Find the volume of the parallelepiped determined a=(2,5,-1), b = (0,3,47₁ C = (2,4,1) by the vectors

Q: Evaluate the following integral. x² - 4x + 4 2 S √x². - 4x + 8 dx

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Q: 3. A projectile is fired from ground level with an initial velocity of 35 m/s at an angle of 35°…

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Q: integral test ∞ (α) Στ n n=1 8 b) 6) Σ n=1 -|~1/2 η2

A: To determine whether it is Convergent or Divergent using the integral test.

Q: 1. Apply the Divergence Test to the following series: 7 – 4n (2) Σ 2n + 4 n=1 (b) Σ n=1 303 +5 n2 –…

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Q: Use the definition to find the Taylor series (centered at c) for the function. f(x) = ln(x ¹0), c =…

A: Given that the following function              by using the logarithm property, we can rewrite the…

Q: The cube root of 125 is 5. How much larger is the cube root of 126.2? Estimate using the Linear…

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Q: Find the average value of the function f(x) = 22 sin(x) over the interval [0, π]. NOTE: Enter an…

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Q: The function r(t) traces a circle. Determine the radius, center, and plane containing the circle…

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Q: Solve the absolute value fucntion f(x)=|x-2|+|x+1|-4

A: Therefore , the only valid solution for the function f(x)=∣x−2∣+∣x+1∣−4isx=25​  For x<−1, no…

Q: Solve the following:- 1. Find Maclaurin's series f(x) = e√2x. 2. If f(x, y) = 0, find is - d²y dx²

A: The objective of the first part of the question is to find the Maclaurin's series for the function…

Q: If f(x)= 5x sin x cos x, find f'(x) and f'(3)

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Q: #15 & 16: Solve each inequality using a number line sign chart. Write answers in interval notation.…

A: (−∞,−7)∪(−7,0)Explanation:(16) If you have any problem let me know here in comment box for this…

Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die…

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Q: To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters squared)…

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Q: 1.) 2 Ч — ч+х htx P -5 Hd Xx внаят

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Q: 2 3.) x34 tu -3 X 30

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Q: Determine if the sequences converge or diverge.  an = (ln n)/ln 2n   an = e^-n ln n   an = (3n…

A: • Sequence 1: Inconclusive • Sequence 2: Converges (e^-n dominates) • Sequence 3: Converges…

Q: 3. dy dt y 1+t +1²

A: We need to solve the differential equation.

Q: Graph the derivative of the function graphed on the right. Choose the correct graph below. OA. О в.…

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Q: Find the limit, if it exists, or type 'DNE' if it does not exist. J lim (x,y)→(0,-4) ev1x²+5y²

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Q: • A ship leaves a port traveling 50.0 km 45.0° northwest and then 70.0 km in a direction 30.0°…

A: Given the ship leaves a port traveling 50.0 km 45.0° northwest and then 70.0 km in a direction 30.0°…

Q: Determine the equation of the tangent to the curve y= (2x^2-3)(x+1)^2 at the point where x=1 Thank…

A: The equation of the tangent line to a function y= f(x) at (a,b) is given byy - b = f'(a)(x - a)

Q: State the trigonometric substitution you would use to find the indefinite integral. Do not…

A: Since you have asked multiple questions in a single request so we will be answering only first…

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A: we are given a function and we need to find out where it is concave up and concave down.

Q: The table below shows values of a force function f(x), where x is measured in meters and f(x) in…

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Q: Find the equation of the tangent line to the curve y = The equation of this tangent line can be…

A: The objective of this question is to find the equation of the tangent line to the curve y = 4 sin x…

Q: The demand function for a product is given by p(x)-80-0.018x, where x is the number of units of the…

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Q: Find the length of the curve. L = r(t) = 10i+t²j+t³k,0 ≤ t ≤ 3 <

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Q: Let E be the solid region in the first octant that lies inside sphere x 2 + y 2 + (z − 1) 2 = 1. The…

A: The objective of the question is to describe the solid region E in cylindrical and spherical…

Q: The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of each…

A: The given venn diagram

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 400e-x² - 3y² - 9z² where T is…

A: Given: To Find: (a) To find the rate of change of temperature at the point  in the direction towards…

Q: #1 & 2: A polynomial has roots 41, 2, and - Its standard form equation has integer coefficients. 1.…

A: 1)Factored form is f(x)=(x2+16)(x−2)(2x+3)  2) Standard form is: f(x)=2x4−x3+26x2−16x−96Explanation:

Q: Find the zero-state response yzs(t) of a system having impulse response h(t) = u(t) using the…

A: The objective of this question is to find the zero-state response of a system using the convolution…

Q: Find the cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

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Q: 3. Evaluate the integral. (a) f(ti+t²j+t³ k) dt (b) f((1+²) i-4t¹ j - (t²-1) k) dt π/4 (c) f/4…

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Q: Megh 5.) P varies directly with with r P = 14 3 what r $ 2=2 P € A F=3 2=5 2 & inversety and r=8

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Q: Determine the slope of the tangent line to f(x) = 3x-2 x²+4x at (-2, 2).

A: f(x)=3x−2x2+4x at (−2,2).Quotient Ruleddx[f(x)g(x)]=g(x)f′(x)−f(x)g′(x)[g(x)]2

Q: Give the derivative of v-/-/10

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Q: The probability of precipitation in a California city varies from a peak of 0.38 (38%) in January to…

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Q: Publishing The following table shows the results of a survey of 400 authors by a publishing company.…

A: The objective of the question is to calculate the relative frequency of two events. The first event…

Q: 1. Find the acute angle between the two curves at th 1- r=1+sine 2. r= 1 + cos 8. 2. Evaluate e dx.…

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Q: ax CLA Find points of intersection for the following curves. 13 1- r = 2 + 2 cos 0, 2- following. r…

A: The objective of this question is to find the points of intersection of the two polar curves r = 2 +…

Q: 15. A music concert is organized at a memorial auditorium. The first row of the auditorium has 16…

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Q: Find dy dx dy dx ||| at (-6, 1) if xy = X 18/ x + 3 a (Round your answer to four decimal places.)

A: To find dy/dx at (-6,1) of

Q: #5-6: Use f(x)=x¹ +4x³-11x²-24x+30 5. List all of the actual zeros. 6. Write f(x) in completely…

A: The answers have been provided.Explanation:

Q: z = y² sin(3x) + 5y Calculate the derivatives. You do not need to simplify your answers. Əz dx 1.…

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: For which of the following points does one of the theorems given in class guarantee that the…

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Q: Find the value of a that makes the following function differentiable for all values of x. g(x) = if…

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Q: Find the equation of the tangent plane to the surface z = e (2, 4, 1.849). Z= - 12/17 In (2y) at the…

A: To find the equation of the tangent plane to the surface  at the point .

Q: Given the following Case 2 rational function, x²-x x² +1 q(x)= Identify the matching response for…

A: q(x)=x2−xx2+1 is the given rational function and we have to find the equation of horizontal…