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Q: calculate the required derivative using the chain rule. -1 Z=tan tan () » yorsinə u =Y Cose %3D az.?…
A: We use chain rule and quotient rule
Q: Compute the indicated derivative. U(t) = 5.3t2 + 5.3; U′(4) U′(4) =
A: Given: U(t)=5.3t2+5.3 Finding the derivative of the given equation : ddtU(t)=5.3ddt(t2)+ddt(5.3)…
Q: On (-∞, ∞), three functions y₁(x) = cos 2x, y2(x) = sin² x, y3(x) = cos²x are linearly independent…
A:
Q: : Prove thati Od tanx= sec>x 2. 3d secx= sec x tan x 2: find first derivative following Bi funCtion…
A: Prove that1. d(tan x)dx=sec2x2. d(cot x)dx=-csc2x3. d(sec x)dx=secx·tanx4. d(csc x)dx=-cotx·cscxSome…
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Q: Prove that Va2 + 4 sin ( sec %3D V2 +4
A: “Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Find the of Integ ration f(u)= tanu + Cos 2u. %3D
A: Given information is :
Q: Use Simpson's rule with n = 4 to approximate cos(x) dx 1
A:
Q: The maximum directional derivative of f(z,y,2) sin(zy)-ya +10 at (-1, 2, 0) is Question 5
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Q: What is the integral of question 23 and why is the answer 0?
A: Let f(t)= t^4*tan t/(2+cos t)
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Q: Find the diectional derivative of the function f (xiy,z)= sin (xy+2) at the point of P(1, al2 x4) a…
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Q: Calculate the directional derivative direction Q(5,4) 4 3√-3x²-5xy3 of at P (1,-2) in the
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Q: Q3. Show that дхду for дудх f = x² siny – 2y³ cos2x (
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Q: What is the largest value that the directional derivative of ƒ(x, y, z) = xyz can have at the point…
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Q: 3. Prove that the directional derivative of f(x, y) = y² + 2xy³ + x³y² at point (0.1) in the…
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Q: Compute the derivative of f(x) = ( sin(2x + 1))/°. 4 (sin(2x+ 3 1) -1/3 • cos (2x + 1) 4 -1/3…
A: Given
Q: Find the derivative of cos(3x) O -3sin(3x) O 3sin(3x) O 3cos(3x) O -3cos(3x)
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Q: a) Find the directional derivative of S = In(2x +3y) at point (-1,1) in the direction of 4i -3j b)…
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Q: Use the trapezoidal rule withn= 4 to approximate %3D cos(x) COS
A: Given: n=4 and ∫15cos(x)xdxwe know that trapezoidal rule for approximating ∫abf(x)dxis given…
Q: 5. Verify whether the function f(z) Cauchy-Riemann equations or not. sinh 4x cos 4y + i cosh 4x sin…
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Q: x'+y° Q4. If u = sin- sin-'( -), Show that x+y ди X- ди + y- = 2tanx (2 + ду
A: If u=sin-1x3+y3x+y, then show that x∂u∂x+y∂u∂y=2tanx.
Q: Construct a cubic spline that interpolates sin x at nodes 0, T/2, T, 37/2, 27 (use the true…
A: The given function is fx=sinx and the given node points are x=0,π2,π,3π2,2π. Therefore the given…
Q: 3. Prove that coshx – coshy = 2sinh () sinh ().
A: As per honor code we are entitled to solve only 1 question at a time so I am providing you the same.…
Q: Evaluate the integral. sin (3t + 17) dt cos (3t + 17) sin (3t + 17) dt = - 2, cos (3t + 17)
A: Consider the integral
Q: Sketch the graph of two functions g(x) = cos x and h(x) = on the same plane. Choose [a, b] that…
A: Given g(x)=cosx and h(x)=x/2
Q: Sketch the graph of two functions g(x) = cos x and h(x) : plane. Choose [a, b] that satisfied |b –…
A: Given function is g(x)=cosx and h(x)=x/2
Q: Show that ! fransform fix into It fn, linear "difference equation: equadion: SkH= +1. JKH
A:
Q: Use Simpson's rule with n = 6 to approximate cos(x) rp-
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Q: Assuming y cos (3xz) = 5 defines z as a function of x and y. Differentiate
A: we have to derivative
Q: Compute the derivative of g(x) = | 1 dt. 2 1+t5 2" 1+æ15 1+25z 2" In 2 1+æ15 1+25z 2" 1+a15 1+25z 2"…
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Q: Find Fourier transfarm f x #1= cos aut ut
A: Given the x(t)
Q: f(x) = 2x² cos(r®)
A: Given Data: Function: f(x) = 2x2 cos(x5) The product rule of differentiation is,
Q: 1. Find the directional derivative of the scalar function f = yzx^2 + 4xz^2 at the point P(1,-2,-1)…
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Q: Compute the derivative f'(x)given sin x 1 dt 1- 12 f(x) = cos x
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Q: у %3DIn(In sec x)
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Q: 16. r(0) = sec 0 tan 0 – 2eº -
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Q: 1, cosX, cos 2X,--- , cos mx
A:
Q: If we discuss the derivative of the function f(z) = z. Imz by Cauchy- Riemann equations. we see fz)…
A: Since you have asked multiple questions in a single request, we would be answering only the first…
Q: I* cos z lim 1³+2
A:
Q: Find the derivative of f(x) = 2x(sinx)cos(x) ? a. f(x)=sin2x+2xcos2x b. f(x)=2sin2x+2xcos2x c.…
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Q: Give one problem for partial differentiation of function of U with respect to 3 independent…
A: It is partial derivative problem
Q: Find the fourth derivative of f (z) = 57 + In (z) – 109z. Enclose arguments of functions in…
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Q: 1. Find the point(s) if any where f has a horizontal tangent line. у %3D УЗх + 2 cos x 0<x < 2п
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Q: Find at the point (5, -1,5) where z is defined implicitly by the equation y°z + x cos z = z sin x.
A: Differentiate both sides partially with respect to y
Q: 5. Find the slope of the graph of cos(x + y) = 2x at the point ( 0, n/2 ). Hint: Differentiate…
A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…
Q: when
A:
Q: Suppose that a particluar funciton f satisfies f" (x) = - (4 sin(x) + cos(x)), f(0) = 3, f'(0) = 5.…
A: f"(x) = -(4sinx +cosx) , f(0) = 3 , f'(0) =5 now integrate the f"(x) f'(x) =4cosx -4sinx +c now…
Q: Differentiate the following functions 4 1-cos2x Y = by chain rule. 1+cos2x
A: To differentiate the given function.
Q: the Prove function is analytic at z = 0. By calculating all the directional derivatives of the that…
A: The given function is ; f(z) = z¯2z,if z>00,if z=0 We have to show that the function f(z) is not…
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