Type your answer in the following order and format: a=0,b=4. DO NOT include spaces in between characters. * Find the values of a and b such that fis differentiable at x=1 if (3x² f(x) = if x<1 |ax+b_ifx>1° Your answer

Q: Write an equivalent first-order differential equation and initial condition for y. y = -dt 1 ... Wha...

A: fundamental theorem

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 3 sin x) dx

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Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 s x5 8, 0 s ys V} 29727

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Q: The sum of a geometric series is as follows: S = 1.0 + 1.1 + 1.21 + 1.331 +... up to 50th term. Dete...

A: SUM OF GEOMETRIC SERIES

Q: Let v = (3, –5, 5). Find a unit vector in the same direction as v.

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Q: Use Theorem 7.1.1 to find £{f(t)}. (Write your answer as a function of s.) f(t) = sinh kt L{f(t)} %3...

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Q: y"-8y'+2y xe

A: Answer of given question is in step2

Q: A circle is defined by x + y = 9. The area bounded by circle and y-axis on quadrant II and III is re...

A: The center of the circle is (0,0). And it is symmetrical to the origin. The portion on quadrant II a...

Q: Let f(x) = 5x². a) Find the linearization L(x) of f at a = 5. b) Use the linearization to approximat...

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Q: Evaluate (x+y-4z) dV where E = {(x, y, 2) | – 7 <y < 0,0 < ¤ < y, 0 < z < ¤ + y?} . Round your answe...

A: We have to find the above triple integral solution. 

Q: Pollution levels in a lake have been modeled by the equation x = 0.09 + 0.16e-0.38t where x is the v...

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of in...

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Q: years is approximated by dh/dt = 1.7t + 5, where t is the time in years and h is the height in centi...

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Q: Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = mx + b; a = 67

A: Given that fx=mx+bSolution :fx=mx+bf'x=m

Q: Find the maximum and minimum values of f(x,y)=xy on the ellipse  4x^2+y^2=6

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Q: Find a root of the function f(x) = csc(3x-4) + In(x-2) - 3 from x = 5.7 to 6 using any bracketing me...

A: This question can be solved by the help of bisection method.

Q: The resale value R (m dollars) of a particular type of laser cutting tool t years after its initial ...

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Q: i-125 + 2i213 + 3i-314 5i97 – 4i85

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Q: 8. The graph of the function y=-x(x- 1)(x+2) begins in quadrant 9. The graph of the function y =x(x-...

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Q: Below is a graph of the derivative of a function f. y 3| (x from -1.3 to 2) A.0 -0.5 -1 0.5 1.0 1.5 ...

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Q: х+3if x1 6. lim x→1 f(x) f(x)

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Q: Prove that lim(4x² – 25) = -9 X-2

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Q: B) Use the diagram below to identify points, lines, and the plane. 1) List three collinear points. 2...

A: Given question:-  use the diagram below to identify points

Q: 1. find an equation of the line tangent to y = x-3 at point (O,-) %3D

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 6j as a...

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Q: The edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. Use differen...

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Q: What is the equation of the line tangent to the curve 9x^2 + 25y^2 – 225 = 0 at (0, 3)?  a. x + 3 = ...

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Q: entiable at x = 1. What is f_(1)?

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Q: The spread of a virus can be modeled by the following function where N is the number of people infec...

A: Given query is to find when will spreading be maximum.

Q: 1. lim x2 – 2x + 4 x→1 f(x) f(x)

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Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 91...

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Q: Find two unit vectors in 2-space that make an angle of 45° with 10i +3, NOTE: Enter the exact answer...

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Q: dt 20.5 t2+2t A - In|t? + 2t| + C B. 2ln +C C. In +C D. In + C

A: First we common out t2 from denominator and then put 1+2/t=u and differentiate both sides with respe...

Q: Determine where the function is (a) increasing: (b) decreasing and (c) determine where relative extr...

A: We have to find the monotone intervals, relative extrema.

Q: n² + 2n + 3 E-1)" 5n4 +n+1 n=1

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Q: 3 + 6.4x. Let f(x) We will use the interval bisection method to find an approximate solution to f(x)...

A: Solved below

Q: Use the chain rule to find the derivative of f(x)= 5e^-9x^3-6^x^7

A: Given query is to find the derivative of the expression  

Q: Evaluate the integrals that converge 32 1 dx 2 ㅇ x5

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: The sequence that begins 3, 3, 6, 9, 15, 24, ... could be O a geometric sequence. a Fibonacci sequen...

A: Topic = Sequence This Sequence could be a Fibonacci sequence.

Q: Find an angle 0 with 0° < 0< 360° that has the same: Sine function value as 250° degrees %3D Cosine ...

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Q: 2. f (x) - 2x2 if メくQ 2- メ if x 2 2

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Q: y = 3x2 from x = 1 to x = 2.

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Q: Evaluate / (ei + a* ) dt

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Q: Calculate the volume of the solid formed when the area shown below enclosed by the curve y = Vx, the...

A: To find the volume of the region bounded by the curve y=x, x=0, x=6:

Q: Find the volume enclosed by the torusp = 4 sin().-

A: The volume is given by: V=∫∫∫dv In spherical co-ordinate dV=ρ2sin φ dρ dφ dθ

Q: Find the product z,z2 and the quotient 2. Express your answers in polar form. z1 = 3(cos(250°) + i s...

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Q: Find the critical numbers of the functions below: f(x) = x^4/5 (x − 4)^2

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Q: Solve the following initial value problem. y6) -2y" +y' 3 + 7x e*; y(0)=y'(0) = 0, y"(0)= 1 The solu...

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Q: A=TTr Vr? th2. The radiu ight circular cone rand height h à gilen b A=TrVr? th? is in creasing at Th...

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Q: 1 Find an equation of the tangent line to the graph of g(x) =2--x at the point (2,0). Write the equa...

A: To find the equation of tangent.