Provide an equation of one of the common functions with multiple transformations. For example, f(x) = (x - 2)2 + 3.  Give the basic function and it's properties, as well as, the transformations utilizing transformation vocabulary (horizontal shift, vertical shift, reflection, etc.) Additionally, provide a picture of the graph of the example from desmos (Links to an external site.).

Q: The derivative of the function y = log2(In(x)) is:

A: We can find the correct answer as below.

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated axi...

A: Given query is to find the volume of the solid generated.

Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = = +4 A =

A: We have to find the area of the shaded region of the figure given below.  Cleary the shaded region ...

Q: Question 7 Find dy/dx. y = x$ sec (–) (A x3 sin 5x cos x + x² sin² 5x () B -x3 sec + 5x4 tan sec (c)...

A: here problem of differentiation we use d(u*v)/dx rule d(u*v)/dx = u*dv/dx + v*du/dx so answer is giv...

Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x + In|x² + 1| + C - x cot-...

A: Topic = Integration

Q: Evaluate the integral. de +C VI- 25 NOTE: Enter the fully simplified answer with no fractions under ...

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Q: Jertical asymptotes at x = -4 and x = 3. x -intercepts at (1,0) and (5,0) ot mol h y -intercept at (...

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Q: With the given equation y = x² + 1 Find the instantaneous rate of change of y with respect to x when...

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Q: 1. f(x) = x2- 6x + 3 is continuous on the interval [- 3,2].

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Determine the total work done by the force field F(x, y) =. over a particle that follows the path de...

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Q: Using an appropriate substitution, (cos-1(x)) e the integral f dx equals: V1-x2

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Q: dy For f vỹ+'Y = vy+/ O y = u^2 O y = u^4 O y = u^(1/2) O y = u^(1/4)

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Q: dy/dx

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Q: 36x2 + 25 dx x2

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Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the equa...

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Q: Select ALL possible answers if there is more than one. (3-2x ifx<2 [3x-7 if 2sx' Which of the follow...

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Q: And the Inverse function ofr over the glven Interval. Describe the relationship between the graphs. ...

A: f(x)=xx2-9y=xx2-9x2y-x-9y=0(Quadratic equation):comparing with:ax2+bx+c=0roots are:-b±b2-4ac2ahere, ...

Q: Q3 : Find the PA=LU factorization of the following matrices: 2 4-2 6 0 2 4 -2 A = 3. В 6 0 3 4 2 4 4...

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Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

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Q: 15-20 1 Solve the initial-value problem. 15. x²y' + 2xy = In x, y(1) = 2

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Q: Using the method of substitution, b. I : x2 /9x + 7 dx f(u) du %3| a where u = du dx a = and f(u) = ...

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Q: 2. * S 4 (;- e-²) cos (e-2 + Inz) dz 4 sin (e-z + In z) + C A C sin (e-Z + In z) + C B 4 sin (; - e-...

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Q: Find dy/dx of y=sin -1(1/x). (A x²– 1 3 B 1- 9x2 1 9 D 1-x2

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Q: Given f(x) = 2-92+20 what should be assigned to f(4) to make f(x) continuous -4 at z = 4? For those ...

A: To solve this question we need to apply the condition of continuity of a function at a given point.

Q: DO NOT include spaces in between characters. * Given F(x)= f(x)g(x) and f(2) = -3, f'(2) = 4, g(2) =...

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Q: Evaluate the definite integrals (give exact answers): 3 a) | (2x +3)(x – 5)dx 2 1 - (2³ – 2x² + 1)dx...

A: a) ∫23(2x+3)(x-5)dx ∫23(2x2 -10x +3x -15)dx ∫23 2x2 -7x -15)dx [2x3/3 -7x2/2 -15x ]23 18 - 63/2 -45 ...

Q: If f(x) 3 cot lr+ 4, then find the value of f'(-1) is > 8 m IN O O

A: Solve the function

Q: An object is thrown vertically upward from the ground with initial velocity of 96 ft/sec. find the m...

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Q: dy Find using implicit differentiation, for the equation a + y = 7 is dr

A: We can find the correct option as below.

Q: 1. Find the derivative for each of the following functions Simplify and factor when possible! a) g(x...

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Q: find eigen value of matrix A -2 A = 2. -4 2.

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Q: P,Q,R be distinct collinear points with coordinates x,y,z respectively. If x<y<z the Q is between P ...

A: By the ruler postulate: PQ = |y-x| QR= |z-y| PR = |z-x|. But y-x is positive because x &lt; y; sim...

Q: Find || (x, y) dA where f(x,y)=y and Ris the region bounded by y = x² and y = x. (A) (c) (B) 12 15 r...

A: Given: I=∫∫Rfx,ydA ; fx,y=y And y=x2 &amp; y=x   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; ...

Q: For f dw ,w = w-wa O w = u^(1/3) O w = u^3 %3D O w = u^(2/3) w = u O O

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Q: For S V1+ vĩ dx,x = O x = u^(1/4) O x = u^(1/2) x = u^4 x = u^2 O C

A: This can be solved as follows:

Q: S sin(1 – x) (2 – cos(1 – x))* dx A (2-sin(1-x)5 (2-sin(1-x)5 +C +C D (2-cos(1–x)5 +C (2-cos(1–x)5 +...

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Q: The Cote family car gets between 25 and 29 miles per gallon of gasoline. The fuel tank holds 17 gall...

A: We have to solve for given conditions. 

Q: f (x) = x(x + 3)² %3D , Find a so that f'( a ) = 0. Hint. Use the product rule. there are two soluti...

A: The given function,       f(x)=xx+32

Q: Find the interval on which f is increasing and in which interval f is decreasing

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Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

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Q: Solve the following First Order Differential Equation: + 2y = 1 dr

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Q: Solve simultaneous equation dx/dt=3x+5y , dy/dt=-x-y , x=5 , y=-3

A: We need to solve the given simultaneous equations, dxdt=3x+5ydydt=-x-y at x=5, y=-3

Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

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Q: Using Reciprocal Substitution * dz . For S: zv4z+z³ Option 1 Option 2 Option 3 NONE OF THE CHOICES

A: This is a problem related to integration. By using reciprocal substitution as below we will solve th...

Q: Exercise III Let (a) o = x²y +xż and (b) ó = x² + y² + z?. Then, respectively attempt to find the di...

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Q: Calculus: In a certain city, the probability density function for x minutes to be the length of a te...

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Q: 1. Below is the graph of f (x) = |x|. Using the left side of the function with the equation y =- x, ...

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Q: MAXIMA and MINIMA Problems Solve the following problems below. 1. A function is given below, what x ...

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Q: Evaluate the given definite integral by any applicable method. * 10. 1dx 32 b.- 15 32 с. 15 15 d. no...

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Q: 5 2 +2 ) dx using Estimate I - n = 4 subintervals and (a) Left endpoints. (b) Right endnoints.

A: solution:-I=∫152x+2dx,     n=4f(x)=2x+2∆x=5-14=1(a) Left end pointI=∆xf(1)+f(2)+f(3)+f(4)   =14+3+83...