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A: topic - application of derivatives
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A: To find the differential equation for y2 = 4ax differentiate this equation with respec...
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Q: æ(t) 6 y(t) = et + 11 (a) Cartesian Equation, be sure to express your answer as an equation: (b) Ran...
A: Given query is to find the value equation I'm Cartesian form.
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A: We will find the Taylor polynomial.
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Q: Determine whether the series converges. k 'In(k + 9) The series converges. O The series diverges.
A: Given query is to find series converges or diverges.
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Q: Given the line segment from the point (13, 7) when t = 0 to the point ( – 1, – 9) at t = 1, find the...
A: When t=0 then point (13,7) and t=1 then point (-1,-9)
Q: Use the formula for the binomial series: (1+x)" m(m-1) 2 + 2! m(m-1).-(m-k+1). k! 1+ тx + + = ... .....
A: Given: Maclaurin series for 1+x18 Formula for binomial series: 1+xm=1+mx+mm-12!x2+...+mm-1...
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A: Given query is to find the interval where function is increasing and decreasing.
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Q: 2. (x + 2) dæ: (x + 3) sin y cos y dy In(a + 3) sin y %3D + C ans. x -
A: (x+2) dx = (x+3) sin y cos y dyUsing the method of variable separable;x+2x+3 dx = sin y cos y dy ∫...
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A: We can solve the given problem by using the Pythagorean theorem and the derivatives.
Q: Q3) Find the limit for the following function by using L'Hopital's Rule: x2. e* lim x→0 tan2 x
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Q: 12. Evaluate ((1– cos x) dx a.) 1- sin x +C b.)x - cos x +C c.) 1- cos x+C d.) x- sin x+C 13. Evalua...
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Q: k If u = f(x), then f dx x4+2x²+1 +C for some constant k . Compute kf(1). x2+1
A: topic - functions and indefinite integral
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Q: Find the derivative of the following function using the limit definition: z =7y2- 11/x
A: We need to find derivative.
Q: cot 2x dx J Vcot2x – 15 cot²2x
A: Here we have to evaluate I=∫cot2xcot22x-15dx
Q: Solve using the U-Technique Question 1 Consider the integral 2nx g(x) dx . There is a function g(x) ...
A: Given
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A: topic- sequence and series
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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...
A: To find the Taylor polynomials of orders n=0, 1, 2, 3, and 4 about x=x0 and then to find the nth Tay...
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A: Question: Setup a definite integral with respect to x dx to find the area of the region enclosed by ...
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Q: Determine whether the alternating series converges. 51n k | k k=3 O The series converges. O The seri...
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Q: Solve the boundary-value problem, if possible. (Assume the independent variable is x. If there is no...
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Q: Evaluate the integral. In(9 x - 8) dx =| +C %3D
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Q: Question 2 If S(16x4 – 16x³ + 4x²)dx = F(x) + C, then F(x) 16 A 5 4 x3+4x4 3 B (4x² – 2x) 3 16 4 x3 ...
A: The given integral is 16x4-16x3+4x2.
Q: A Complete the table. du formula answer 24x +2 (2x -1) (Ax + 2)3 d 2. 7Vx - Sx de Se 3nin2 de sin S ...
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Q: if we let u-4x- 1 for the 2 tan(4x-1)-3 cos (4r-1) dx, what will be the resulting integrand? cos 4x-...
A: The given integral is (2tan(4x-1)-3cos2(4x-1))/cos(4x-1).
Q: Consider the following sequence: 7" {an} 3n2 n=1 An+1 to show that the given sequence {an} is strict...
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Q: p-
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Q: = t?y – y + t? – 1, y (0) = 1 dt dy Solve the differential equation
A: Given: dydt=t2y-y+t2-1 We know that; ∫1ax+bdx=1alnax+b+C And The Power rule: ∫xndx=xn+1n+1+C ; n≠-...
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Q: du formula answer 24 +2 (2x-1)"(Ax + 2)""
A: Given: I=∫24x+22x-133x+23dx ...1 We know that; The Product rule: f·g'=f'·g+f·g' The Power rule: ∫...
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