sin Vx dx

Q: Calculate the gradient. 5x g(x, y) = x² + y? (Use symbolic notation and fractions where needed. Give...

A: first calculate the gradient for partial differentiation.

Q: 1. Find and classify the critical points of f (x, y) = 6xy – 4x³ – 3y?

A: Critical points of f will occur: fx and fy is o. Given equation is f(x,y) = 6xy-4x3-3y2 Differentiat...

Q: Given f(2, y, z) =v V-I - 2y + z, find f.(z, y, z) = f(z, y, z) = f(1, y, z) =

A: We will use definition of differentiation. First we will handle derivative of the root of the functi...

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: 2. Find normal line to zero level surface of: f(x,y, z) = exy, Po(2,5) %3D

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Q: Given the polar function = f(0)=0² –1, find the exact arc-length of this polar curve on the r = inte...

A: NOTE: Refresh your page if you can't see any equations. . take derivative . the given interval ...

Q: If a series E lan| converges then an may be divergent or may be convergent. True False

A: If a series ∑an converges then ∑an may be convergent or may be divergent.

Q: f(x)= a+b Lnf (x)= Lna + Lnb df (x) da db f (x) Af (x) _ Aa f (x) + а a nd another ways to obtain er...

A: there are lots of other ways are available for finding out the error of the function. One of the way...

Q: Supose z is implicitly defined by the eq qy+ 3x*+ XyZ + 3Z=9 in an emvoment of the point P(0,3) in w...

A: In this question we will use basic of vector calculus i.e concept of directional derivative. We will...

Q: - Reduce the Tricomi equation + x- =D0 to its canonical forms (the first and the second) in the regi...

A: Answer is mentioned below

Q: 4.3 Compute the eigenspaces of а. A:= b. -2 2]

A: First we find eigen values then we find eigen space. 

Q: Q: For any two complex numbers z, and zą, prove that 2 2

A:

Q: Suppose f(x) = e**+5x+7. Find the df derivative dx f'(x) =

A: We have to find

Q: Evaluate the definite integral. e !/x5 dx 1 to

A: We have to solve integration by put  1/x⁵ = t 

Q: 5(2) if z>-3 2 - 4 if 1s-3 S (z) = 5(2) if z> -3 Prove from first principles (i.e.an e – ổ proof) th...

A: If a function is discontinous at a point, then it cannot be differentiable at that point. And in suc...

Q: 4. Determine the coefficients a, b, c, d that will make the curve y = ax³ + bx2 + cx + d passes thro...

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Q: Suppose that the number of bacteria in a culture at time t is given by N = 4000( 34 + te (a) Find th...

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Q: A balloon leaves the ground 500 feet away from an observer and rises vertically at the rate of 140 f...

A: Given that

Q: Sy+1-2 dy, can be evaluated conveniently if we let y+1-2=t and dy = 4r(r +2)dt.

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Q: r+ sin r 46. lim 00 2r +7– 5 sin r r→8

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Q: Disposable income is the amount available for spending and saving after taxes have been paid and is ...

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Q: 286 divided by three

A: Given $286 divided by three

Q: Find all angles, 0° < 0 < 360°, that solve the following equation. sin = –1

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Q: dx Evaluate ) TVx2 +5x-3

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Q: Evaluate the giuen definite I ntegrel (Type an integer oR Simplified fraction Please explain the Ste...

A: As we know that ∫xmdx=xm+1m+1

Q: Assuming P≥0,, suppose that a population develops according to the logistic equation dP/dt=0.06P−0.0...

A: Given. We are given the rate of change of population of any species with respect to time and it is a...

Q: Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in...

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Q: Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one nu...

A: use trignomteric identity for findin the value.

Q: Vx? +64dx sec ede tan e

A:

Q: Instructions: solves inverse function with it's domain and range 1. f(x)= (x-3)2 + 7 2. f(x)=3-(x-5)...

A: Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to...

Q: A function f(x) and interval [a, b) are given. Check if the Mean Value Theorem can be applied to f o...

A: Check differentiability and continuity and use mean value theorem 

Q: Consider the following differential equation to be solved by the method of undetermined coefficients...

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Q: 2. Is the following statement TRUE or FALSE? Explain. The Intermediate Value Theorem tells us that f...

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Q: 3) a) If n(A) = 8, n(B) = 12 and n(An B) = 3, determine n(A U B). %3D b) If n(P) = 51, n(Q) = 17 and...

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Q: (х-4y-9) dx +(4x +у-2) dy %3D0

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Q: Evaluate f 4-V2x+1 dx 1-2x

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Q: Given f(r, y) 3z - 4ry 6y, find f-(1, y) = fu(z, y) =

A: Given f(x,y)=-3x3-4xy3-6y5

Q: What is the rate of change of f(x,y)=5xy+y^(2) at the point (4,2) in the direction v=2i−2j fv=? Note...

A: use gradient while  solving for maximum rate.

Q: (v – cos "x)dx + cos x dy = 0

A: The given differential equation is: (y-cos2x)dx+cos x dy=0 Rewrite the equation as: (y-cos2x)cos x+d...

Q: 3) f(x) = 2(x + 2)3 – 2 10 21 10 -8 -6 -4 -2 2 4 -2 6 8 10 -4 -6 -8 -10 4.

A: We have to construct the transformation from the parent function.   NOTE :: As per our guidelines we...

Q: Find all angles, os0<360, that satisfy the equation below, to the nearest 1oth of a degree. 4 cos(0)...

A: See below the answer

Q: Verify the identity. sec(x) sec(x) – tan(x) -= sec(x) (sec(x) + tan(x)) sec(x) + tan(x) sec(x) sec(x...

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Q: Suppose g(x) = = A, and f' (1) = B. Find the derivative In(In(In(f(x)))), %3D f(1) = dg dx \x=1 gʻ(1...

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Q: 2. Find the maximum and minimum points and point of inflection of y = x+ - 24x2 + 75.

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Q: Given the following unit circle, rotate green dot to the appropriate angle and then find the exact v...

A: To find:- Exact value of sin(240°)  We use trigonometry table values  Sin(60°) = √3/2

Q: Maximize z = 4x + 5y %3D 3x + 7y < 49 4x + 3y 40 Subject to 0. 0. Maximum is at Y = Question Help: V...

A: Given that:                        z=4x+5y3x+7y≤49        .......(1)4x+3y≤40         ......(2)x≥0y≥0

Q: Find 4ery 4e zy( 4ry-1) Question Help: OVideo

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Q: Calculate the value of the limit lim(x,y)→(0,0) 22xy/x^2+y^2 as we approach (0,0) along the path γ(t...

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Q: Exercise 2.7 (Reverse Fatou's Lemma). If {fn}nEN İs a sequence of nonnegative meas- urable functions...

A: Answer is mentioned below

Q: After t seconds, the electric charge A of a circuit decays according to the formula A = A,e where Ao...

A: Given A=A0e-td Where, A0= Initial charge and d=Real constant   A0= Initial charge=10 units Charge at...