Write the interval of continuity for the function below: tan(sin(x)) log3 (7) f(x)= = for 0 < 2T

Q: x/4 11. evaluate sec(x) dx . Give 3 decimal places for your answer. If your answer is below 1, use a…

A: ∫0π4secxdx

Q: 13. f(x)2(x-4Xx+3y³ a. b. C. lim x-2+ f(x) = f(x) =

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: x³+4x²+x-6 3 sin(-x)+3x² et f be the function defined at f(x)

A: Function

Q: 5. K A decreasing function g satisfies g(4) = 6 and g'(4) = -2. Which of the following statements…

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Q: Evaluate the integral: ³√1 + 100x² da

A: Need to find out the integration.

Q: USE HOMOGENEOUS LINEAR HIGHER ORDER DE 4. y(4) + 50y(²) + 625y = 0 ANSWER: 4. y = (C₁ + C₂x) cos 5x…

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Q: 4. Solve for b in: 1 4 2 15 5b 3b

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Q: A- Find (1) asymptotes for the following functions: x²-1 x²+2 (2) x³+x²-x-3 x²-1 x²-4 (1) f(x) =…

A: Note: Since, the student has posted four sub-parts with numbering (1) and (2). We are considering…

Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

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Q: Label the zeros and asymptotes. Graph each function. Answer each limit question. 11.…

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Q: Find the Domain and Range for y= 1 1-√5-x

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: ६(६+६) : (11-2+21) 2 (5+276 : (7 (622) 7) *b - (b) 4 (+) दहिका xb SEX K xb

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Q: Let f(x) = = Jmx - - 6 X x² + 10x - 2 if x < - 4 if x ≥ 4 If f(x) is a function which is continuous…

A: Find the value of m

Q: 3. Check that each given function is the solution to the initial value problem. y(0) = 1, y'(0) = 2,…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 30. F(x) = [sin(t²)dt . Find F '(1).

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Q: 2. Describe how the graph of y = 2ƒ (²x) — 3can be produced from the graph of y = f(x). List all

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Q: If f(x) dx = 3 and 5 f¹ f(x) dx = 25, then f f(x) dx = A)-2 B)1 C)-1 E) 8 D) 2

A: Given: ∫3-1f(x)dx=3 and 5∫31f(x)dx=25To Find: ∫-11f(x)dx

Q: Let f(x)=x²- 2x + 4. g(x)=1/x², mine the following functions. 31. f(g(x)) 33. g(h(x)) 35. f(h(x))…

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

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Q: 14. Which of the following statements is true? The volume of the solid formed by rotating the region…

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Q: Simplify tanx (cscx sinx). A B D 0 1 sinx COSX

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Q: Solve the system below. Parameterize the solution set. x - 5y + 2z 5y + X 9z 4z - - - 3w 24w 12w - -…

A: The given system of equations, x-5y+2z-3w-u=0x-5y+9z-24w-3u=-14z-12w-u=-1

Q: 6 y² +9' represents the volume of the solid of revolution formed by rotating Q about the x-axis?…

A: Here we have to choose the correct option.

Q: Find the x-value at which f is discontinuous and determine whether f is continuous from the right,…

A: Here we have to find the value of x for which f is discontinuous and determine whether f is…

Q: Solve ydx + (dy - 3dx)√(1-x²) = 0

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Q: 17. For an object whose velocity, in ft/sec is given by v(t) = 2sin(t), what is its distance, in…

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Q: Consider the matrix equation Ax-0 for the following. + --•-8 A- -1 Find the reduced row-echelon…

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Q: 25. lim h→0 (x+h)² +4(x+h) —x²− 4 at h (A) x³ + x4 (B) x² + 4x (C) 2x+4 (D) nonexistent

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Q: 6. The value of a new speed boat depreciates at a rate of 7% per year. If the boat was bought for…

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Q: The side of a cube is 11 m with a possible error of 0.02 m. Use differentials to approximate the…

A: Given that the side of the cube is s=11 m with possible error =0.02 mSolution :volume of the cube…

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: Greens theorem

Q: If f(x) = (cos(√) - In (x²))³, then f'(x) = 3

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Q: Question 22 of 25 If f'(x)=+5 where f(1) =0, then f(3) = A)-12 B) 12

A: Solve the given function

Q: 1, if possible, A+ B, A −8, 24, 24-8, and 8+4. (If not possible, enter IMPOSSIBLE in any single cell…

A: To find matrix.

Q: What is the sumation form of the maclaurin series for 1/x*sin(x)? Hint: First find the first few…

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Q: wn is bounded by the line y = − 5x + 4, - -axis and the y-axis. y X

A: we will find the area.

Q: 1. f(x) = (x (x+1 if x ≤ 0 if x>0

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Q: Evaluate the integral|5x-1| dr. Answer:

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Q: What is the best substitution to make to evaluate S O u = 3x Ou = e³x u=1+e³x Ou = e-3x e³x 1+e³x dx…

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Q: Define R as the region that is bounded by the graph of the function f(x) = 1-2, the z-axis, a = -1,…

A: Given problem:- Define R as the region that is bounded by the graph of the function ⇒fx=1-x22the…

Q: Prove that for all a, b = R, the function f(x) = 3x² - 4x³ + 6x² + ax + b has exactly one point…

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Q: List the x-values where the function is not continuous: f(x) = -x+ 3 if ex if if 3 – x x < - 3…

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Q: Define R as the region bounded by the graphs of f(x) = 3√x and g(x) = over the interval [1, 3].…

A: Given thatRegion bounded by y=x28 , y=3xx=1 and x=3Using cylindrical shell mathod…

Q: Which differential equation follows the form y'+p(x)y=q(x)? A (В E dy dx dy 4-+y=6x dx - 3xy=4y² dx…

A: I am attaching image so that you understand each and every step.

Q: In(√3) e dx 1+e²x A) tan-¹(3)-tan-¹(e) C) tan-¹(√3) E)-tan-¹(e)

A: Given integral: I=∫1ln3exdx1+e2x   Let, u=ex Then, dudx=ex So, exdx=du Now, the lower limit becomes:…

Q: Consider the function f: R²R given by f(x, y) = ³ + ² + 2xy + y2-y. Find and classify all stationary…

A: Here is the solution:

Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: y(x) = c₁e* + c₂e-x + 4sin(x)

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Q: Determine the equation of the hypotenuse of the triangle using the given coordinate system…

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