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Q: √x²+25 - dx= x X=5secØ and Ø = sec الخيار رقم 1 0 X=5tan and Ø = tan-¹) X=5sinØ and Ø = sin ||| خيار…

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Q: I understand that the derivative of cosx is -sinx, but I need to show the work using trig…

A: We have to find the derivative of cos(x) by using definition of derivative by limit.

Q: Suppose z is implicitly defined as a function of x and y by the equation cy z3 – xevz + y sin rz =…

A:

Q: 5. (S.10). By using the second divided difference find f [1, 1.2, 1.4] for f (x) = e-a*; 6. (S.15).…

A: Since you have asked multiple question, we will solve the first question (5) for you. If you want…

Q: If sin\theta =-(1)/(2) and 3\pi <\theta <(7\pi )/(2), then

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Q: The second derivative , for the function 7y+ 13z 3a2 is O y = 9

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

Q: The function z is defined by z(x, y) = x y-3 y Find A z and dz when x= 3, y= 5, Ax = - 0.04 and A y…

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Q: Differentiate the following function to review unit two. a. b. C. d. 11 11 y = ²+1 4 - 3t² + 2 F(x)…

A: y=t2+1t4−3t2+2Take derivative.y′=ddt(t2+1t4−3t2+2)Use the quotient rule for the derivative:…

Q: 8. What is the period for this relation y = cos(4x)

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Q: Sketch a graph of a function f with the following properties. f' 0, for -70 and f''>0, for -50 and…

A: f'&lt;0 and f''&lt;0 for x&lt;-7 f'&lt;0 and f''&gt;0 for -7&lt;x&lt;-5 f'&gt;0 and f''&gt;0 for…

Q: 2, f'(4)=2, f'(4)= -1 se correct graph below. OB. Oc. OD. Ay Ay Ay (4, 2) (4,2 (4,2) (4, 2)

A: Solve by using first derivative and second derivative

Q: Consider the three points (2, 4), (4, 6), and (-2,7). (a) Supposed that at (2,4), we know that f₂z =…

A: Let us consider the given function f(x,y) and (a,b) is critical point then fx=fy=0. Determine…

Q: ☺ Find the equation ģ the Lime that is tampent to the curve of fad= (4-32)1 at x =l (Ges fa) =…

A: Find the eqn of tangent to the given curve at x=1

Q: Let P(s) be the function - 1. Find the following: | s+1 P(7) = %3D P(- 9) = %3D P() - %3D 8. In each…

A: Since, you have posted question with multiparts. As per guidelines we"ll solve only first three…

Q: Q.5: Derive reduction formula of f cot"x dx. Also prove that -cot*x cot2x S cotx dx = + InSinx + C.…

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Q: 7. Differentiate the following function to review unit two. a. b. C. y' = y' = y = t² + 1 4 - 3t² +…

A: a) y=(t2 + 1 )/(t4-3t2 +2)b)F(y)=(1/y2 - 7/y4 )(y+ 5y3)c)y=sec(theta)tan(theta)According to Bartley…

Q: Use Cauchy-Riemann equatrens to determine if the are analytie. @fers = c ²² fcz) = ex (cosy + (Sony)…

A: The given functions a) fz=i zz b) fz=excosy+i siny. Using the Cauchy-Riemann equations to determine…

Q: Find extrenhum of one of the following function 1. 2(a, y) = sin2(x- 0.5) + artg (y- 0.5) rE (-1,1],…

A: Let us find the Extremum of the given function in the next steps.

Q: dz dz and ду Suppose z is a function of r and y, and tan Vy? + x2 = z"e6y. Solve for

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Q: Find the range of y =cos4x - 1. 1 sys 2 1 2 -5 sys3 3 3 sys 2 2 1 <ys 1

A: The graph is shown below:

Q: Q4/B/ By using inplicit differentiation find dy/dx for y=x+ cos.xy

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Q: 2. Use the following graphs to insert between the quantities in the boxes to form true statements.…

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Q: + 7 Find fix) if f"(x) = Nx+1. and f"C0) =1, fcO)=-1, fc0) =7. O cheet metal is to

A: Let's find.