Express the function in the form fogo h. (Use non-identity functions for f, g, and h.) H(X) √√2 + 1x1 = (f(x), g(x), h(x)) =

Q: The general solution of a differential equation is y(t) = (A cos(5t) + B sin(5t))e5t − 3 cos(3t) + 4…

A: Please see the below picture for detailed solution.

Q: Obtain the general solution of the following differential equations. 2. (D2-4D + 3)y = 20 cosx

A: Given; The characteristic equation is m2-4m+3=0. So,                  m2-4m+3=0⇒m=--4±-42-4· 1· 32·…

Q: Find the Standard and General Equation and other parts of Hyperbola given Center (1,1), one of the…

A: We have to find the Standard and General Equation and other parts of Hyperbola.

Q: Evaluate the integral. 5 S √x (3+5√x)* 5 √x (3+5√x) S 6 dx = 6 dx

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Q: 7. Determine values of a, b, and c such that the graph of y = ax³ +bx² + c has a local extremum at…

A: To determine the values of a, b, and c such that the graph of y=ax3+bx2+c has a local exremum at 2,…

Q: Given that 7 ≤ f(x) ≤ 9 for -2 ≤ x ≤ 2, estimate the value of ≤ [² f(x)d f(x)dx ≤ f [ ²³ f ( ²…

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Q: Solve equation on the interval 0 ≤ 0 < 2π. 5 sin2 0 - 12 sin 0 + 7 = 0 0 =

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Q: A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $8 the…

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Q: Integrate the following: (a) √(x¹/² + 3x + 2)dx 1/2 1

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

Q: The circle below has a radius of 1. At an angle of 30°, find the exact length of   u.

A: The circle is given by The radius of the circle, r = 1 To evaluate: The exact length of u.

Q: Sketch and find the volume of the solid when the area enclosed by x = √y and y = x is rotated......…

A: Given that , x=y and y=x find the volume of solid.

Q: 6. f(x) = f(-4)= 5 -2x-3 Domain: Function: Yes No Continuous: Yes No f(0) = f(3) = x≤-3 x>-3 Range:…

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Q: Which of the statements a through i about the function y = f(x) graphed here are true, and which are…

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Q: x () - (-). y (1) J

A: Givenf(t)=sect   We are required to find f''π4

Q: Evaluate the integral using integration by parts. 8x³e²x dx 2x

A: Topic = Integration

Q: Find the following limit. u³-27 3 lim 4 u-3u-81

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Q: m #5: Which differential equation corresponds to the following slope field? 0.5- -0.5- -1 (A) - ²…

A: for the given curve is is clear that  at  x=0   ,dydx=∞ans at y=0   dydx=0or y= contant

Q: Integrate the following. Reduce answers to its simplest form if possible. 1 (a) paź x2 +5 dx 3√x (b)…

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Q: Find the derivative of the following: 1. y = 3-2x 3+2x 2. y (x²+4)²(2x³ — 1)³ = 3. If y = x² - 4x…

A: Since you have posted question with multi parts. As per guidelines we are supposed to answer only…

Q: Question 4 Find the transform of the given function by use of a table. f(t) = e-4t A F(S)-+4) = ® B…

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Q: 1. Let a be a real number and f be defined by { What are the values of a for which f is continuous…

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Q: 03* 1 Which of the following expressions is not a valid antiderivative of for x > 0? x In(x+1)…

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Q: Find an equation of the tangent to the curve f(x) = 2x² − 2x + 1 that has slope 2. A. y = 2x B. y =…

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Q: In 1993, the cost of a painting was about $10. In 2002, the cost was $20. If the cost is growing…

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Q: Graph the function. y = |x-21+2 O A. -10 10 -10- 10 O B. -10 10 Ay X 10 Q Q O C. -10 10- -10- 10 O…

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Q: 9. 49x² + y² = 49 Equation vertices: co-vertices: foci:

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Q: x² - 49 lim x-7 x-7

A: We need to solve the following limit limx→7x2-49x-7

Q: Evaluate the integral using integration by parts. 3 √7x³,2x dx 2x √7x³e²x dx =

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Q: Find the derivative of y with respect to the appropriate variable. y = (5 – 50) tanh -10 O A. O B. O…

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Q: If an object travels in the xy-plane along the curve traced out by 
the vector function r(t) = (t…

A: We have to find the total distance traveled by the object from t = 0 to t = 4.

Q: Use careful and correct notation to solve these antiderivative problems. 1. Find the general…

A: Given Function :- fx=6x

Q: Q1: Eis: (k) (A) power series 1 Q2:The series Ek-1 (k+1) (A) divergent (B) converges to 1(C)…

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Q: When a sprinkler is set to full rotation, the water covers a circular section of garden with radius…

A: find the area of the garden that is covered by the sprinkler.

Q: SOLVE THE FOLLOWING WITH EXPLANATION NO EXPLANATION = DOWNVOTE lim xx+1 x-3

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Q: Let f(x) = 5 + 2x - x². Evaluate the difference quotient Simplify your answer. Difference Quotient…

A: Given query is to simplify diffrence quotient.

Q: Give a geometric description of the set of points in space whose coordinates satisfy the given pair…

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Q: As Claudia walks away from a 264-cm lamppost, the tip of her shadow moves twice as fast as she does.…

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Q: Use the Midpoint Rule with n Approximation= 2.5 [V -1.5 4 to approximate √x³ +19 dx.

A: The given integral is sqrt(x3+19), x from -1.5 to 2.5 and n=4.

Q: 3) Find the equation of the plane through the point (2,3,1) that is perpendicular to the line L:…

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Q: Q21: √8 ***** - (A)4) G (B) 40 (C) 4G) (D) 4) *****

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Q: Correct value for the expression? -10+(30+2^(3)+20-:5)-:2-1

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Q: Find the limit. l lim (x+3) X→-6* |x+61 x+6 O A. - 3 О в. з OC. 9 O D. The limit does not exist.

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Q: Give a geometric description of the set of points in space whose coordinates satisfy the given pair…

A: Given is y0 and z0 i.e.  Coordinate is (y0,z0 )

Q: Sequence 1: Sequence 2: 1, 1, 2, 2 4, 8, 16,... 4 25 8 16 125 625 1. Write out the expression for…

A: Please see the below picture for detailed solution.

Q: 10. Find the points of any absolute extrema off on the interval (-4,-1]. x³ + 8x² + 19x + 12 x + 4…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: To identify the coordinates of any local and absolute extreme points and inflection points. To graph…

Q: 20. 2c and 2b A) 2c>2b 21. b+c 2 and b+c. A) b+c> b+c 2 22. b+c and b-c A) b+c>b-c B) 2b>2c B) b+c>…

A: Since you have posted multiple subpart question and I can't answer more than three subpart as per…

Q: y =5x – 5 sin x, 0sxs2 dentify the coordinates of the absolute minimum points. Select the correct…

A: given function is    y = 5x -5sinx    where  0≤x≤2πthen we have to identify the coordinates of…

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A: To express the complex number z=-6-6j, in the polar form z=rcos θ+j sin θ, where -π&lt;θ≤π.

Q: Find the limit and determine if the function is continuous at the point being approached. lim cos…

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