Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0 (5 marks )

Q: the Cartesian coordinates of (2, -7/3). Then plot the point. I=r cos 0, y = r sin 0

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Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high...

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: Use the given graph of f over the interval (0, 6) to find the following. y -1 1 (a) The open interva...

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Q: 3. Suppose that a function f has the following Maclaurin series: (-1)n+1 -(x – 3)" 3"n n=1 Find the ...

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Q: 12. Given f(x) - -5Vx + 2 and g(x) = vx+ 6, what are the restrictions on the domain for th 12. Given...

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as ...

A: Here we will find the magnitudes of both diagonals,

Q: Definitions/Examples a. A = {0, 0, =,A), B = {a, 0./. = } b. Every element in set A is also an eleme...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: 9y? = 4x3 from the origin to the point (4, %3D 144. Identify the length of the curve

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Q: Find the volume generated by revolving bout the line x = -1 the area bounded by (y + 2)? = 4(x + 2) ...

A: Let R be the reion bounded by y+22=4x+2 and x=-1.We have to find the volume generated by revolving t...

Q: 3. For the domain -2,-1,0,1,2,3 with f(x) = x + 2 and g(x) = 2x - 1 Determine the range of (gof)(x)....

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

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Q: Find S z? sin z dz

A: We will solve this question, using integration by parts .

Q: -3x 8 f(x) = - 5x + 8 - Step 2 of 2: Evaluate f "(3), f "(10), and f "(-2), if they exist. If they d...

A: First I have written the quotient rule of derivative and use it for given function and easily get th...

Q: Evaluate f(cos“ x – sin* x)dx

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...

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Q: dy If y = In V4x² + 5x_then dx

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Q: x dx

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Q: S tan bxsec³bxdx

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Q: Vx – x The lim x→1 In x

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Q: Evaluate the function y = - for x = 3 to x = 5 in steps of 0.5. Write the complete x+ code

A: % Matlab Code% defining the range for xx = 3:0.5:5;y = (x) ./ (x+(1./x.^2))

Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x – x3, x =...

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Q: Use the areas shown in the figure below to find the following. y = f(x) Area =0.7 Area =15 a Area =2...

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Q: (a) Find the average value of f(x) = 25 – x² on the interval [0, 2]. Answer: 71/3 (b) Find a value c...

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Q: 3 dx dy +zXxgd x = X %3D Ans: y

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Q: Vx- 2 dx E+ 1)

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Q: Click the play button and note the values of the angular speed w, and the linear speed v. (i) How do...

A: Given query is to find the correct answer for the relation between angular speed and radius , linear...

Q: What is the equation of the tangent line of y= -2x + 5 at any point? A. y = 2x - 5 B. y = -2x + 5 C....

A: Given y = -2x + 5

Q: find the range of the function f(x,y) given the function and domain. f(x,y)=x/y, D={(x,y): 0x}

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y2 = 4(x² – ...

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Q: Given x+ y +z=3 and Po(2,1,0), find the following. (a) Find the equation for the tangent plane at th...

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Q: 3. 2- 1- ol 1 4 Let R be the region bounded by the graph of y = Va – 1, the horizontal line y = 2, a...

A: As shown taking the horizontal stripe x changes from 1 to y2+1 because  y=x-1⇒y2=x-1⇒x=y2+1

Q: Find the area of the triangle with vertices P(1,5, –4), Q(0,0,0) and R(2, 3, 1). NOTE: Enter the exa...

A: Find your answer below 

Q: Sketch the graph of the level curve corresponding to z = 6 for the following function. z = f(x, y)=9...

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Q: 4. lim sin x X- 2

A: limx→π2sinx

Q: 12 TT CoS + i sin + i sin 6.

A: I am attaching image so that you understand each and every step.

Q: Find the area of the surface obtained by rotating the curve y = +, 1<1<2 about the y-axis. (a) 7(4 +...

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Q: Зх-1 13. f (x) = ;(-1,6] х2—7х-8

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Q: dy If y = x. 5* then dx

A: To find the derivative of the given function.

Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

A: Solution is here

Q: Compute the indicated derivative. U(t) = 5.1t2 – 1.7t; U'(3) U'(3) =

A: We can find the indicative derivative as below.

Q: Let a = ci + jand b = 8i + 15j. Find c so that the angle between a and b is. Round your answers to f...

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Q: 的+十」 (8-9) = TT

A: To evaluate the given integral.

Q: A dart is thrown at a number line in such a way that it always lands in the interval (0,10J. Let x r...

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Q: Sx Vx + 10 dx

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Q: Find the particular solution of the differential equation that satisfies the initial condition. f'(x...

A: I am attaching image so that you understand each and every step.

Q: Q4. Approximate the value of f xv2x² + 1dx using the trapezoidal rule with n = 6. Compare this resul...

A: I am attaching image so that you understand each and every step.

Q: The construction firm where you are working as an engineer plan to build a tunnel whose arch is in t...

A: The arch of the tunnel is in the shape of a parabola.Let road be the x-axis And given tunnel is 12m ...

Q: In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a m...

A: Given density function of time t in second for a rat for its way through maze  f(t)=0.04 e-0.04t