4 6. √√√√x³ = x²(3x² – 2x) dx -

Q: The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

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Q: f(x) = x^2 − 3x + 2 and the line g(x) = x − 1 over the interval [0,2] .

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Q: For the following system: a) Determine how, if at all, the planes intersect. [2T] b) If they do,…

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Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: Ja x?sin=1rd

A: According to question,Given INTEGRAL,Let I = ∫x2 sin-1 x dx

Q: 52. If A. 10 C. -2 -8 5 g(x)dx = -4 and g(x)dx=6, what is g(x)dx? 2 ¹s 1miz d -8 B. 2 D. -10 12035

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Q: [3tan(x)² dx 2

A: Concept: Integration: The Sum of discrete data is denoted by Integration. The integral is calculated…

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find the volume generated by rotating the region

Q: Evaluate the following antiderivatives. f (x sinh x + 1) dx

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Q: Applied Calculus Class: Please see the complet review example for reference. and solve the given…

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Q: Evaluate the antiderivatives. 2x dx 5 S

A: ∫2xdx/5 ∫axdx = ax/lna here a =2

Q: Solve the initial value problem O y = 7cost + sint O y = e-cost + 7e-¹ sint ○ y = e¹¹ +7e="t ○ y =…

A: to solve the initial value problem.

Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

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Q: frequent problem in surveying city lots and rural lands adjacent to curves of highways and railways…

A: We have to find the total area of the given picture which contains one right angle triangle and one…

Q: A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of base 3 in. and…

A: The curved surface area of the frustum is given by:                   Given: r = 3 in. R = 7 in. l…

Q: X. 2x4 x³x²+x-1 S = C -dx

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Q: Find the derivative of f(x) = (-x3 - 2x² - 2x) sin (x). Do not include "f'(x) =" in your answer.…

A: The given function is: fx=-x3-2x2-2xsinx   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: Ex: Find the work done by the vector field F = (y-x²)i + (z - y²)j + (x-z²2)k Over the curve r(t) =…

A: Given: F=y-x2i+z-y2j+x-z2krt=ti+t2j+t3k

Q: 6. S नात √(1-x dx

A: The second fundamental theorem of calculus states that if f is continousmapping in [a,b] and F be…

Q: 4 B 6) Find the value of cot t if cos t = a) √/3 O b) 01/12 c)0 V₂ d) 0 1 Previous Next - and T < t…

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

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Q: I co cot-1 xdr

A: The given integral is cot-1x.

Q: 1. An object starts from rest at point P(1, 2, 0) and moves with an acceleration of a(t) = 3 + 2k.…

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Q: 6. Find the (xy + 1) dx + x (x + 4y − 2) dy = 0 integrating factor and solve DE. In x + xy + 2y (y −…

A: A detailed solution is given below.

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: s 2 7x² + 15x + 22 (x-3)(x² + 4x+5) dx

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Q: X The variable h is the height of the ladder's top at time t, and x is the distance from the wall to…

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Q: Consider vectors A-40+30) and B-4.02 +8.03. ▾ Part C If the direction (but not the magnitude) of B…

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Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6

Q: 2. Determine the modulus and the principle argument of the following complex number: (2 + 4i) (2 +…

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Q: Cursive

A: Please refer to the image below

Q: Find the slope of the line if it is defined. Through (-11,-5) and (-1,4) Select the correct choice…

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Q: Find the indicated derivative and simplify. 2x-3 2 x + 9x y' for y=- y'=0

A: To find the derivative.

Q: (t) below, find f'(x). f(x) = (3x³ + 3x²-4).x²

A: Given a function f(x)=(3x3+3x2-4)x2 Formula used : d(xn)=nxn-1

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: To find velocity at time t  and distance travelled during given time interval.

Q: 2. Write the third column of the matrix as a linear combination of the first two columns, if…

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Q: 7. * (se + ex)dx

A: The given integral is xe+ex, limit from 0 to 1.

Q: 1.Given : Parabola with F: (4, -3) and Directrix : Required: a. Equation in standard form y = 5 b.…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Is sinxV9+ cos2 xdx

A: To evaluate the value of given indefinite integral.

Q: 2 When proving the limit lim(11x + 2) = 35, and e > 0 is given, what is an appropriate choice for 6?…

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Q: • We have 3 tan ³ = 3 O What's the value of Explain in detail 0?

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Q: A particle is moving with acceleration a(t)=12·t+3. At time t=0, its position is s(0)=7 and its…

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given function:fx=12x3-63x2-72x+6

Q: Find the area of the surface generated by revolving the curve about the y-axis. y=4-x², 0≤x≤2.

A: In this question we have to find the area of the surface generated by revolving the curve about the…

Q: 1. Find an equation for the set of points whose distance from the plane y = 2 is the same as the…

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Q: write this on paper. I need a step by step handwritten work not just the online calculator

A: Given the series,     ∑k=1∞3k3+3k2+5

Q: Consider the following function. g(x, y, z) = In(15 - x² - y² - z²) (a) Evaluate g(2, -1, 3). (b)…

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Q: X. S 2x4 x³x²+x-1 - dx

A: Since multiple questions are asked I am answering first question

Q: R is the region bounded by the functions f(x) = 3 − 2cos(x) and g(x) = sin(x). Find the area of the…

A: A detailed solution is given below.

Q: Assume that the radius r of a sphere is expanding at a rate of 30 cm/min. The volume of a sphere is…

A: This question is based on derivative.