find an equation for the tangent line to the graph of y=(5-2x)^2 at (3,1).

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: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 9(x² – ...

A: Given: y2=9x2-a2 Portion of the curve in the 1st quadrant is revolved about x=0 (y-axis) from y=0 to...

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

A:

Q: 1. Determine if the series cos" () en? n=1 is absolutely convergent, conditionally convergent, or di...

A: Given series ∑n=1∞ cosn1nen2

Q: Study this functicu Pex) =x² is it positive of negative o else • By using the first identification o...

A:

Q: Q2: Solve the following equation using bisection method to find the root between x1=1 and x2-3 make ...

A:

Q: x²dx Evaluate x2Vx2 -4

A: We will evaluate the given integral ∫x2x2x2-4dx in the following step.

Q: 4x Estimate the error in the quadratic approximation of f(x,y) = e sin y at the origin over the regi...

A:

Q: If m and n are odd integers, then so is m · n.

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

A: To find the value of c

Q: 1. Complete the following tables of values to investigate lim(x¯ - 2x + 4). f(x) f(x) 1.6 0.5 x+1 li...

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Q: H-wr Phavethat D2 22=o far the funstions far the kunction -2y t- Rx,y) = e Ln JxZ+yZ CooS 2X

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Q: 4. Find a polar equation for the curve represented by the Cartesian equation y = 3x. T = r cos 0, y ...

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Q: Find unit vectors that satisfy the stated conditions.

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Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and trace...

A: Identify and sketch the surface of the equation25x2-100y2+16z2=-400

Q: If a0=1, a1=5, and ak+1=-3ak-1+4ak for all k≥1, use methods of linear algebra to determine the formu...

A: We have to find the formula for ak  and the limit as k approaches infinity for ak+1/ak.

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: We know that vector component of v along b is v→·b→b→ Vector component of v orthogonal to b is v→- v...

Q: II. Evaluate the following limits. 1. lim sin x X→- 2

A: To find out the limit. 

Q: Let ex + 9, x 2 d. x = 2 Find the values of c and d that make f(x) continuous at x-2. d= (If the va...

A:

Q: (2 cos x–sin x )" dæ sin x

A: Given: I=∫2cosx-sinx2sinxdx   We know that; The trigonometric identities; 1). sin2x+cos2x=1 2). 1csc...

Q: dx Evaluate J 2/4+x²

A:    ∫1x24+x2dxLet x=2 tan u.=∫secu4tan2udu=14·∫secutan2udu=14·∫cosusin2uduLet v=sin u.=14·∫1v2dv=14-1...

Q: A. Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector...

A: To find out the unit normal vector to the surface at the given point.

Q: 11. Which model seems most appropriate for this scatter plot? a. linear b. quadratic c. exponential ...

A:

Q: a)Solve the following IVP: d^2y/dt^2 − 4(dy/dt )− 5y = 0, y(1) = 0, y′(1) = 2

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Q: The base of a solid is the region in the first quadrant bounded by the graph of y = sin xand the x-a...

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Q: sin 3x y = 4+5 cos(2x)

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Q: An oil tank is being drained for cleaning. After t minutes there are Vlitres of oil left in the tank...

A: Here we will find all asked quantities,  

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: Consider the fünction: f(x) = 5x + 15x² - 5x- 3 %3D Step 1 of 2: Determine the intervals on which th...

A: Concave up if f"(x)>0 Concave down if f"(x)<0

Q: S tan bxsec³bxdx

A:

Q: 8. What is dx (x2+8)3

A:

Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1 -...

A:

Q: ctivity 2. Answer the following problems. 1. A child is flying a kite at a height of 40 ft, that is,...

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Q: Find the antiderivative, G(t), of the function g(t) = (5n²t? – t*)v5n2 – t2.

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Q: Find the area bounded by y = sin(x) and y = sin*(x) from 0 < x<.

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Q: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point ...

A: The Parametric equations of the line are the components of the vector equation , and have the form  ...

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

A:

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k? = 0 and ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: Which of the following is true for the interval (2,0) for the graph of fAx) shown below? 5+ 4 3 -5 -...

A: This question can be answered by considering the slope of tangent at any two points in the given int...

Q: 3. a) Find polar coordinates (r, 0) of the point (1, -/3), where r> 0 and 0 <0 < 2 p2 = x² + y?, tan...

A:

Q: 2. Determine f'(-1) for the function f(æ) = (x" – 2r° + 1)(x³ + æ -- 2). 8 (B) 12 (C) 14 (D) -4 (E) ...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: 4. If g(t) = et +e-i' then g'(t) is which of the following? 2et + 4e2t (A) e2t + 2+ e=2t 2et + 4e2t ...

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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: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: Consider the points A(3,-3, 3), B(4, –5, 1), C(-2,-4, 1), and D(6,3,-5). (a) Find the volume of the ...

A:

Q: Find the volume of the solid generated by revolving the area bounded by x2 - 2kx - 2ky + k = 0 and 2...

A: Given curves are:  x2-2kx-2ky+k2=0 2x-2y+k=0 The area bounded by them is revolving about the line x=...

Q: How-3 Find Zxx if Z=fcusvd uz x?y,V=2xy Exfress the answer interms of Xy, Zu, Zv

A: Implicit Differentiation: If z=f(u,v) , u=g(x,y) and v=h(x,y) then, ∂z∂x=∂z∂u∂u∂x+∂z∂v∂v∂xand ∂z∂y=∂...

Q: The radius of a right circular cylinder is increasing at the rate of 3 inches per ninute and the hei...

A: Given:The rate of change in radius =3 in/mThe rate of change in height =4 in/mThe radius =9 The heig...

Q: 5. The amount of a certain drug in a persons blood t minutes after admin- istering the drug is given...

A: To find out the time it takes for the drug level in the bloodstream increasing.