Find the equation of the tangent line to the curve y = 4sec z – 8 cos z at the point 4). The equation of this tangent line can be written in the form y = mz +b where m is: and where b is:

Q: (a) Consider A B + X-1 7x2 - 17x + 38 C (x + 6)(x – 1)²- x+6 (x – 1)² (i) Use partial fractions to…

A: (7x2-17x+38)/[(x+6)(x-1) 2]=A/(x+6) +B/(x-1) +C/(x-1) 2

Q: The graph of the function f(x) is shown below in blue and has a vertical asymptote shown as a red…

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Q: The equation yz = 2ln(x + z) defines a surface S in R. The point P(0,0,1) is on the surface. (a)…

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Q: Find the derivative w = sin* y cos*y a. sin³ 2y cos 2y b. sin² 2y cos 2y c.sin 2y cos 2y d. sin 2y…

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Q: 12 (2). Here is an Ry region, in the XY plane: Consider the change of variable u = xy and v = 3y +…

A: Here we have to write the integral by using change of variable.

Q: 20 For the sequence an n+1' its first term is 10 20 its second term is 3 its third term is 5 its…

A: Given :an=20n+1

Q: 1 4 5 1 To find the blue shaded area above, we would calculate: 9. f(x)dx = area a Where: a = b =…

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Q: Use the Divergence Theorem to evaluate N ds and find the outward flux of F through the surface of…

A: We have to find the flux

Q: Find the slope of the tangent line to the curve - l2? – 2æy – 2y³ = 19 at the point (3, - 2).

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Q: The total cost to produce x handcrafted wagons is C(x)= 80 +3x -x +5x°. Find the marginal cost when…

A:

Q: A farmer has 2,000 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A: Maximize area

Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

A: Let's find.

Q: In 2 10e a 4.

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Q: 16. (sec x) dy ev+sin x || dx

A: Given query is to find the solution of the differential equation.

Q: 2. 2. A = Fral eDen Value 2. 1- and eigen Vetor note

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: a the inflection points of f(x) = 2x* + 11x³ – 9x² + 12.

A: Given query is to find inflection points.

Q: dy 20. Use implicit differentiation to find the derivative for the curve defined implicitly dx by…

A:

Q: b) Calculate the integral: - .- (x+ 2y) dædy where the region R is defined as: R= {(x,y) E R² : 0 <…

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Q: Given f(z, y) = – 3z' + ry° + 5y², find fr(x, y) = | fy(z, y) = |

A:

Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: (a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric…

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Q: 4 E(-1)" sin n=1

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Q: Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places.…

A: Given query is to find the value of the expression.

Q: If u(t) = (sin(7t), cos(7t), t) and v(t) = (t, cos(7t), sin(7t)), use Formula 5 of this theorem to…

A:

Q: t-4 lim x-3-3-ax

A: We have to find out the limit

Q: 7. Let f(x,y) = x²y+ry. Find an equation of the tangent plane to the graph of f at the point…

A: The detailed solution is given below Thank you

Q: 6. Solve the following differential equations: y'=e"(1+ y* ) a. 2+(y+2)x* =0; given y(-1) = 2. b.…

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Q: The total cost to produce x units of perfume is C(x) = (7x+7)(7x+6). Find the marginal average cost…

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Q: Find the equation which satisfies the separable differential equation dy – 15x dx with the initial…

A: Given dydx=-15xy    y(1)=-5To find solution:

Q: Let g(x) be a differentiable function for which g'(x) > 0 and g"(x)< 0 for all values of x. It is…

A: Given query is to find the possible value for g(7).

Q: x4/3' dx -1 | --

A:

Q: FIND THE GIVEN DIFFERENTI Homogeneous Eguation ( 3x + 4y) dx - dy -0

A:

Q: 2x3-5x2+x+6 (b) lim 7x3+xー32

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Q: Write expression log z14 as a sum or difference of logarithms with no exponents. Simplify your…

A: Given query is to expand the logarithmic expression.

Q: Consider the function f(x) = 3x? + 10x – 3. f(x) has a critical point at z = A. Find the value of A:…

A: The function f(x)=-3x2+10x-3

Q: What is the equation of the tangent line to the curve defined by the given function at the point…

A:

Q: 5 3 Let g and h be continuous functions such that | g(x)dx = 6 and | h(x)dx = 4. 3 Determine |…

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Q: (c) Let f(x) for x * -K %3D (x+ K) (i) Find f(x). (i) Use the result in (i) to find the function g…

A: To find out the f-1(x).

Q: FIND THE GIVEN DIFFERENTIAL EQUATION Exact Equation ( 2% ty cos x) dx + sın x dy = dy = 0

A: The given differential equation,      2x+y cosxdx+sinx dy=0

Q: Question 9 > A 25-year-old woman burns 800t cal/hr while walking on her treadmill. How many calories…

A: Solution: Given  Function of calories are  burned= 800t cal/hr  So for 3 hrs  t=3 So calories burned…

Q: 6+ 4 3- 2. -3 -2 -1 2 18 For the above rational function f( x) = 2.5x2 + 3.5 identify the interval…

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Q: AB is the vector from the point (1, –2) to the point (5, 1). Find a unit vector in the opposite…

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Q: Find the flux of F across S, F.N dS where N is the upward unit normal vector to S. F(x, y, z) = xi +…

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Q: Consider the functions below. f(z) = VT – I g(z) = r² +1 Find each of the following, if possible.…

A: Given query is to find indicated composite function.

Q: 0/11 3 Question 1 of 11, Step 1 of 1 Correct Consider the function f(x) = -x' + 5 on the interval…

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Q: Find the general solution of (3xy-y²)dx-(x²-xy)dy=0

A: As the equation is homogeneous , put y=vx and solve .

Q: Complete the table for a savings account in which interest is compounded continuously. Amount after…

A: Given query is to find the time taken to double the investment and amount after 10 years.

Q: D is some triangular domain in the xy-plane with area equal to 9. S i the triangular area that is…

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Q: Find the maximum and minimum values of the function g(0) = 30 – 8 sin(0) on the interval [0, T]…

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Q: Test the series below for convergence using the Root Tes 2n 7n +4 TL The limit of the root test…

A: