What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

Q: k(k +7)

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Q: Find f (x) so that when u = f(x) the integral J tan(f(x) 1+ In x dx can be rewritten as cot u du. %3...

A: ∫1+ln(x)tan(f(x))dxlet u=f(x)=xln(x)⇒u=xln(x)differentiate on both sidesdu=(1+ln(x))dx

Q: 2:(y –x² }tx+ dy =0 1.

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Q: II Simplify the following: 1. (ĀNBNČ) U (Ā nBN C)U (ĀNBNČ)U (ĀNB N C) U (A OBNČ)U (ANBN C) a. ĀU B b...

A: Distributive Property: (i) A∩BUC=A∩B∪A∩C(ii) A∪B∩C=A∪B∩A∪C Identity Law: (i) A∪A¯=U(ii)A∩U=A(iii)A¯∩...

Q: What is the slope of the NORMAL LINE to the given curve y = x + at point where x = 3 *If the answer ...

A: The given function is; y=x +1/x at x=3.

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: Find the particular antiderivative that satisfies the following conditions: 10 10 H' (x) Н(1) %— 0. ...

A: H'(x) = 10/x2 -  10/x7 find H(x) = ? so we have to integrate it H'(x) = 10x-2 - 10x-7 H(x) = -10/x +...

Q: (x – h)? + y? = r² O y " +(y')² + 1 = 0 O y" +(y')² = 0

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Q: Q4) Find dy /dx for the following functions: a) e*y = x – y b) y = (cos x)Vx

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Q: 1 (a) 23k + 2 00

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Q: Factor out the GCF in the following expressions. 1. 2x - 8 6. Зx? - 9х 7. 5x + 3x 8. 12x - 8

A: according to our guidelines we can answer only three subparts and rest can be reposted

Q: 3T en: S 5x² cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f (").

A: Given query is to find the indicated function.

Q: 3. When the linear differential equation is multiplied by become an an integrating factor the equati...

A: We have to fill on the blanks. 

Q: Find the solution of the following Differential Equations 2) (xdy- ydx)/x 0 4) 2x In(y)dx+ y'r dy 0 ...

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Q: If §dx = A(B In|2 + x| + D In|2 – x) + C, then the value of 2A(B – D) is

A: This question can be solved by using the concept of some special integrals.

Q: Solve using the U-Technique Question 15 Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integ...

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Q: If u = f(x), then f- dx ++2x+1 +C for some constant k. Compute kf(1).

A: In this question we have to compute kf(1).

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: Find the derivative of f(x) = sec(tan(x) + cot(x))

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Q: A)Find the area of the region y=tanx , y=2sinx, B) Find the volume of the frustam of a pyramid with ...

A: For C reupload it according to bartleby guidelines

Q: Write the first five terms of the sequence: +oo (11 ln n n n=1 Determine whether the sequence conver...

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Q: Eliminate the parameter to find a Cartesian equation of the curve, for – x(t) = 100 tan² t y(t) = – ...

A: We are a parametric equation of curve as follow: x(t) =100 tan2t  y(t) = - 12sect Where -π/2 < t ...

Q: Solve the following differential equation xy = y(Iny- Inx) Select one: O a. In(2)- L: E CX O b. In(2...

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Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is f f(u)du. Find f ().

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Q: 4. Given: a, = 5, a4 = 13 Find: d =? а. 1 b. 2 с. 3 d. 4

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Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

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Q: Find the derivative of the following functions using the limit definition.  1. z =7y2- 11/y 2. f(z...

A: From limit definition of derivative we know, f'(z)=limh→0f(z+h)-f(z)hand f''(z)=limh→0f'(z+h)-f'(z)h

Q: Given A=-3ay +2ax +4az, B=3az -2ay + 5ax and C=-3ax +4az +5ay. Find a. A+2B-C and b. I 2A-3B+C I.

A: Given A=2ax-3ay+4azB=5ax-2ay+3azC=-3ax+5ay+4azA+2B-C=2ax-3ay+4az+10ax-4ay+6az--3ax+5ay+4az          ...

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: 7. Read about the Integral Test in Section 11.3 and, specifically, through example 2 to see how the ...

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Q: EXERCISES 1. What value(s) of c, if any, will satisfy the IVT for the given function f and the given...

A: topic - intermediate value theorem

Q: 1. 4(х- 3) 2. 2x( 2x + 2) 3. Зx(x-4) 4. 4x(x +7) whn

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Q: Write the first five terms of the sequence: {Vn² + 7n – n} +00 Determine whether the sequence conver...

A: Given: ∑n=0∞n2+7n-n

Q: Solve using the U-Technique Question 10 For ſk*e3*dx = 1 (ke)3x 3 (1–In 2-1) If u = 3x, then k =? .....

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Q: Evaluate the integral. In(10 x 9) dx +C

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Q: 53. A statue 3 m high is standing on a base of 4 mhigh. IFan observer's eye is 1.5 mabove the ground...

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Q: Use the difference a,n+1 – a, to show that the given sequence {a,}is strictly increasing or strictly...

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Q: Suppose that f(z) is an entire function and there exists aceR s.t. Re(f(2)) < c for all z. Show that...

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Q: 1. The standard form of the general first order linear differential equation in y is 2. The linear d...

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Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or...

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Q: IV. Find the particular solution of each of the following. 1. (2х — Зу + 2)dx - (3x + 4у-5); у(-3) %...

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Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: y = cos* (;x) dx

A: y=∫cos412x dx

Q: Consider the expression ſ V4 – x² dx = F(x)+C. The expression %3D F(2) – F(-2) is equal to

A: Here we have to evaluate F(2)-F(-2)=? We have, ∫4-x2dx=F(x)+C

Q: 3. Is the function given by Sx-4x-3, メ<5 X-5 メ+1,xM5 continccus at x=52 why cr whynot?

A: topic - limit and continuity

Q: Find the derivative of y with respect to v. y = In (cosh (2v)) – tanh? (2v) The derivative of y with...

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Q: 2. Given: a1 16, а4 1024 Find: az =? а. 12 b. 18 с. 36 d. 64

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting in...

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Q: equations

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Q: a. When the observer initially spots the ship, the angle of depression for the observer's vision is ...

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