| h(r)dr 19 and | h(r)dr = 8.3 what does the following integral equal? h(r)dr =

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A: Let, First number = x & 2nd number = y therefore, x+y=25   & x-y= 7

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: B)号 4. nこt u puyと いつ0o Sinlen)+ w!l いo an

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A: Solution is done in step 2

Q: 3 Evaluate the integral c Ħ A) 1 B) 77 c) - Ť tan?xdx E)ユ-

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Q: 4 4 4 + + 9. 27 3 +

A: Given problem:- (4/3) +(4/9) +(4/27) + ........  Determine whether given  geometric series…

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A: Volume

Q: 28) In Problems 28 and 29, given the IMPORTANT FORMULA x(a+1)+ C (if a2 -1) and x1 dx = In x + C.…

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A: ∫tndt = t(n+1)/(n+1) +C ,C is a constant and for any real number n. d/dt (tn)= nt(n-1) , for any…

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A: Clearly,

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A: The given integral,        ∫e7x+2dx

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A: Solution: Let unit digit =x  and tenth digit=y  Now According to question: y=3x ---------(I) y-x=6…

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A: Given problem:- a1 = 2 ,d = -4 ,n=6  To find:-  Sum of n terms of given arithmetic sequence

Q: 11) In Problems 11 and 12, given f(x) and g(x ) are continuous everywhere with the values: 2 X =…

A: A detailed solution is given below.

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A: Use equation of  tangent line

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Q: Question 6 Find the area, A, of the region enclosed by the cardioid r = 8 + 8 cos 0. 48 n 96 n 52 n…

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Q: dx

A: A detailed solution is given below.

Q: Question 16 Find the equation of the tangent plane to the given surface at the indicated point. x2…

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A: To solve the following differential equation

Q: 19 Suppose that Ts (x) centered at 2 for f(x) is gien by. Is (X=3+5Cx-2)+8(x-2)²+2G-2)°+(x-2) (3)…

A: T5(x) centered at 2 for f(x) is given by,T5(x)=3+5(x-2)+8(x-2)2+2(x-2)3+(x-2)5

Q: 1 Evaluate dx. - 2x 10 + e 1 dx 2x + C 10 + e

A: To solve the following integral problem

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Q: Ise Part 1 of the Fundamental Theorem of Calculus to find the derivative of the fum 8(x) = [" 1 dt t…

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Q: 23. sin 20 cos 20 dên

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Q: Y – C(Y)-I(i)–G, =0 kY +L(i)– M20 =0 %3D

A: answer is in next step

Q: ind the volume of the shaded region when revolved about the indicated axis. 21 * = V7+y 14

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Q: Question 18 Find the length of the curve with the given vector equation. r(t) = (6 + 2t 3) i + (2t…

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Q: If f(x) cos-(2x+5) then dom(f) = %3D a+3 (A) (-3, –2) (B) [-3, –2] (C) (-3, –2] | (D) (-1,1) (E)…

A: Given query is to find the domain of the function.

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Q: INSTRUCTION/S: Evaluate each limit by two methods. TOPIC: INDETERMINATE FORMS FIRST METHOD (Partial…

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Q: Evaluate the indefinite integral. (Use C for the constant of i | sec?(e) tan°(e) de

A: Topic:- integration

Q: 6. lim (sinx)*

A: u =eln u, then:limx→0+  (sin x)x  =limx→0+  ex ln(sinx)=limx→0+  eln(sinx)1x=elimx→0+  ln sin(x)1x

Q: INSTRUCTION/S: Evaluate each limit by two methods. TOPIC: INDETERMINATE FORMS FIRST METHOD (Partial…

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Q: 7. Gven that ärb =-6, Jā||= 4.3 and the angle between ä and 5 is e = determine if 5 is a unit vector…

A: We have to find if the given vector is unit vector or not.   According to our guidelines we can…

Q: 4. Use the definition of integration to find (1+2x' ) dx , that is find lim f(x; )Ax

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Q: The sum of the digits of a three-digit number is 11. The tens digit is three times the hundreds…

A: Let a be the hundreds digit, b be the tens digit and c be the units digit. Thus our required three…