1. Find the Critical values. for f(x) = x² + 4x³+4x²

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A: Given fx, y, z=4x2+3y2+2z2

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A: Solve the given

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A: Given - First 100 natural or counting numbers,  I.e.   n=. 1,2,3,4,5.......100. Required- Sum of…

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Q: A constant force of 50 lb is applied at an angle of 48° to pull a handcart 41 ft across the ground.…

A: Force, F= 50 lb  Angle with base = 48°  Displacement = 41 feet

Q: Find Vectors and Perform Vector Operations in R³ Let a = (0, – 5, 5) and 6 = (4, 2, — 5). Find – 2ā…

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Q: e think of In(-3x + 7) as In(u), then u is a differentiable function of x and u = tionally, if we…

A: Topic:- application of derivatives

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Q: Show that the triangle with vertices A, B, and C is a right triangle. d(A, B)2 = 145 d(A, C)² + d(B,…

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Q: (a) f(x) = 2x³ - 3x²-12x+1 on [-2,3]

A: As per our guidelines we are allowed to solve only one complete question. Kindly repost others.…

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Q: 42. The term that does not contain x in the expansion of 8x +

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Q: M3.2. d. A cadet engineer determines that when x hundreds of units of a particular commodity are…

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Q: The total spent on research and development by the federal government in the United States during…

A: Total spent on research S(t)=3.1ln(t)+22 billion dollars Total spent on in 2012    t= 12

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Q: Provide the definition of matrix equivalence and explain the relationship of this notion to matrir…

A: To give the definition of matrix equivalence.   T:V→W

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Q: Find Distance and Equations in R³ Find the center and radius of the sphere with equation (x − 1)² +…

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Q: A farmer has 100 feet of fence with which he plans to enclose a rectangular pen along one side of…

A: Given query is to find the dimenyfor maximum area.

Q: Question 6 Determine the derivative of - sec z cosz-sin r sec" tan z sec² z 1-sin z sec² z O cos²x -…

A: Take y= Sin(x)/Sec(x)

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Q: Find the Laplace transform of the function. -t f(1) = 1²e-¹ A B C 24 s5-1 There is no correct answer…

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Q: Find the following using the table below. x 1 f(x) 3 f'(x) 2 2 3 4 2 4 1 4 1 3 g(x) 4 3 1 2 g'(x) 2…

A: Given that hx=fx.gxh'x=f'x.gx+fx.g'xh'2=f'2.g2+f2.g'2h'2=4×3+2×3h'2=12+6h'2=18

Q: 5 Find the center and radius of the circle. Write the standard form of the equation. The center of…

A: We know that the centre is the mid point of diameter.

Q: The temperature is T(x, y) = (x-1)² + y² degrees at any point (x, y) on a triangular metal plate…

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Q: Perform the following Operations on the Vectors= (-=-=-=-₁-3,₁-53₁ V² =<4₁-2,-17 W³² = (-4,04) R₁W=1…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: 6 5 4 3 2 -6 -5 -4 -3 -2 -1 lim h→0 -2 -3 -4 -5 2 3 4 y = g(x) is graphed above. Estimate the…

A: Given query is to find the value of the expression.

Q: Find Vectors and Perform Vector Operations in R³ Let à = i + 27 + 3k. Find ||a||.

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Q: x x +4 Give exact answers (not decimal approximations). Let f(x) = Find the values of where f'(x) =…

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

Q: Find an equation of the tangent line to the curve at the following point: y = (1-3x)¹0, (0, 1)

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Q: 2) Draw a graph of a continuous function that satisfies the following conditions. f'(4) > 0 f'(-6) <…

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Q: Draw - 7T in standard position. Answer in radians, the □ is already given. 4 -5 -4 -3 -2 -1 Clear…

A: We need to plot the angle :

Q: Use logarithmic differentiation to find the derivative of y = sin(5x)1+5x; y = 5*(1+5*x)*sin Your…

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Q: 3. a) For what values of p is the integral cl sin b) In th x(In x)P da convergent?

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The peak of Azmar's epic rainstorm of 2011 occurred between 4 pm, Jul 10, and 4 am, Jul 11. During…

A: Given: The rate of rainfall modeled by equation r(t)=240e2t360+e2t32 in inches per hour, where t=0…

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Q: Sketch the plane curve. r(t)=3ti-tj, [0, 3] y 2 Find its length over the given interval. 6 6 8 8 10…

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Q: Solve (ysinx + xycosx)dx + (xsinx + 1)dy = 0 Select one: O a xysinx+y=c O b. xsinx + y = cy O c.…

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Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 64°C, it…

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Q: Let f(x) = 0 for x < 0 and f(x) =x3 for x ≥ 0. Match the following. Here DNE means does not exist.…

A: Givenf(x)=0,x&lt;0f(x)=x3,x≥0We need to findf'(0),f''(0),f'''(0)

Q: How much do the volume of a sphere change with respect to its diameter at the instant, and the…

A: Recall: Volume of sphere, V=43πr3

Q: f(x) = z3 + 6 +6 3-4x-2

A: If y=u/v  then y'= (v×u'-u×v')/v2

Q: v-1 ● ● dv 32 = —— dt V l Solve the Linear Differential Equation (First Order) in a standard form.…

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Q: Find the values of v such that g'(v) = 0. (Enter your answers as a comma-separated list. If an…

A: Given function  g(v) = v3 - 48v + 8

Q: Given that f(x) = x¹²h(x) h(-1) = 2 h'(-1)=5

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Q: 28. (2A + B²)4

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Q: evaluate the iterated integral

A: Fubini’s Theorem If f(x,y) is continuous on R=[a,b]×[c,d] then, ∫∫R…

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Q: Find Vectors and Perform Vector Operations in R³ Vector 7=(2, 0, − 1) has initial point (-9, 7, 3).…

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