Write S_²ƒ (x) dx + Söƒ (x) dx - f (x) dx as a single integral in the form Sof(x) dx.

Q: 3)- If f(x) = 2x - 2 then f(-3)= and f(1) =

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Q: 07 * Exercise 5: If f(x) = e³x g(x), find f'(1) when g(1) = -2 and g'(1) = 4. -40.18 30.54 19.63…

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Q: Limits and Continuity of Functions of a Single Variable). ne if the function f below is continuous…

A: We  will find the required.

Q: Find the surface area of revolution about the x-axis of y = 6 sin(6x) over the interval 0 ≤ x ≤ K6 π

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Q: Find a simplified expression for the perimeter of this shape. Not drawn to scale O a. O b. O c. O d.…

A: The given shape has the dimensions of length 33+45 and breadth 25-7. We have to find the perimeter…

Q: lim Δx - 0 COS(π+Δx)+1 Δε

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Q: Example. Determine whether the following series converge or diverge 80 1 Σ(-1)k+1. √k² + k k=1

A: ∑k=1∞-1k+11k2+k

Q: Use the midpoint of each subinterval for the value of each ck to find the Riemann sum S5 for the…

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Q: An insurer estimates the value V of a certain property, expressed in multiples of € 100 000, as a…

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Q: Find r "() if r(t)= t³i-2t²j+tk.

A: Given a vector function r(t)

Q: General Instruction: Find the derivative (y') of the following problem. Simplify and box your final…

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Q: QUESTION 9 Solve the following first-order differential equations using an appropriate method: dy 3…

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Q: 11. Let f(x) = I. lim f(x) x-1 (A) I only x-1 4 if x # 1 if x = 1 , which of the following…

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Q: f(6.27, 2.21) Make sure your answer is accurate to at least three decimal places, or give an exact…

A: we will find the required.

Q: Problem 2. Introduce the following methods and evaluate the following int (1- - e-*)dx (a)…

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Q: 161. f(x)=x²+2x+1 g(x)=-x-5 Find (f+g)(x). 162. h(n)=-3n-3 k(n)=n²+5 Find (k-h)(n).

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Q: Ix-21 Q8: To evaluate dx, we substitute

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Q: lim 0+x √4-2 sin x-2

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Q: Calculus homework Find derivatives y'= f'(x) ( (1) y = (2x + x³)²

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

Q: Find the particular solution of 5 +9d-2y=3e* given that when x = 0, y = dx2 dx 4 Ans.: y = 5 44 e-²x…

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Q: Definition of variables: CSTR Model Q(t) = the amount of the quantity of salt dissolved in the…

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Q: 4) Generate the solution of the DE 24 cx2 + 649 = sin(4x)

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Q: Find the differential equation such that y(x) = (x − 1) [c_sin (ln(x+1)) +c₂cos(ln(x+1))] d²y dy dx2…

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Q: (2) x²+x+y² =2023

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Q: calculus Find derivatives y'= f'(x) of the following functions y = f(x) (1) y = = (2x + x³)²

A: Given,            y=2x+x34To find : Find the derivatives y'=f'x.

Q: Identify the correct parametric equations for the line segment which joining the points (-1, 3, 5)…

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Q: 32. Y"(t) + 4Y(t) = 9t, Y(0) 0, Y'(0) = 7. Ans. Y(t) = 3t+2 sin 2t

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

Q: Suppose that R is the finite region bounded by y = x, y = x +4, x = 0, and x = 1. Find the exact…

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Q: 9. Consider the function f(x) = 2x³ - 3x² - 36x +5. a. Find all (relative) extrema of f. b. Which of…

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Q: Write an equation of a sphere with center (0, 8, 0), and with the sphere tangent to the plane with…

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Q: Let C be the curve y = 4√√x for 2.8 ≤ x ≤ 4.3. 8 7 6 5 4 3 2 1 2 3 Find the surface area of…

A: Given: y=4x , 2.8≤x≤4.3 To find: Surface area of revolution about the x-axis.

Q: Find d²y/dx² if y = =x cos(3x) — sin²(x). -

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Q: 3. The demand function for a certain product is given by q = 20 - 2p where p denotes the unit price…

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Q: Find lim X X1 X-1

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: For the function f(x) = 5x + 5, evaluate and simplify. f(x+h)-f(x) h =

A: given  f(x)=5x+5for f(x+h)  put x=x+h in f(x)

Q: What number exceeds its square by the maximum amount?

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 11. Sketch the graph of the following functions: a. f:y= b. f: y = 1

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Q: Exer. 27-32: (a) Use f' to prove that f has an inverse function. (b) Find the slope of the tangent…

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Q: Solve the given differential equation. The form of yp is given. D²y-2Dy-8y=64 (Let yp = A.) Choose…

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Q: Using Laplace transform Find the y(t) if y(s) = In (s² - 4)

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Givin f(x, y) = ez¹+8zy then the partial derivatives (31²)ez¹+8ry² ○ (3x² +8y7)e²²+8zy² □ (3x³…

A: Given fx, y=ex3+8xy7, then to determine the partial derivative ∂f∂x.

Q: a plane through the points (1,8,-8), (-5,7,1), (1,-3,-6) = +12y + z = -335 X

A: We will find the required equation of plane.

Q: Which points on the graph y = 4 - x² are closest to the point (0, 2)?

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Q: Given G(x, y) = 6y²(e(²) +e (¹)), where and y are found to be In 3 and 3 with maximum possible…

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Q: t (hours) 0 1 5 8 10 G(t) (thousands of gallons) 22 18.5 19.5 22 24 A gasoline storage tank is…

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Q: (D)in (√2-1) -Q3: fx cos x dx == (A)x sin x – co$ x +c (B)xcosx = sinx+c (C)xcosx+sinx+c (D)xsản x +…

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Q: If f(x) = ³√x and g(x)=x² +11, simplify the expressions (fog)(4), (f o f)(27), (g o f)(x), an…

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Q: A catered event  for 75 guests is booked.  The cost of the party is $3650.  They receive a 5 1/2%…

A: Let's find discount amount.

Q: (b) Find the general solution of the inhomogeneous second-order linear ODE 2y" - 5y3y = 10 sin x.

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Q: Use a software program or a graphing utility with matrix capabilities to find the determinant of the…

A: 971-20-105140947-3127-9824-204