – 4)²…

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Q: 1. (3y²+ 2x²)dy + 2xydx=0

A: Ode

Q: (a – x)°dx S(4x + 1)°dx

A: use the substitution method for solving the integral.

Q: Barbara boards a Ferris wheel with a 50-foot radius. The center of the Ferris wheel is 60 feet above…

A: Given information:…

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: (a)limx→-3-h(x) =4(b)limx→-3+h(x)=4(c)limx→-3 h(x) =4(d)h(-3) = DNE(e)limx→0-…

Q: A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms…

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Q: average cost per gigabyte of RAM can be approximated by the function C(t)= 8,500,000(0.65)^ t, where…

A: Given query is to find the the average cost of ram for the given time.

Q: 1. Given: - 4r? with f'(x) = (x+2)2 (r+8)(r - 2) (x+2)3 8(7r-4) (r+2)4 f(r) = and f"(x) = %3D %3D…

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Q: Find an equation of the plane through (-8, 6, - 6) that is perpendicular to the planes 9x - y + z =…

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Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

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Q: If P, is (1, 2, –3) and P2 is (-4, 0, 5), find (a) The distance PP2 (b) The vector equation of the…

A: Given,             P1=(1,2,-3)             P2=(-4,0,5)

Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (10, 0) Vg(10, 0) =

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Q: Find a1 and r for a geometric sequence {a, from the given information. 41 az = 123 and a,= 9 a1 r=

A: The given terms of the geometric sequence,a3=123 and a6=-419

Q: 12. Solve the following initial value problem: dy =3 dz VE-1 sin(y)' v(1) = 0. Make sure you write…

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Q: Find the directional derivative of f at the point P in the direction of a. i-j f (x, y) = 2x3 – 6y³;…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+6j. NOTE: Enter the exact answers…

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Q: 2x 2x Find the absolute maximum and absolute minimum of the function f(x) = - 1 over the interval…

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Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 3x³y*; P(5, 1); a = 7 i –…

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Q: Consider the points A(1, –1,4), B(2, –3, 2), C'(-1,–2,2), and D(4,3, -6). (a) Find the volume of the…

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Q: 3. Given below is a table of values of a function Write the limit of a function by concluding using…

A: Function table values are given, we have to find the limit using table values.

Q: 4. Find the inverse, domain and range of the function f (x) = x +3

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: To use Lagrange multipliers to find the indicated exrema, assuming that x and y are…

Q: An open box of maximum volume is to be made from a square piece of material, s = 12 centimeters on a…

A: We know that volume of a cuboid is  Volume (v)= length × width × height.     Here i attached the…