1 k + 2 k=4

Q: A function f is said to have a removable discontinuity at a if: is either not defined or not continu...

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Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

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Q: If F(x)=[ cos(t² +1)dt , calculate using the fundamental theorem of calculus derived version.

A: Given : F(x)=∫-xxcos(t2+1)dt Aim: to calculate using the fundamental theorem of calculus ,the  deriv...

Q: Match each property (a)-(d) with one or more graphs (I)-(IV) of functions. 4. (II) 4. 4 (I) 4. (IV) ...

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Q: Find the value of k so that the value of "(2y - 1) dy is 10. 1 3 4

A: Topic = integration Value of k is 4.

Q: 7. Solve for x: 48 = 6e4x b. log (x?) + 3log (x) log (32) а.

A: Given : a) 48=6e4x   b) log(x2) +3logx=log32

Q: 17. Find the area enclosed by the x-axis and the curve y = -x² +9 32 s.u. а. 3 b. 18 s.u. с. 36 s.u....

A: Find the area enclosed by the x-axis and the curve y= -x2+9 

Q: 9. An object is shot upwards from ground level with an initial velocity of 3 meters per second; it i...

A: When a object is shot upward (vertically) , its obtained height is given by                   H = (u...

Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Let's find. 

Q: 4. (x +y- 4) dx - ( 3x-y-4) dy = o when x=4, y=!

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Q: d.x Evaluate V3 – x dx Evaluate 3

A: Given that: ∫23dx3-x∫09dxx-13

Q: Solve the differential equation (D² – 1) y = x – 1

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Q: Equation Find Given dy dx 3. y = (a) when x = 4 %3D dt dt dx dy (b) when x = 25 = 2 dt %3D dt

A: Solution: y=x 

Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A:

Q: 7e*- 6y a Find the tangent plane to the equation z = the point (12, 24, 7) at Z =

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Q: Using the disk method, determine the volume of a solid formed by revolving the region bounded above ...

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Q: (a) Calculate the work required to pump all of the liquid to the top of the tank. (Your answer will ...

A: (a) Solution:-   Work required to pump water to height(h) =mgh  (where m= Mass of liquid , g= accele...

Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 8 In(c)

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Q: If dx dy and y = 27 14 when x = 1, find y(2). %3D 3x-2

A: ∫x3x-2dx

Q: Evaluate the integral fw(2w +3)² dw A.) w+4w3+w² + C B.) w+2w3+9w² + C C.) w2(w²+4w+9/2) + C D.) 2w ...

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Q: dy find for the following functions: dx (x²+x)(x²-x+1) y = x3

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Q: 13. To evaluate f 2costx-1 dx, the integrand can be transformed to 1-sin²x a. [(3cos³x+csc²x)dx b. [...

A: Here we have to transformed the given integrand.

Q: Given the differential equation y" - 8 y' + 16y 7sin(9x)

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Q: Suppose that h(x) has a continuous derivative h'(x), h(0) = -2, h(T/4) = 2 and tan(x)h'(x) dx = 4. E...

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Q: Question 1 If f(x)dx = 5, Lf(x)dx = 2, and fi f(x) dx = -1, find f(x)dx. ... А.) —2 В.) 2 С.) —3 D.)...

A: ∫ab f(x) dx =-∫ba f(x) dx ∫ab f(x) dx = ∫ac f(x) dx +∫cb f(x) dx

Q: f(x) = In(5 + 4x)

A: Given: - The function is, f(x)=ln(5+4x) To find: - The derivative of the given function.

Q: - 4x + 8 Suppose f(x) Fill in the blanks 5 below. (Note that it is common to say a limit "has a valu...

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Q: 8. Let f(x) = x3, g(x)= sin(x) and h(x) =Vx. Evaluate the following functions. a. h (g ("/2)) b. Dom...

A: f(x)= x3 , g(x)= sin(x) , h(x)= √x ,  Evaluate  a)h(g(π/2))  b) domain of g(f(x))  C) range of f(g(x...

Q: In Problems 39- 42, find the equation(s) of the tangent line(s) to the graphs of the indicated equat...

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Q: a. What is the radian measure of an angle that measures 240 degrees? Give the answer as a simplified...

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Q: Which of the following trigonometric equations meets the criteria given? A = -2, period = 4, phase s...

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Q: W 34° T2°

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Q: dy %3D 14 If and y = when x = 1, find y(2). dx V3x-2 27

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Q: Linear differential equation hith constart coefficients. 3 D = n- 4R+ 6) y

A: Given: D4-4D3+7D2-4D+6y=0

Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Let's find. 

Q: 11.Determine the equation of the curve whose tangent line at any point (xy) is e* – sin x and passes...

A: Given problem:- Determine the equation of the curve whose tangent line at any point (x,y) is ex -sin...

Q: -b 5dx If f = 2, what is the value of b? А.) 2 В.) 4 С.) 8 D.)

A: Given:       ∫1b 54 8x23dx +1 = 2 78

Q: 17. A boat is being pulled toward a dock as shown in the figure. If the rope is being pulled in at 3...

A: Follow the procedure given below. 

Q: Determine the behavior of the functions defined below. Note that it is common to write g(x) → 0" to ...

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Q: (a) Find the differential dy. y = V 24 + x2 dy = V 24 +x?

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Q: Use the position function s(t) = –4.9t* + 250, which gives the height (in meters) of an object that ...

A: It can be solved using simple differentiation and limits.

Q: In this calculus problem use the information in the graph thts ona separate attachment. a) whats...

A: Inverse function theorem(f-1)'(x)=1f'(f-1(x)) whenever f'(f-1(x))≠0

Q: Find the unit tangent vector T(t). r(t) = t?i + tj +4k, P(9, 3, 4) 1 T(3) = V 37 V 37 Find a set of ...

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Q: What should be the rewrite of the integrand of dx so that the resulting integral is integrable?. 4+2...

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Q: 6. Determine the value of the constant a for which the function g(x) is continuous at x = 1 x* + 5x ...

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Q: ghing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 2 fee...

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Q: If f(-2) = 2, write an ordered pair that must be on the graph of y = f(r + 4) – 3

A: Ordered pair represents the position of a point. X axis represents the left or right position , if l...

Q: (x+6)dx 4. S (æ+2)?

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Q: 1 + 20 f(x) , g(x) h(x) The partial fraction decomposition of can be written in the form of 3 + 3x2 ...

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Q: Find a parabola with equation y = ax + bx +c that has slope 7 at x = 1, slope -25 at x = -1, and pas...

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