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Calculus Archive: Questions from July 01, 2022

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  Evaluate and show all necessary solutions. √√x-3x²-5x-7 √√√x5 1. f 2. S 3. S 4. e3m -3m +e S 5. S 1+cos √1-cosr e3m. -3m ∙e dx √x cos² √x (1+In²sec√x) dx : dm ² dr ds s² cos²
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• use the quotient rule to derive
  Utilice la regla del cociente para derivar Envie sus computos For the toolbar, press ALT+F10 (PC) or B I sen x + 1 cos x - 1 Blackboard. De no ent
  3 answers
• find the derivative
  Determine la derivada de f(x) = sen (2x) (3x² Envie sus computos a Blackboard. Si no For the toolbar, press AT10 6x) ²
  1 answer
• use the derivative definition , to determine the derivative of
  Use la definición de derivada f'(x) = lim 110 f(x) = √√7x + 2-5 Envie sus computos a Blackboard. De no For the toolbar, press ALT-F10/PC- B f(x+h)-f(x) h para determinar la derivada de
  1 answer
• find the derivate
  Determine la derivada de Enviar sus computos f (x) = a Plest 4x² + 2 5x 1
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  Find y' and y". y' = y" = y = e³ex e3ex. (3er) d dx 3e³e³ex [1+3e*] X Need Help? X Read It
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• a) determine dy/dx b)find the equation of the line tanget a to x=4 and write your answer in the form y= mx +b
  Dada la función (a) Determine 0 0 O (b) Encuentre la ecuación de la linea tangente a x = 4 y escriba su respuesta en la forma y=mx+b. O 1111-1 w m= R 1 -10 1 4 1 11 I 2 1 4 f (x) = dy dx ► para y=
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  If f(x) f'(x) = = 3x² tan x seca Find f'(5)=1 > find
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  Solve the given initial-value problem. y(x) = y" + y = x, y(0) = 8, y'(0) = 0
  3 answers
• Differential equation: Determine is the method of undertimened coefficients is aplicable. Answer yes or no
  Determine si el método de coeficientes indeterminados es aplicable. Conteste "si" o "no". y" + 4y' - 5y = x-² ex y" + 4y' - 5y = x²ex + 1 y" + 3y' + 2y = 4x² y" - 2y' - 3y = 4x −5+ 6xe²x 1 1+e-
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• please answer all 4 porfavor contestar las 4 preguntas
  Resuelva: Halle los puntos críticos de las funciones que se presentan a continuación y determine si es un máximo relativo, mínimo relativo o un punto de silla. 1. f(x,y) = 80x + 80y - x² - y² 2.
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• Evaluate the integral using the Fundamental Theorem of the Line Integral
  a) (3yi+3xj)-dr; C: curva suave desde (0,0) hasta (3,8) C: cos(x) sen cos(x) sen (y) dx+sen (x) cos (y) dy; curva suave desde (0, - ) hasta b) с (4) 2 2
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  Let f(x, y, z) = z²cos(xy). Find f(5, 7, -1). B)√2 C) 1 D) 1
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  Find when u = -5 and v= -3 if w(x, y, z) = xy², x = ₁, y = u + = xy², x = 4, y = u + v, and z = ut • v. Z dw du OA) 50 OB) 16 OC) 125 48 OD)
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  Question 22 (0.9 points) Use the Chain Rule or implicit differentiation to find the indicated derivative. y² cos x + x² sin y = 0. Find dy dx OA) 2²cos x + 2x sin y x² cosy-2y sinx B) ² sin x + 2
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  Find all critical numbers for y = 4x³ - 3x. 011/10 0 0-10 2
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  1. (3 points) Find a function f so that F(x, y) = ▼ ƒ(x, y), where F(x, y) = (2xy³, 3x²y² + y sin y). 2
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  Find all critical numbers for y = 4√x - x². A/
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• help with 6 pls !
  6. Find y' and y" of y = e-2x
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  2. (3 points) Find a function f so that F(x, y) = ▼ ƒ(x, y), where F(x, y) = (6x² - 2xy² + 2√5) 7 - (2x²y y
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  Solve the following initial value problems. 13. y" + y = cos x; y(0) = 1, y'(0) = -1
  3 answers
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  Find the range of y= Oplayl y0 Ⓒy
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• (5 points each) Differentiate the functions below: A.
  e²-e* 0 - y 4 (o' + ** ) * y' = = 1 " + " y' = -2 - o y = 0 O y' =-- - 2 2 + 2 4 - 4 +e -28 -2x
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  Find the gradient Vf(x, y) of the function f(zy)=sin(zy). O (y sin(ay), a sin(ay)) O (r sin (ry), y sin(ay)) O ( cos(ry), y cos(ay)) O y cos(xy) + x cos(ay) O (y cos(xy), ax cos(xy))
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  Find the first partial derivatives of the function. f(x, y, z) = xyz² + 3yz fx(x, y, z) = | fy(x, y, z) = fz(x, y, z) || Submit Answer
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  3. [9 Points] Consider the matrices: 0 -1 I +63 -E] [ A = B = 0 - 9 -7 2 7 a) If possible, compute AA. If not possible, explain why. b) If possible, compute 3B-C. If not possible, explain why. c) If p
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  Use polar coordinates to set up and evaluate the double integral f(x, y) = x + y, R: x2 + y2 ≤ 16, x ≥ 0, y ≥ 0 dr de= 1₁ f(x, y) dA.
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  Solve the IVP y" + 2y = 8(t− 3), y(0) = 0, y'(0) = 1
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• Evaluate the integrals
  f(cos x - sin x)² dx S dx 1-cos 2x sec² 3x tan 3x dx 1-cos 2x 1+cos 2x dx fe-tanx In secx dx Sesin 20 cos 20 de S dx 1+cos 3x Sesec w sec w tan w dw S in² (2) x 1-cos NIX dx S cos² 20 sin
  3 answers