Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the equation of the tangent line of the function 1 1 at a = 3. Select one: I+ 4y – 5 = 0 *- 4y – 5 = 0 O 4r – y + 3 = 0 O 4z + y – 3 - 0

Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the ge...

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: Find the first and second derivative of the function. x3 + 5x? – 4Vx F(x) :

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Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is

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Q: 8.What is the derivative with respect to a of f(x) = (5 – x2)²? оА. (5 — а?) (5 — а*) O B. 2(5 – a?)...

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Q: Write the following sum as a single logarithm. Assume all variables are positive. log,(c) + log,(c +...

A: To find: log3(c)+log3(c+4)   Formula: loga(xy)=loga(x)+loga(y)  

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Q: Find the general term of the sequence, starting with n = Determine whether the sequence converges, a...

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Q: 4.24)ay +(ゲーメッ)ty ニこ

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Q: PART A On a certain day last summer, the Snohomish river near Highway 522 was flowing roughly 1.6 m...

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Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To estimat...

A: Explained below 

Q: A company that makes thing-a-ma-bobs has a start up cost of $49137. It costs the company $3.02 to ma...

A: the values are:-

Q: Find a vector that is orthogonal to both v = (1, –2,3) and w = (2, 1, –1).

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Q: 5. Let, f(x, y) = V5x5y – x²y3 (a) Find the slope of the surface z = (b) Find the slope of the surfa...

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Q: C(x) = 15000 + 500x. (A) Find the average cost per motorcycle if 500 frames are produced. Ave. cost ...

A: we have givenC(x) = 15000+500xwhere x is number of frames 

Q: 5. Exact Diffe re ntial Equation: x(3xy – 4y' +6}dx+(x' – 6x² y² -1dy =0

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Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

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Q: If a tank holds 2000 gallons of water, which drains from the bottom of the tank in 40 minutes, then ...

A: This question can be solved by applying the concept of rate of change of quantities.

Q: In running events, Banjo always trails from Bibo. Moreover, Kim runs faster than Bibo. Does Banjo r...

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Q: TC nts) Find the equation of the tangent line to the curve y= sin (3x) at r=-. Show all steps clearl...

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Q: 19.What is the derivative with respect to a of f(x) = 4-32 3z+2 4x-3

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Q: 8. The differential equation (2x-xy-2y+3}dx-(x*y+2xkty = 0 is exact because ÔM ON

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Q: dx 3. (a) Evaluate S (b) Evaluate Jo x²-6x+10' 1+sin x 1 dx

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Q: 4. Homogeneous Diffe rential Equation: (r* + 2.xy – 4y° kx-(x²-8ry-4y dy 0 Use the substitution y = ...

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Q: Eliminate the arbitrary constants y = x2 + ax + be-*

A: We have to eliminate the arbitrary constants y = x2 + ax + be-x

Q: Please show your answers to at least 4 decimal places. Suppose that f(x, y) = x°y. The directional d...

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Q: 2) Sketch the graph of the curve with the polar equation: r=2- sin(20).

A: Polar equation of the curve is r=3-sin(2@)

Q: Which of the following is equivalent to sec B(tan?B+1) for all values of ß for which sec B(tan²B+1) ...

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Q: trigonometri

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Q: Use Simpson's rule with n = 4 to approximate 5/ a2 + xdx Keep at least 2 decimal places accuracy in ...

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Q: Write the following function in terms of its cofunction. COS Write your angle in radians, and make s...

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Q: exV – 1 Let g(x,y) (a, b) = (1,0). Show that lim g(x,y) does not exist. (x,V) - (a,b) %3D %3D x+y - ...

A: Firstly it should be proved that limit does not exists and then recognize the two limit values so th...

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Q: 10) du(3リ+3 4x + 5, 二 dx

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Q: What is the general solution to the differential equation dx 8e4x 2 cos(2y) A 2 sin(2y) – 8e4r = C -...

A: topic - differential equations

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Q: Solve for x. 8e^(-7x)=2

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Q: Answer the question below: Let h(x, y, z) = ze*y + x² cos(z) cot(y³). The student should find hyzx.

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Q: 11.What is the slope of the tangent line to the curve y = 3x? – 5 at poin - O A. -7 О в. -5 O C. -6 ...

A: Differential equation 

Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C , A and B are constant, C is a parameter

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Q: QUESTION: The second derivative represents the rate of change of the first derivative. Select one: T...

A: Given :   The second derivative represent the rate of change of 1st derivative ?

Q: A. Evaluate the following integrals of inverse trig functions. dx 1. Evaluate S- x Vx2-n dx 2. Evalu...

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Q: If h(x) = V5 + 4f(x), where f(1) = 5 and f'(1) = 2, find h'(1). h'(1) =

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