,3 dx 3 Vx²-16

Q: |A:k||2||Br:||2) < ||A||F||B||F k=1

A: answer is in next step

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A: We have to use the concept of derivatives

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A:

Q: Q1/ Find the volume of the solid generated by revolving the region bounded by y = Vcos x, y 0 & Osxs…

A: Disk method: The disk method is used to find the volume of a solid when the axis of revolution is…

Q: 6x° – 15x* + 20x – 1 and classify them using a Find the critical numbers of the function f(x) =…

A: Given the function

Q: find the flux of 3 – e")i+ (y³ + sin z)j+ (z³ – unded above by z = V4 – x² outward orientation.

A: We have to find the flux using the divergence therom according to the given information

Q: The solution to the indefinite integral 3. + 7x 1)dx is given by which of the following? Note: C is…

A:

Q: Use Stokes' Theorem to evaluate curl F· ds. F(x, y, z) = ze'i + x cos(y)j + xz sin(y)k, S is the…

A: Stoke's theorem: The surface integral of the normal component of the curl of F is equal to the line…

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A:

Q: Consider the points below. P(3, 0, 3), Q(-2, 1, 4), R(7, 2, 5) (a) Find a nonzero vector orthogonal…

A: calculation of above requirement are as follows

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A: We have to choose correct option

Q: Use the function to find the image of v and the preimage of w. T(v,, v v,) = (4v, - v,, 4v, + 5v,),…

A:

Q: Evaluate the integral. dx (х — 9)(х — 18) (Use symbolic notation and fractions where needed. Use C…

A:

Q: Evaluate the definite integral. i+e"j+t k)dt 15t (el3 – 1) i – (e~1 – 1) j +k i- (e - 1) j+, k O els…

A:

Q: Describe the graph of the equation x2 + 4x – 16y + 36 = 0. -

A:

Q: 3 For the given equation f(x) = x³ +a2 %3D 6x + 10

A: f(x)=x^3+3/2x^2-6x+10 f'(x)=d(x^3+3/2x^2-6x+10)dx f'(x)=3x^2+3/2(2x)-6(1)+0 f'(x)=3x^2+3x-6 take…

Q: f (x) where f(x) and g(x) are seen in the graph. lim r-0 g(x) y. 5 3 f(a) 2 -5 -4 -3 -2 2. 9(x) -5

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Q: To rationalize the denominator of 45 what value should the numerator and denominator be multiplied…

A: We can answer the question as below.

Q: Mark the critical points on the following graph. 교e-등, 98 980+ 882 784 686 588 490 392 294 196 98

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Q: 4. A COHunu Iunctio JU), laS a uoma -6 <x<-2 x=-2 -2 <x<0 x=0 0< x<6 f' does not exist f" does not…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Determine the area to the left of g(y) = 3-y2 and to the right of x = -1

A: Area

Q: ve the following differential equations of dy r'y-r'. d = y* · cos(x). dx

A:

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A: We have to find k(t)=?

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A: According to guidelines,  we must answer only three of the multipart questions given. Please…

Q: y'= x(5-x)² when: Theni I y=0 y=0 x: 0 (0,0) Use vertical element metho d: y x(5-x)*

A: Given question is solved with explanation.

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A: The temperature T in degrees Fahrenheit of pecan pie is modeled by T=f(t) where t is the time in…

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A: Solve the following

Q: Find the derivative. ( cos ft dt x10 COS^/

A:

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A:

Q: y6 16 (1). Consider z as a function of the variables x, y which is defined by z = ln(x®y) + and let…

A:

Q: Find the Cartesian coordinates of the given point. (8, 0) 1) (0, 8) 2) (-8, 0) 3) (8, 0) 4) (0, -8)

A: Given problem:- Find the Cartesian coordinates of the given point.   (8,0)

Q: (235 – 4.x25 + 2x)dx

A: The detailed solution is given below Thank you

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A:

Q: initial deposit of $1,000 is placed in a savings account with an APY of 4.3% sume the interest rate…

A:

Q: Use the Divergence Theorem to calculate the surface integral F• ds; that is, calculate the flux of F…

A:

Q: cOs x dx sin² x+ 2 sin x+5

A:

Q: Let y = tan(4x + 4). Find the differential dy when x = 4 and dæ 0.2 Find the differential dy when x…

A:

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from x = 0 to x = 6

A: ∫c(2x-y)dx+(x+7y)dy x axis means y=0 dy=0 limit of x from x=0 to x=6

Q: Let f be a function admitting continuous second partial derivatives, about which it is known that:…

A:

Q: Find the volume of solid generated by revolving the region bounded by the curve y=4/x' and the lines…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Ise Stokes' Theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above.…

A: Using stokes' Theorem we have to evaluate given integral

Q: (y – x) dx + 15x?y? dy

A: answer is in next step

Q: Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in…

A:

Q: Let fa)=S(-5-x2 + 23x +19 f Xチー6 if X= -6 calculate the following limits. ENter DNE if the liniit…

A: l

Q: Evaluate the indicated partial derivatives. z = 6a?y – 4a°y dz dz ду

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Q: The ellipse shown below has parametric equations x(t) = A cos t, y(t) = B sin t, 0 <t< 27.

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Q: Calculate the derivative. y = 2 cosh (x) coth (x) (Give an exact answer. Use symbolic notation and…

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Q: Given x sin 4t and y = cos 4t, find the following derivatives as functions of t .

A:

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A: For critical points first derivative must be zero If second derivative is less than zero then local…

Q: For the linear transformation T: R* - R, T(v) = Av, find T(1, 0, 2, 3) and the preimage of (0, 0,…

A: