x - 2 lim find lim 9 (x) + a. Let g (x) = t. 9 (x). lim find lim h (x)- 17 + 2x Let h (x) = b. x - 2x + 1' h (x)

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x2 + y2 + z2 (4,…

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Q: D. Find the area of the region bounded by the given curves. Breaking 1 NEWS x2 = 4y 3 y? = 4x %3D

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A: Given problem:- Find the values of constants a, b, and c so that the graph of y = ax3 + bx2 + cx has…

Q: Question 3 To solve the indefinite integral da we will use substitution method and let u = The…

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Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: To findL = limx→∞ln(x)x4

Q: Using the graph find:  f'(2) g'(2) d/dx [5f(x)+3g(x)] | x=2

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Q: For each item, find an equation of the plane with the given properties: (a) containing the points…

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Q: EXERCISE 1 Solve the following ODE from x = 0 to x = 1.0 using the Euler's method with the step size…

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Q: Evaluate the integral by interpreting it in terms of areas. (1 — х) dx -5

A: To evaluate the given integral ∫-52(1-x) dx

Q: Suppose that f is a function given as f(x) = 5x 1. Simplify the expression f(x + h). f(r + h) = f(x…

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A: Explained below

Q: Find the area of the paralielogram PQRS if V(PQ) = 3i– 2j and V(PS) = 3j + 4k.

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Q: b) Find the sum of the series 10" -1 Σ n =1 11"+1 The sum = c) Find the exact partial sum S, of the…

A: We know that in a geometric series, the sum of infinite terms = a1-r and the sum of first n terms =…

Q: 4. Evaluate y = sin¬1 (x) when x = 1 %3D O 37 2 -1

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Q: Activity 5: Find the following indefinite integrals. 1. Sdy 2. fx(8x? – 6 +) dx 3 6. S COSX dx sin?x…

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Q: 1 dz . =5.0 (2 – 3.0)*(z2 + 36)? Evaluate

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Q: -1 1

A: Given that cos(arcsin(-1))   we know that arcsin(-1) equal to π/2 or 3π/2

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Q: (a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 6, (1, 2, 3)…

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Q: The value C for the solution of the initial value problem f'(x) = x* – 8x + 4, given that f(0) = 0.…

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Q: One face of the semicircular fin shown in the figure will be painted blue, with a circular hole…

A: Given:  A quarter circular fin with a circular hole. AB = 120cm.  Thickness of paint = 2mm  = 0.2cm…

Q: Let f(x) За? — Зх — 1. - f(x + h) – f(x) - Expand and simplify: h

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Q: _2 .2 y = у — 2х* + 3x — 4х, у — х* Find the area of the region enclosed by the two equations. (make…

A: the region is bounded by y=2x3+3x2-4x, y=x2

Q: Find the derivative of the function y = (cos(x))" .

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Q: Which of the following is a solution to the equation 4 sin (x) - 2 = -4? 210 degrees and 330 degrees…

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Q: 8. Which of the following is the solution to the equation sin? x+ 3sin x - 4 = 0 0° 90° + 360k 90°…

A: Given query is to find the solution of the function.

Q: Suppose A is the matrix for T: R-R relative to the standard basis. Find the diagonal matrix A' for T…

A: We have to digonal matrix A`

Q: 1 dx 1+x3

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Q: 1. Which of the following is a solution to the equation sin (x) + 2 = 1? 270 degrees 180 degrees 60…

A: Given problem:- Which of the following is a solution to the equation sin (x) + 2 = 1? 270 degrees…

Q: x – 2 - Let g(x) x + 3 (a) Find the third degree Maclaurin polynomial of g- (b) Approximate g(0.2)…

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Q: etch y %3D csc @, 6 € [-2п,2п]. 4. 3. - -4

A: Given query is to sketch the graph of the function.

Q: 3x-9 dx gi S Vx3-9x-3

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Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z - 1 2x - 10y - 2z =…

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Q: Find the terms through degree 4 of the Maclaurin series of f. Use multiplication and substitution as…

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Q: Given that f(m) = a"h(x) h(- 1) = 4 h'(-1) = 7 Calculate f'(- 1).

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Q: . A-line perpendicular to the plane 3x-4y+z=1 passes through the point A(-1,3,2). Find the…

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Q: Find the derivative of the function Y = r5z

A: Given query is to find the derivative of the function.

Q: Press Es 5. What is the amplitude of the graph below? 4+ -5+ -7- -8+ 4

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Q: - 1)°dx X

A: To evaluate the given integral.

Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

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Q: Use any method to evaluate the integral. 3 x*dx 2 Vx + 25 3 x*dx S- 2 Vx +25

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Q: find the domain of the following equation: f(x) = 4 Vx2 – 4

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Q: Let f(x) = cx3.4 and suppose that f(6) = 48. Find the value of c. (Round your answer to two decimal…

A: Given query is to find the value of c.

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: ∫ dx/(1-x2)sin-x lets substitute u = sin-x du/dx =1/(1-x2) du = dx/(1-x2)  ∫ du/u = lnu + C put u =…

Q: Find the area between the following curves: x = y +1 and x = y² – 1

A: topic - area bounded by curves

Q: For each sign chart for f'. Carefully sketch the graph of both functions f and f'. Upload your work…

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Q: 1. The sum of two positive numbers is 10. Find these numbers if the sum of their squares is a…

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Q: 25. Let OP be the position representation of vector A, 0Q be the position representation of vector…

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