1 4. f(x) = √√1-x²

Q: If f(x) = -1/2 then f(³)(x) = , A O 2 2:3 O O 6 2 ການ 6 x4

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Q: sec5 (sin ¹(7x)) √1 - 49x² dx

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Q: Find the solution of the given ODE. (6x² - 7y2) dx - 14xydy = 0 2x³ - 7xy² = C 3x² - 14xy² = C O…

A: Given problem:- Find the solution of the given ODE.   (6x2 - 7y2) dx - 14xydy = 0

Q: Q:4) Use Green theorem and evaluate the line integral ${Mdx + Ndy} Where M(x,y)=y², N(x,y)=x², C is…

A: See the details solution in below

Q: Find the rule that describes the piecewise-defined function. (Type an exact answer, using radicals…

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Q: The differential equation y"(1-x)+xy'=y is linear homogeneous O non linear homogeneous linear…

A: We have to choose correct option

Q: Question 14 If z= f(t); u = g(x); x = h(z), which of the following is/are correct? du du dr dz (a)…

A: To find out the correct option.

Q: Higher Partial Derivative d'u ôxôxôy 4. _x³y² u 2 yz

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Q: Solve the differential equation. 3. (6x + y^2) dx + y (2x – 3y) dy = 0

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Q: Let f be a function of a. Which of the following is/are always true? (a) If f is differentiable at…

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Q: The half-life of chemical substance is approximately 9 years. Initially there is 80 grams of the…

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Q: Solve for y + In lyl at x=6: y'=(yx^2 - y)/(y+1); y(3) = -1 4.5

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Q: An open box of maximum volume is made from a square piece of material 24 centimeters on a side by…

A: The volume of a cuboid=length×width×height

Q: Complete the following. (a) The graph of y = g(x) is shown. Draw the graph of y=2g(x−1).

A: We need to draw graph.

Q: x f(x) f'(x) x g(x) g'(x) 1 3 4 1 2 6 2 5 2 8 7 3 7 7 3 9 2 4 -1 4 5 -3 Using the tables, evaluate…

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Q: Q1: Solve the following differential equation: 2x² y ; y(1) = 2π y+cos y

A: Explanation of the answer is as follows

Q: (b) The graph of y-g(x) is shown. Draw the graph of y=-g(x).

A: we have the graph of F(x) vs x when we put -x in place of x the graph will be mirror across Y- axis…

Q: 1. Determine the value of each of the following limits if they exist. 1²-21-8 +¹ -1 X 3a) lim- b)…

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Q: Solve the differential equation. 2. (y^2-2xy + 6x) dx – (x^2 – 2xy + 2) dy = 0

A: To solve the given diffrential equation.y2-2xy+6x dx-x2-2xy+2 dy=0

Q: If 1 x+y True False = 1+ y, then dy || 1

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Q: f(x) = 5x + 2

A: Given.

Q: nin 3.- Make a diagram and calculate the distance from point 0(0, 0, 0) à line r4y2z =8 o punto Make…

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Q: A depositor currently has $6000 and plans to invest it in an account that accrues interest…

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Q: да Given zTan¯¹ (x + y) — ln [1 + (x + y)²] = 5%, what is ду -1 2-2x-2y none of the choices 2- 2x +…

A: ∂∂xtan-1x=11+x2 Note : As per our Guidelines , we can solve first question. Please repost remaining…

Q: • Example: f(x, y, z) = x³ + 3xy + 3xz+y³ + 3yz + z³ • Find the stationary points • Classify the…

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Q: The height of each rectangle is given by the value of the function, f(x) = 5x − x2, at the…

A: Explained below

Q: 02:- a. b. Let u=x²-2xy + 2y³ with x = s² lnt and y = 2st³. Find ou/Os and du/ît. find the total…

A: In this question, we want to find the partial derivatives and total derivatives of the given…

Q: Determine dy/dx, if the curve is described by the equation 4y^3-5x^2y=4x^2

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Q: Evaluate 17 5

A: To evaluate: 175  We know that nr = n!r!n-r!

Q: H Suppose that f(5)= 1, f'(5) = 3, g(5) = -5, and g'(5) = 2. Find the following values. (a) (fg)'(5)…

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Q: Solve the differential equation. 13. ( sin θ – 2r cos^2 θ) dr + r cos θ ( 2r sin θ + 1) dθ = 0

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Q: If f'(a)=, what is the slope of the line tangent to the graph of y = f(x) at the point (a, f(a))? O…

A: Given: the curve, y=fx.f'a=12

Q: The equations x+y=6 and y=- -10-9 -8-7-6 -5 -4 -3 -2-10 -10 Determine the solution (s) to the system…

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Q: Question 12 If A is the area of a variable square with side s, what is the rate of change of A with…

A: Solution ) area of variable square A = s2  Differentiate with respect to s  dA/ds = 2s [ formula…

Q: 138) How many degrees is Zf+ <h? A) 360° B) 180° C) 90° D) 45°

A: As per our guidelines we can solve only one problem. So please repost the other questions again.…

Q: -2 xs-1 @ Consider the function f(x)=x² -1<x<1 Ⓡ 2x-1 x21 Ⓒ a. Sketch f(x). b. Evaluate f(x) for x =…

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Q: Graph one cycle of the following trigonometric function: y = 3 cos (2x + 180°) + 3 360 270 -180° -90…

A: y=cos x

Q: Two students created code words to pass secret messages to each other. The following phrases were…

A: The first and third phrase has Batman and Robin as common terms. And, the coded phrase which are…

Q: Find the mass of the thin bar with the given density function. - 3x p(x) = 4 e ; for 0≤x≤2 Set up…

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is  so the lower…

Q: f(x) = (1 + ln x) ³ 3

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Q: Determine the maximum and minimum value of the function f(x) = 3x3* - 1. O No max and min of -2 No…

A: This question can be solved using the concept of maxima and minima.

Q: > Question 6 Let u and v be functions of and let u' and v' denote the derivatives of u ar (a) Dz…

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Q: Determine whether the series converges. Σk³ e-k4 k=1 The series >

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Q: The curvature x(s) of C is defined as the magnitude of the rate of change of the unit tangent with…

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Q: If y = (1+x)8 (x + 1)7 True False then dy dr

A: We can solve this as follows:

Q: Find the general solution of the given ODE * dy x+2y-3 dx 2x+y−3 (x+y)³ = C(x + y − 2) Option 1…

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Q: Evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming.…

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Q: For the function f(x) = 3x − 5 ln x determine a) Domain of f, b) Critical points of f, c) Intervals…

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Q: Answer the questions below about the quadratic function. g(x)= -3x2 -12x -13 Does the function…

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Q: Determine the equation of the line that is tangent to y = 2 tan x, where x = 4. O-4x + y - (2-) = 0…

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