47. f(x) = V(3 – x) on [1,3]

Q: Describe the applied transformations from y = 32 to %3D graph the function g(x) = -2(3)-2x-6 + 9 %3D

A:

Q: 1. Maximizing. Determine the region R in the xy-plane that maximizes the value of SR S(9 – a2 –…

A: To determine the range .

Q: Determine the exact area between the x-axis and the curve defined parametrically by ¤(t) = ;t2 1…

A:

Q: Evaluate the line integral / (6x + 2y)dx + (x – 7y)dy along the 10 cos t, y in (0 <t: curve C: x =…

A: A detailed solution is given below.

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). 3 ||r(t)||³ r(t) = 3 cos(2t)i+ 3 sin(2t)j + tk…

A: The given formula is: κt=r't×r''tr't3 And rt=3cos2ti+3sin2tj+tk   As we know that; The Chain rule;…

Q: Find div F and curl F if F(z, y, z) = 9e#i-9 cosyj+3sin? z k. %3D div F = curl F=

A:

Q: हम - (2) / हर्े 3

A: We can solve the given problem as follows:

Q: 1. Given the General Solution the DE, Identify the roots * y = C1e4* + C2e¬* + C3 O A) m1= 4; m2= 0…

A:

Q: 3 Let F(t) = < 3 2t 3t -1' 3 - 5' 4 -3 Find F (t) F'(t) - < Question Help: D Video Add Work

A: Given: Now, we need to find r→'(t). r→'(t)=33t-1' , 2t3t2-5', 2t24t3-3'        =-93t-12,…

Q: -32 ft/sec?. Assume that the in n object's downward acceleration is given by y"(t) = elocity is y'…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

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

A:

Q: Evaluate the iterated integral. 7 8 6 | // * +v° + 2²) dx dy dz -6 0 0 / /(x² + x² + z²)dx dy dz i…

A:

Q: 2.) Sž sin"(x)dx

A: sin2x +cos2x =1 dcos xdx=-sin x ∫un du = un+1n+1+C

Q: n" is convergent. (2n)! Show that the series > n=1

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Follow the procedure given below.

Q: 9.) JE sin°(x)cos*(x)dx 11.) F sin°(x)cos²(x)dx 2

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

Q: Question 2 of 4 (x² – 1)(x + 1) (x2 – 2x + 1) :- f (x) =

A:

Q: A function f has the following graph: 4- 3 2 -1 0. 2 3 5 7 9 -1- Which of the following is true? O…

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Q: Find V. (V x F), if F(x, y, z) = 6e"²i+ 3xe"j – 6e²k. - V· (V × F) %3D

A:

Q: Q1: Find the length of a and b in the following triangle a 75 30

A:

Q: 465.98 23.98 2.789 56.09 ATATA TTA TA

A: Rounding up

Q: The linear system with corresponding augmented matrix 2 -1|4 is consistent. True False « Previous…

A:

Q: Find the critical points of the parametric equations x = 5 – Int y = t+ Int

A:

Q: Find V · (V × F), if F(x, y, z) = e"i+ 3ze'j – 5e"k. V. (V × F) =

A:

Q: Given the function f(x) = x² and the closed interval [0, 1], which of the following is a value of c…

A: Given query is to find the value of c.

Q: Solve the differential equation Bernoulli Equations: (x² + y²)dx – xydy = 0

A:

Q: Distinct Real Roots of Auxiliary Equation the general solution (D² – 9)y = 0 (D² – 1)y = 0 -

A: Topic:- solution of differential equation

Q: Complete the squares and locate all absolute maxima and minima, if any, by inspection. Then check…

A:

Q: Find V· (V × F) if F(x, y, z) = 7 sin xi + 5 cos(7:x – 8y)j + 6zk. V . (V × F) :

A: F(x,y,z)=7sinx i+ 5 cos( 7x-8y)j+6zk

Q: Find '(t) F'(t) ► <[

A:

Q: Question 8 Find the volume of the shaded region when revolved about the indicated axis. 21 x = V7+y…

A: Application of integration

Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = t'i+ t°j K(t)

A: The given formula is; κt=r't×r''tr't3 And rt=t2i+t9j

Q: Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become…

A: We have to find the underestimate and overestimate

Q: 6. Find y = f(x) given d²y = 5x? + 2 dx2 %3D

A:

Q: If f (x) : 2, what is the equation of the line tangent to f(x) at x = –1? O y+24x + 36 = 0 O y – 24x…

A: Given query is to find the equation of the tangent.

Q: (2a+1)(x–2) lim x00 (3x-1)(x+2

A: Given query is to find the limit of the expression.

Q: y = 3x - x2 and y = 2x 11 %3D

A:

Q: 1- cos4x lim→0 5x e N – 1 O 1

A: This is 0/0 form so use L hospital rule and Solve.

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

A:

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

A:

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Line segment AB is a diameter of the x² +y² + z² - 2z + 8y = 9. Find point B if A = (0, у, 0).

A: To find the point B if Coordinates  of A are given for the sphere.

Q: Find the area bounded by the curve r= 2+cos θ

A: Given problem:- Find the area bounded by the curve r= 2+cos θ

Q: d 5x+3 4. dx 7x+2

A: As we know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 And c·f'=c·f' ; where…

Q: A swimming pool full of water is in the form of a rectangular parallelepiped 5 m deep, 25 m long and…

A:

Q: 'ind V · (V × F) if F(x, y, z) = 9 sin ci + 5 cos(9x – 10y)j + 2zk. - V · (V × F) =

A: To find div (curl F).

Q: NOTE: Enter the exact answer. xe*y dy dx

A:

Q: Exercises Distinct Real Roots of Auxiliary Equation Find the general solution 5. (D² – 1)y = 0

A:

Q: Consider xy2+x2y=6, find the slope of the tangent line at the point (1, 2)

A: Given query is to find slope of the tangent at given point.

Q: Find the general solution 5. (D² – 1)y = 0

A: