F- 2x-7 h(a) √√x +3 the function Find the Domain (11) Range of (11) Show wheather the function is injective (iv) Find the Inverse of function ERA the √x-tout <= 7± 3

Q: In5 x ,2 limx→+00

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Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,∞) f-1(x) = =

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Q: Use the first derivative to determine where the function is increasing and decreasing and where all…

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Q: 10 = (+5x)dx 45x+9 -1 7/4 52 (+9) + 48 (x+g)' f(x+9) + 2

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Q: Evaluate the equation f f ² sin (ry)dyda Select one: O a. / O b. 2 c. O d. (²+4) (+4)

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Q: The area of the region bounded by the curve y = x² and the line y = 16 64/3 256/3 128/3 32/3

A: Given :   y=x2 y=16

Q: (2x²² +ex) dx + (x² + 1) = "² dy (x²-y) dx x dy

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Q: Find the gradient of the function g(x,y) = xy² at the point (3, -1). Then sketch the gradient…

A: Given:        Function gx,y=xy2   The gradient of function                  ∇gx,y=gx,gy   Taking…

Q: Evaluate each limit if exist lim x -> 0 (\sqrt(x+7)- \sqrt(7-x))/(2x) lim x ->3…

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Q: 12. What is the amplitude of the graph below? y 4 0 8+ 7+ 6+ 5+ 4+ 3++ -1- -3+ -4+ -5- -6+ -7+ -8+…

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Q: (1 + x³) dy - x² y dx = 0, when x = 1, y = 2

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Q: Additional Activities (-2.39) (14) 4 20 10 885 40 50 1 (2.7 3 B. Locate and classify the critical…

A: Given

Q: 2 3/2 √₁² (4- x²) ³/² dx

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Q: (-2, 39) 4 10 10 20 10 10 -20 30 40 1 (14) (27) 3 B. Locate and classify the critical point of y =…

A: The equation of the curve is given by , y=23x3-2x2-6x+2Now, We will apply the second derivative test…

Q: A drag racer accelerates at a(t) = 96 ft/s2. Assume that v(0) = 0 and s(0) = 0. a. Determine the…

A: To find out the distance/position function.

Q: 3√3 dx √3 x² √√x²+9

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Q: Find the general solution of differential equation, and when initial conditios are given, the…

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Q: 7x Find the linearization L(x,y) of the function f(x,y) = e cos (9y) at the points (0,0) and 0, ¹2…

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Q: Find the equation of the tangent line to the graph of the function f(x) = sin (3√√) at the point

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Q: Find the center of the mass of a thin plate of constant density & covering the region bounded by the…

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Q: Use the series to evaluate the limit tan-¹ y - siny lim y→0 y³ cosy

A: Expand series and solve

Q: Given: g(x) = x² + 4x=2 Find and simplify (g°g)

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Q: Find values of x and y such that  fx(x, y) = 0 and fy(x, y) = 0  simultaneously. f(x, y) = 7x3 −…

A: This question is based on Partial differentiation.

Q: 5-x Find the family of the curve whose slope at any point is y-3 passes through the point (2.1) and…

A: Topic:- calculus

Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.)…

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

Q: 4. According to the following table, what is the limit of this function as x approaches 0? X -.01…

A: From the table, it is clear that: limx→0-f(x)=2&amp;limx→0+f(x)=2

Q: 17. What is the amplitude of the graph y = -4sin (x - 2)? The amplitude is units. 4 02 2π K|2

A: Given problem :- 17. What is the amplitude of the graph y = -4sin (x - 2)?

Q: RIN Find the linearization L(x,y) of the function f(x,y)=e4x cos (3y) at the points (0,0) and 0₁-…

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Q: 6 cos3x cos4x dx

A: To evaluate: ∫π6π2 cos⁡3xcos⁡4xdx Let I = ∫π6π2 cos⁡3xcos⁡4xdx We know that 2cosAcosB =…

Q: Solve the initial value problem 2y" + y' - 10y = 0 y(0) = 0 y'(0) = 1

A: We have to solve the initial value problem.

Q: The graph of y=f(x) is shown. Draw the graph of y = -f(x). 17 Ex X 3

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

Q: If the radius of a cone increases at a rate of 36 inches per second and the height decreases 2 feet…

A: Given

Q: f(x)=xe*, a =0

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 3. A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing when…

A: We know that volume of the balloon is V=43πr3                          (1) Given that Spherical…

Q: HOW DID YOU GET THE ANSWER??

A: Let's find general equation of circle.

Q: Find the extrema of each given function on a specified closed interval. 1.) g (x)= x³ - (3/2)x²,…

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Q: A parabola has an equation of y - 3x = 0. Compute for the surface area of the solid generated by…

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Q: 1. Find the slope and the rate of change of the slope with respect to x when t = 90°. x = 2…

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Q: 5x-2 Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: A patient is administered a dose of 50 mg of a drug. If she is hooked to an IV that injects an…

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Q: Given : f(x) = 10 -x 9(x) = x² - 4x-2 Find and simplify (fºg)

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Q: Find Vf at the given point. f(x,y,z) = x² + y² - 3z² + z lnx, (1,2,3) Vf|(1,2,3)+( = )j + (k…

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Q: Solve the boundary value problem y" + 4y' + 13y = 0 y(0) = 0 y'(pi/2) = 0

A: To solve the given differential equation

Q: Evaluate the following limits 2x a. limx→>+00 3x²

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Q: Evaluate the following integrals: (show solution) a x² +2 b.) 1 x+1 x+√x c) f(sec x d.) e 4x 4x+1 x…

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Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: to find the aren ruse 2) Use a polar integral enclosed by the three-petaled r = singe

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Q: (x-1) dy + (y-2) dx = 0

A: To solve the given differential equation

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 ex cos (yz),…

A: Topic:- application of derivatives

Q: Determine el valor de a € tal que: 80 ex e2x + 1 58⁰ a -dx = R+

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