Verify that f has an inverse function. Then use the function f and the given real number a to find (f-1)'(a). (Hint: See Example 1. If an answer does not exist, enter DNE.) x + 9 f(x) = x + 3' x > -3, a = 2 (f-1)'(a) =

Q: 4- The graph above is a transformation of the function a2. Write an formula for the function graphed...

A:

Q: Factor the following expression completely: bw – 14w³ – 12w? %3D

A: Given Data: 6w4-14w3-12w2

Q: C. а, %3D 3, аn+1 2an ; untuk n > 1

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Q: se at (r, s) = (1,0), where ds Use the Chain Rule to evaluate the partial derivative S(x, y) = In (x...

A: Given:- f(x, y) = ln(xy) , x=3r+5s , y=2r+9s  To find:- By using chain rule to evaluate the partial ...

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = 2x2 +3xy ...

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Q: Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero betw...

A: We will use the intermediate value theorem. 

Q: Complete the table to 5 decimal places and use the result to estimate the given limit to 4 decimal p...

A: topic - limits

Q: yx+1 y=0, 0. 7 about the ras Siatch the region. Skatch the solid. and a typical disk or washer 10

A: Here, the given region is bounded by the curves: y=x+1, y=0, x=0, x=7

Q: 47. For the equation: y= Vx? + 20x dy ay using the chain rule dx a. Find а. b. Find the slope of the...

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Q: dx 3.

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Q: Determine if the given function is continuous on each of the given intervals. A. f(x) = 3x³ + 4x² - ...

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Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = tan ...

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Q: 1132,510,1231,581,421,863,1490,682,1274,1183,945,1135,737,1068,946,1630,1037,2194,1357,443 find a)...

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Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -...

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx, y=32x...

Q: dx 1+x² plution as the answer is given.

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Q: Evaluate the integral. 了學 ( Inx dx O- In x - +C 2x 4x2 O-4 In x - + C 4x2 0.을 Inx- +C 2x2

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Q: A tree on a hillside casts a shadow c = 225 ft down the hill. If the angle of inclination of the hil...

A: Topic = Trigonometry Height of the tree is 130 ft.

Q: In a free-fall experiment, an object is dropped from a height of h = 256 feet. A camera on the groun...

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Q: A volume is described as follows: 1. the base is the region bounded by æ = - y? + 10y + 95 and æ = y...

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Q: 2. Find the indicated values. f(g(3)) f(x) 9(x) 51 54 S(8(1)) g(S(1)) 4- 4- 8(5(0)) 3 S(S(5)) 2- 2 S...

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Q: 2. Summation of a constant: E,=c, +c, +c3 +...+ c, = nc %3D Example Evaluate the following summation...

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y ...

A: Solve the curve by using cylindrical shell method.

Q: For the function f(x,y) = 3x2 + 7y2, find the following. f(x +h,y) – f(x,y) а.

A:

Q: C 1000 A В

A: We know that sum of angles of triangle  <A+<B+<C=180°  <A+27°+94°=180°  <A+121°=180° ...

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Q: Function Type Differential Operator ... AxN + BxN-1 + . + C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx...

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Q: f(x)=x2+9   g(x)=4x (f+g) (f-g) (fg) (f/g)

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Q: What is the derivative of the following function

A: Given that: 1. h(y)=y1-ey2. f(t)=1+5tln(t)

Q: Evaluate the integral. x+ 10 dx x+2

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Q: I. Determine the Fourier series of the following J sin(t) (0 <t<T) (7<I<2x) f(t) = a. Half-wave reci...

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Q: C 1000 A В

A:  We know that law of sine is : SinA/a = SinB/b = SinC/c. Here A,B,C are angle of triangle and a,b,c ...

Q: Given the differential equation y" - 9y = 7x5 + 4x² e-8t Find the Differential Operator for the Righ...

A: Consider    7x5+4x2e-8x Differential operator of 7x5 is D6Differential operator  of 4x2e-8x  is (D+8...

Q: A central angle ? in a circle of radius 6 m is subtended by an arc of length 7 m. Find the measure o...

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Q: From the graph of f, indicate the intervals on which f is continuous. 2 4 -8

A: The graph of a function f is said to be continuous in an interval if the graph runs continuously wit...

Q: F(x, y) = x²yi + 3y³x²j Find the integral curves for the vector field -6y + 1 C 6ху? a. ob. -6ху —1 ...

A: Apply integral form 

Q: sketch a graph of the function f(x)=2|x-4|-2

A: We can sketch the graph of the function by taking necessary points as below.

Q: x + 1 dx x,

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Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 11y and y = x with y...

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Q: The weekly cost C (in dollars) of producing x units in a manufacturing process is given by  C(x) = 8...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given: y=x+1, y=0, x=0, x=7

Q: Question 7 This is a cuboid. Which of the following is not a net of a cuboid? B

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Q: 1 Find the derivative of 24 – 3x² +5 글(21-3교2 + 5)글 (4z3 - 6z) 글 (21-3교2 + 5)굴 This function is not ...

A: We can take logarithmic to solve it easily.

Q: 3. The fuel used by a car is defined by f(x)=3x=/80-6x+245. where x is the travelling speed in km/h....

A: The fuel used by the car is given by the function: f(x)=310x2-6x+245 where x is the speed of the car...

Q: Find the centroid of the thin plate bounded by the graphs of g(x) = x2 and f(x) = - x+ 2. Use the eq...

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Q: 2 ,0, 33 2 53

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Q: Examine the following functions for maxima-minima and trace the curve a. Y=x* + 1 a?x b. Y= a² –x²

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Q: Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero betw...

A: Given function,f(x)=9x3+10x+6 between -1 and 0Therefore ,f(-1)=9(-1)3+10(-1)+6f(-1)=9(-1)-10+6f(-1)=...

Q: Continuity of Functions at a Point Determine if the given functions f(x) are continuous or not at th...

A: According to question,Given Function,fx = x2 + 2x +1 at x = 2

Q: Find the volume bounded by the paraboloid z = 1+ 3x? + 3y? and the plane z = 16 in the first octant.

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Q: Write as a decimal. (Type a decimal.)

A: