(1 - cosx) dx Evaluate: cosx(1 + cosx)

Q: f'(x)= -+e²* +x°and f (1) = Find f(x) Given 5.

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Q: x = 2 + 5 cos t Consider the parametric equations for 0<t<r. y = 8 sin t (a) Eliminate the parameter…

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Q: B. For each of the following functions z, find and dx²' dyðx' axðy' dy2 1. z = 2x² – 5xy + y²

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Q: For numbers 12 14. A parabola defined by the equation x+3 = (y + 2) is translated 4 units down and 3…

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Q: Find the volume OF the solid obtained by rotating about the y- axis the region bounded by Y= x2 and…

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Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k = 11 6.…

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Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y=8-x, x=0, x=6,…

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Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: To find out the relative error in the lateral surface area of the cylinder.

Q: 1. Evaluate the given line integral, (-y,x – y) · dR, where C is the upper part of x² + y? = 4 from…

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Q: 20. Find f2x/(5x-3)dx

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Q: 135 5. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: S. U. u.) 4

A: Let's find.

Q: Q.2) The basts of the equatioon y'' + y" = 0,are: b) 1,1.e a) 1,1.e c) 1, x,e²* d) 1,x.e" 0 about

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Q: Write the composed trigonometric function sin (arctan x)sin (arctan x) in terms of x. Explain your…

A: In this question we have to find the function in terms of x.

Q: 5. ungles can be formed using the given measurements. The other measurements of the triangle in…

A: Two triangles can be formed by using the given measurements. The other measurements of the triangle…

Q: Suppose that a cylindrical can is designed to have a radius of 1 in. and a height of 5 in b the…

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Q: (-3)"r" ice of the power series Vn +1 n=1

A: Series

Q: 27. Find the magnitude of the resulting force. Round to the nearest Newton. B: 11.1 N, 111° A: 10.0…

A: Solution: Given

Q: 7. Each of the following statements is true. What can you conclude about the vectors i and i f: a)…

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Q: The limit lim cos is an indeterminate form of type 0· o. 00. Select one: O True False

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Q: To find two real numbers whose difference i and whose product is minimum, we can find minimum value…

A: Topic:- calculus

Q: Express à to the vector (1, 4, 2). (3, 1, – 1) as B + C, where B is parallel to the vector (1,4, 2)…

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Q: hi, in no.1, instead of y=x2 + 2, you entered y=x2-2, so is the graph right? the point is supposed…

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Q: e cost of sending a large envelope via first-class mail is $0 73 for the first ace and $0.18 for…

A: Given query is to find the Indicated limit form the graph.

Q: To find the distance across a river, a surveyor choose points A and B, which are 224 m apart on one…

A: In this question we have to find AC and distence across the river.

Q: A seagull, flying above a lake, dives for a fish according to the function h(t)=0.25t -4t +15t ,…

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Q: 3 Σ n(n + 1) n= 1 The first partial sum is S, = (Type an integer or decimal rounded to four decimal…

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Q: a?z B. For each of the following functions z, find a2z and ду? a²z дх? дудх' дхду" 1. z = 2x2 – 5xy…

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Q: 11. A spherical balloon is inflated so that its radius (r) increases at a rate of (2/r) cm/sec. How…

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Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the line l1…

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Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

A: It is a true and false type question. Answer  is false

Q: 4. The derivative of a constant is 5. The derivative of a of two functions is the denominator times…

A: This question is based on Basics of differentiation.

Q: 6. Evaluate the integral /: a sec (x²) tan(x²)d.x. sec*(x²) tan(x²)d.x. sec (x²) tan(x²) (a) + C 6.…

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Q: For each natural number n, the expression 2* – 7n - 1 is divisible by

A: Concept: Mathematical induction: Mathematical induction is a mechanism for proving a statement,…

Q: Point A is launched horizontally away from a wall and a(t) represents Point A's distance from the…

A: Concept: Graph theory: Graph theory is analyzed in terms of points and lines. . It is a branch of…

Q: Needs complete and organized solution. Find the area of the plane region bounded by the given…

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Q: For the power series E (х-3)" find the interval of convergence. n=2 n5"

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Q: Evaluate the following integrals using Trigonometric Substitution: x-1- 16x dx x 2. dx 9 dx 25t2 - 1…

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Q: a²z B. For each of the following functions z, find a² z and ду? a² z дх? дудх" дхду" 1. z = 2x2 –…

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Q: 4. 25t 1 dt

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Q: If a > 0 and [[ 20*+v 20+u° dr dy = 1(e* – 1) , a =?

A: Using polar coordinate evaluate the above integral

Q: Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and passing…

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Q: 7. How should the function f(x) = be defined so that it will be continuous at x = -1? (B) f(-1) = 0…

A: We have to find the value of f(-1). Also we have to find the interval in which function is…

Q: Convert to degrees and write it as the least possible positive coterminal angle. a. -220° b. 120° C.…

A: We have to find the angle

Q: 2. Suppose z is a function of a and y and tan(V+ y) = e*. Determine dz dz and 2

A: Suppose z is a function of x and y  tan (√(x + y)) = ez^2  We have determine ∂z/∂x and ∂z/∂y

Q: 27. f(1) = 1 + e*i 28. f(1) = r² - e- + 5 29. f(1) = (1 + e²)2 30. f(1) = (e' – e¯)? 31. f(1) = 41²…

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Q: 10 Find the derivative f' (0) of f(x) = at х+4 O using the laws of differentiation.

A: f(x)=10x+4DIfferentiate w.r.t.xf'(x)=ddx(10x+4)Take constant outf'(x)=10ddx(1x+4)f'(x)=10ddx(x+4)-1…

Q: olve the triangle. 95 a-6 b- 4 Select the correct choice below and, if necessary, fill in the answer…

A: Here is the solution

Q: the

A: We have to choose the correct option from the given options according to the given information

Q: (sec2 x + csc2 x)cos2 x dx

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