What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

Q: Qal AIf fo =Sx-ul, gca)=x fin d fogcx) Then graph it determine domain and range.

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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A: We need to evaluate volume.

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Q: f(x) = x* – 72x2 Enter the critical points in increasing order. (a) Use the derivative to find all c...

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Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

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Q: Letting I répresent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up...

A: Rate of change of salt concentration = difference of inflow salt concentration and outflow salt conc...

Q: Evaluate the expression gP6 8P 9.

A:  Question: Evaluate the expression 8P6

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A: Given length = 5cm , width= 3cm , height=7cm Now all dimensions are increased by x and volume became...

Q: Suppose the infinite series > am is divergent. Then for any real number c, the series ca, is also di...

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: (1+4er²)(3-e+²)x er2 dx

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Q: Find the expression of the general term of the sequence given by: 32 2 4 8 16 1, 2'6' 24' 120’ 720

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Q: The position of a car traveling along a highway is given by the function s(t) = - + 31² + 20t – 3 wh...

A: Given:     Function st=-2t33+3t2+20t-3    where t≥0 Velocity vt=ddt-2t33+3t2+20t-3                  ...

Q: +00 1 9n? – 18n + 8 n=1

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Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 7y + ty + ...

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Q: Find a solution for y in terms of x that both satisfies the differential equation and passes through...

A: We have to find the solution of differenrial equation

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Product  Rule of differentiation: du.vdx = u.dvdx +dudx.v dcos(x)dx = -sin(x) dsin(x)dx = cos(x) dxn...

Q: 4 dx J (3+12x?)arctan 2x

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Q: Find the unit vector in the direction of the given vector a, and express it using standard unit vect...

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Q: Find the equation of the tangent plane to the surface z = ly² – lz² at the point (-2, 0, -4). 4x+0

A: Given   z=y2-x2 We have to find equation of tangent line at the point(-2,0,4)

Q: (x – 2)2 +1 if x 2

A: We have to check continuity of function at x=0 and x=2

Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 – 3y², and the plan...

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Q: 1. (a) Plot the first four terms of the sequence 3n2 Зп + 2 n=1 (b) (i) Write in bracket notation th...

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Q: List the eigenvalues of A. The transformation x-Ax is the composition of a rotation and a scaling Gi...

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Q: S sin 8x sin x dx O - 0. 02 O - 0. 01 O 0.02 0.01 O O O

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Q: -b 5dx If 1 48x2 + 1 = 2, what is the value of b? А.) 2 В.) 4 C.) 8 D.) 9

A: We can find the value of 'b' as below.

Q: x5+x-1 4. S**- dx x3+1

A: A detailed solution is given below

Q: 1. y = ax? + 2be2x

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: . Sketch the graph h(x) = x2 -x-12. Then, a.) Determine the line tangent to h(x) at x=c. What is it...

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Q: 7 - 7 cos (x) + 3x? Evaluate the limit: lim 10x2 Answer: Submit Answer

A: Please see the solution below.

Q: Find the point(s), if any, at which the graph of f has a horizontal tangent line. f(x) =  x2 x − 5 s...

A: We have to find the point at which the graph of f has horizontally tangent line

Q: +00 (-1)" n! n=1 O convergent O divergent

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Q: Find (f-1)'(a) for f(x) = 4 – 4x when a = 12. %3D Enter an exact answer. Provide your answer below: ...

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Q: A particle moves along the x-axis so that at time t > 0 its velocity is given by v(t) = 3t² – 30t – ...

A: topic - quadratic equations

Q: How do you find the derivative of function y=x^2-2radicalx/x

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Q: Evaluate the given integrals. 3x?dx 1. S 2х4-1 2 dx 2. S tan x(5+ln sin x) 3. Seš(6– ei)" dz 1 4. S ...

A: according to our guidelines we can answer only three subparts and rest can be reposted thanku.

Q: Solve the differential equation (D3 – D² – 4)y = 2x² – 4x – 1+ 2x²e2x + 5xe2x + e2x - - -

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Q: Use the sum and difference identities to simplify the expression. sin(-75)

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Q: Find the linearization of the function z =/ at the point (-5, 1). L(1, y)

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Q: A container with square base, vertical sides, and open top is to be made from 1000 ft2 of material....

A: Let the container has a base side "x" and height "y"

Q: A conical tank of water, 10 ft high with radius of 6 ft, is leaking at the bottom at the rate of 10 ...

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Q: Find a polynomial P(x)=x^3+ax^2+bx+c satisfying ALL of the following properties: i) x = -4 is a loc...

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Q: A particle moves along the x-axis so that at time t 0 its position is given by a(t)= t° – t² - 5t. D...

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Q: 1. (a) Plot the first four terms of the sequence 3n2 – 3n + 2 n=1 (b) (i) Write in bracket notation ...

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Q: 4. Verify. COSX 1+sinx = 2secx %D а. 1+sinx COSX b. cosx(1+ tanx)² = secx + 2sinx %3D

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Q: If x + y = 0 and x # 0, then what is the value of x 2007 y 2007 O -1 O 2 O 1

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Q: Derivative of T Determine the derivative of 1. y = 100 cos 3x 2. y = 5 tan (6x - 1) 3. y = 12 cot (-...

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Q: 5. S- x+4 -dx xp-

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Q: Question 1 Find the derivative of g(x) = 3 cos™' (x) at the point x = 4 %3D %3D (Enter an exact answ...

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