Use a triple integral to find the volume of the region bounded by z = 7x + 8y, z = 9, and the planes x = 0 and y = 0. NOTE: Enter the exact answer. 2187 V = 112

Q: A graph of f(x) is given below. Let F'(x) = f(X), (a) What are the x-coordinates of the critical…

A: Given graph of a function f(x)

Q: 3 d : 4me-m2 dy. dm

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Q: Using Sandwich Theorem 3n? + 1 an = (-1)" n3 – 4 converges to 1 diverges converges to -1 none of…

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Q: (3x? + у?)dx — 2хydy %3D 0

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Q: 2. lim (ex – 1)lnx X0+

A: (2). The given limit is: limx→0+ex-1lnx As we know that, the second indeterminate form is: ±∞±∞ ;…

Q: 2. dy dx

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Q: Find the indefinite integral. (Use c for the constant of integration.) (4t3i + 14tj – 6/tk) dt

A: we have to find the indefinite integral

Q: 7.) L13x + 1|dx

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: Find curl(7z i + 8x j+ 5y k). curl (7z i + &x j+ 5y k) = ( i )i + (i )j + ( )k

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Q: Definite Integral. 2.) S x²(2x³ + 1)*dx 4.) x?e*dx 6.) f- xp:

A: To integrate.

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: Find curl (7z i + 8x j + 9y k). curl(7z i + 8x j + 9y k) = ( i )i + ( i )j + ( i )k

A: This question is related to vectors, we will solve it using given information.

Q: 5 6 2 16 41 If =2 4 1 and B-3 3. find the sum of AB. 3 3 2

A: Matrix ab

Q: -Find Taylor or Maclaurin for the following functions: 1) f(x) = sin 3x

A: In this question we can find the Maclaurin series for the function. Maclaurin series for the…

Q: Find the values of a and b that make f continuous everywhere.

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Q: Verify Green's Theorem by evaluating both integrals y² dk + x² dy = / dA ay ax for the given path.…

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Q: Evaluate the integral (12x + 12y)dx + (9x-y)dy along the parabolic arc y = x from (0,0) to (1,1).…

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Q: Find the Taylor series for f(x) centered at the given value of a. [Ass f(x) = In(x), a = 6 |(-1)*+1…

A: We can solve this as follows:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1\ lim t++o \ 5t2 + 6'5t (0,0)

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: Find curl (2z i + 3x j + 5y k). url(2z i + 3x j + 5y k) = ( i )i + ( )j + ( 3 )k

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Q: Quéstión lốf 4 f(x) = (x³ + 2x)(2x – 1)5

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Find V (V x F), if F(z, y, =) = 3e""i+7ze'j – 3e"k. V. (V x F) =

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

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Q: Solve for the derivative of the following composite functions. f(g(x)) = (x + 4)5 1.

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Q: Solve the differential equation Integrating Factor by Linear Equation: dx + xcoty = ecosy dy

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Q: y = 3x - x² and y = 2x %3D

A: See the details solution in below

Q: x²dx с. (х-1) (х?+2x+1)

A: Topic:- application of integration

Q: Find the rate of change of w with respect to t at i = 1 by using the chain rule. You can check your…

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Q: Obtain the limits of the following functions: (2sinx-sin2x 1. lim x-sinx

A: To evaluate the limit of the function.

Q: Exercises Repeated Roots of Auxiliary Equation Find the general solution of the following: 3. (4D2 –…

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Q: for x[z] given by z1 x[z]: 1-z2 then X[00] equal to Select one: a. 0.5 b. 0

A: B is the correct option.

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 6tj – 6ik) dt

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Q: Use Green's Theorem to evaluate the line integral. | y? dx + xy dy C: boundary of the region lying…

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

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Q: Find div F and curl F if F(x, y, z) = 3e™Y i– 3 cos yj+ 10 div F=

A: Given: 3exyi-3cosyj+10sin2zk

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A: greens theorem

Q: Find the volume V generated by rotated the region 30) Figure 1 for Problem 30 Figure 2 for Pro fuに…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. 18.% I cos(m2") dy dz

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Q: dr 10. dr 11. (x – 1)2 12. sec 20 tan 20 de

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Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 s t s 1. (y - x) dx +…

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Q: Evaluate (2x - y) dx + (x + 5y) dy.

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Q: cosxsin?xdx Solve using algebraic substitutionf V1+sinx

A: We have to find Integration using algebraic substitution.

Q: 7. lim vx2 + x + 1 – Vx2 + 1

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Q: Solve d 4me-m2 dy dm

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Q: हम - (2) / हर्े 3

A: We can solve the given problem as follows:

Q: 1) Find and of the following equation then simplify whenever possible. dx dx² x = 2u* – u³ + u – 11…

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Q: 2. Use the definition of integral to evaluate the integral , (x3 + 1)dx. (hint: J f(x)dx = lim…

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Q: | (csc 0)(1+ sin? 0 + sin 0 cot? 0) do а.

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Q: Find T(t) and N(t) at the given point. r(t) = (t – 5)i + tj; t= 5 T(5) N(5) =

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