6. PARTIAL DERIVATIVE OF MULTIVARIATE FUNCTIONS Find and for the following function. z* sin (y") + xe²* – cos(z²) = 3y – 6z + 8

Q: [ tam2 tam 2 sec 2 Bd ß

A: Given that: ∫5tan2β.etan2βsec22β.dβ

Q: Find y''' of: y=4cos(x/2)+3x^2

A:

Q: evaluate the indefinite integral / dx. Av7² – 4 xª/x² -

A:

Q: Find the centroid of the region bounded by the gi 1 y = 0, x = 1,x = 3 %3D %3D

A: Given:y=1/x ,y=0 ,x=1 and x=3 Find: the centroid of the region bounded by given curves.

Q: Calculate the derivative 33 4:6 dx using Part 2 of the Fundamental Theorem of Calculus. 33 dt = da

A:

Q: Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use s...

A:

Q: on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent va...

A: We are asked to find the  non homogeneous second order euqation.

Q: II. Solve for the derivatives implicitly. 42 y-2x = 2 +4y³. + 4y³. =1 5. 6.

A: We can differentiate the derivative implicitly as below

Q: 14.25 т/sec 16.25 m/sec

A:

Q: 3. /4(1-)esc (1-y)dy

A: We have to solve the integral

Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If C'(10) = 3...

A: suppose c(t) is the cost in thousands ot dollars ,ot producing t tons of white paperIf            C'...

Q: Consider the series > 5e". n=0 a. The general formula for the sum of the first n terms is Sn (5e( 1-...

A: This is a problem related to series calculation. Based on the simplified terms it was observed that ...

Q: Consider the function f(x) = -6x2 + 4x – 6. (a) Find all critical numbers c of f. c= (b) The local m...

A: topic - application of derivatives

Q: What is the measure of the focal width of the parabola y+2y+4x-3=0 ?

A:

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing...

A: We have to find area on Monday.

Q: Find the equation of the line tangent to the graph of f(x)= (In x)2 at x= 3. y%3D (Type your answer ...

A:

Q: 69x420

A: Given query is to perform indicated multiplication operation.

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

A:

Q: Let f(x)=2x2+12 and let r(x)=9x for x>0. Find a simplified formula for the composite function f(r(x)...

A:

Q: For the function f(x) = sec x, which of the following are not possible values of f(x)? Choose all an...

A: From the definition of secant function, the range of secant function, y = sec (x) is y∈(-∞,-1]∪[1,∞)...

Q: ()- 2y on [–10, 15]. Determine the absolute extrema of f (y) = sin

A: Here we have to find the absolute extrema.

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had decrease...

A:

Q: At time t = 1, a particle is located at position (x, y) = (4, 1). If it moves in the velocity field ...

A:

Q: x(x (x X),Xx

A: We are asked to evaluate the integral.

Q: Find thlength of the curve.  Y=1/6(x^2+4)^3/2, 0<x

A: We have to apply arc length formula to solve the problem

Q: Length of a Curve Find the length, L, of the curve given below. 6t4 – 1 dt, 2 < a < 3 2 L

A:

Q: х ах 2(5+x²)4

A:

Q: Consider the graph of f(x) given below. (a) Analyzing the graph, if g(x) = f(æ), then g(x) is increa...

A:

Q: P2.C: The integral below may be written in the form A cot x + Bx + C. Calculate (A + B)?. 7-6 sin? x...

A:

Q: Question Evaluate the following limit using L'Hospital's rule. lim 3 In (x) 15х — 15 Provide an exac...

A:

Q: Write the function g(x) (in blue) in terms of the function f(x) (in red). 2 -3 -2 6. -1 5.

A:

Q: Find the tangential and normal components of acceleration at the given time t for the plane curve r(...

A:

Q: Find the Taylor series expansion of f(x) = x – x³ at a = -2 Select the correct response: 6 – 11(x + ...

A:

Q: dy 9x using 5. Find the slope field of dx GeoGebra.

A: This is a problem of the slope filed plotting. In this given question dy/dx is representing slope of...

Q: A function F is an antiderivative of the function f on an interval I ifLfor all x e 1. (A) F(x) =f (...

A: A function F is an antiderivative of the function f on an interval I if 

Q: Determine the derivative of f(x) = 3 x² In x with respect to x. f'(x) = |

A: We have to find f'(x)

Q: Q4. (a) Evaluate the definite integrals: (i) ſ(2 – 5/1 – x² }tx_ (ii) [sin 2x cos 2x dx (iv) [": 'V1...

A:

Q: a) a fonction f (x)y) is homogeneous of degree 7 in X and y it and only it, 3 b.) The function f(xy)...

A: Given some homogeneous equations and we have to calculate the degree of those functions. Homogeneous...

Q: Given the set of information, find a linear equation f(x) satisfying the conditions, if possible. (I...

A:

Q: 24 Let 6n an 7 – 4n For the following answer blanks, decide whether the given sequence or series is ...

A:

Q: Let f be a differentiable function. If f(50) = 378 and f'(50) = 6, use a linear approximation to est...

A:

Q: Set up, but do not evaluate, an integral for the length of the curve. y = x - 3 In(x), 1< x < 4 4 dx

A: The given curve y=x-3 ln(x), 1≤x≤4

Q: 0.2 0.4 0.6 0.8 1.0 (sec) s (ft) 0. 0.5 1.5 4.0 6.4 9.6 (a) Find the average velocity over the inter...

A: Given that:                          

Q: se vectors to determine whether the triangle with vertices A = (1,–3,–2), = (6,–2, -5) is right-angl...

A: we know that if the dot product of two vectors is zero then the two vectors are perpendicular. there...

Q: Question 14 Which of the following is an equation of the parabola with the following properties: ver...

A:

Q: DIRECTION: Solve the given differential equation below with clear solution y" – 6y' + 15y = 2 sin 3t...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

Q: 4. The function f(x, y)= (x² +2y² )exp| . +8xy is homogenous in x and y of degree 5 The function f(x...

A:

Q: 27. y 2r(x + 2)² 29. y = x(r - 5)² 31. y = 4x(x + 5)* n= 27r - 2 26. y = x(x - 1)* 28. y = 3x'(x + 3...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/ or constant mul...

A: The given question can be solved as shown in step2.

Q: Which of the following is not true? (A) - |f(x) dx- J8 (x) dx B) 8 (x) dx C) (x)dx=k (D) O fas(3))dx...

A: some properties of the integration are given, we have to find the not true statement.