Find the critical point of the function f(x, y) —7- 5х — бх?+ 5у — 4у? This critical point is a: Select an answer v

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Q: 7. Find the volume of the solid obtained by rotating the region bounded by and r = 0 about the…

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Q: Use implicit differentiation to find the equation of the tangent line to the curve xy° + xy = 16 at…

A: The given curve xy3+xy = 16  . We have to find tangent line to the curve at the point 8, 1. Let the…

Q: Classify the statement as either true or false. lim 2 4 X4 Choose the correct answer below. true…

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Q: The Laplace transform of ,-2r ,3(1-t) dt e is Select one: 1 (s + 3)(s – 2) 1 (s + 3)(s + 2) 1 (s –…

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Q: 1 Evaluate the integral [(3r*) i + (9) j + (5t + 3) k] dt. 1 [(3r*) i + (9) j+ (5t + 3) k] dt = () I…

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Q: 4. Let z = x2+y, x 2st, y = s - t2, s = u", and t = usin w. Compute for

A: To find the partial derivatives using chain rule

Q: Find the plane determined by the intersecting lines.

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Q: of the indicated portion of the curve. K.

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: 2 2(3)' Find: i=1

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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: Given query is to find the derivative and equation of tangent line.

Q: QV Determine whether the given differential equations are bomogenous and, if so, solve them. a) xydy…

A: To find out that the given differential equations are homogeneous or not.  According to company…

Q: Find the Average Rate of Change of the following function ver the interval [1, 7] (That is, from t=…

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Q: (x)soɔ xp (x)us 19. Find

A: Given problem:-

Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y= 5-x^2 and the…

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Q: Write a in the form a = a-T+aNN at the given value of t without finding T and N. 3 (5 e'V5)i+…

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Q: 31. The vertex angle of an isosceles triangle is 40 20. Each of the legs measures 320 mm. Find the…

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Q: Evaluate the limit x2+ 19x-48 lim x²+9x+112 X- - 16 X a. 13 23 O b. 19 23 O C. 00 O d. None of…

A: The detailed solution is given below Thank you

Q: Find the area of the region between the curves y = æ and y = Va. Area between curves

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Q: Find the number(s) b such that the average value of f(x) = 6x2 42x + 70 %3D on the interval (0, 6 is…

A: Integration application

Q: Q2. Do as required 3. Evaluate: lim (-) X0 sinx

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Q: Determine if there are zero, one, or two triangles for the following: m ZA = 48° a = 10 m

A: Given:∠A=48°a=10b=12

Q: Find dy/dx of 6x² – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 4/3 On the circle x + y? = r²,…

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Q: 1. Evaluate: f(x) = S- dx %3D 3D 0 14x2

A: To find the integral of given function. Note : As per our company guidelines we are supposed to…

Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: 4. Find the Linearization of f (x) = sinx at a = 7. Provide your answer as L(x) =?

A: Here we have to find the linearization of f(x)

Q: Find the equation of the tangent line to the function f(x) = 4* at x = 3.

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Q: Use the table of values to estimate lim f(x). X-5 4.9999 5.0001 7.9999 8.0001 4.9 4.99 4.999 5.001…

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Q: Write the composed trigonometric function sin (arctan x)sin (arctan x) in terms of x. Explain your…

A: In this question we have to find the function in terms of x.

Q: (c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is…

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Q: Find the center and radius of the sphere. 2 2 5x + 5y + 5z + x +y +z = 16 Center = (OOD. radius = 4…

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Q: Sketch the integration region of the fallowing integration aud evaluate the integral JS (xy-2xy) dl…

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Q: 1. A line passes through the points A(2, 3) and B(-2, 1). Find a vector equation of the line. [x, y]…

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Q: 3. dt find F'(x) and F'(3) 1-2 17. Given F(x) =

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Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

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Q: Construct a table and find the indicated limit. Vx +2 If h(x)= x-8 then find lim h(x). x-8 Complete…

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Q: f'(x)= -+e²* +x°and f (1) = Find f(x) Given 5.

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Q: #3) Rewrite the integral 27 .2 p dr d0 0. in rectangular coordinates.

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Q: Refer to the figure below to find the limit lim f(x). X - 00 3.5- 2.5- 1.5- 1- 0.5- 2.

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Q: If 4x? + 5x + xy = 2 and y(2): – 12, find y'(2) by - implicit differentiation.

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Q: dy as a function of x. dx Write the following function in the form y = f(u) and u = g(x). Then find…

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

Q: Use algebra and the properties of limits as needed to find the given limit If the limit does not…

A: We need to evaluate limit.

Q: dx (9 – 4.x²)³/2 2,3/2

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Q: [9]. Suppose that a ball is dropped from an initial height of 300 feet, and subsequently bounces…

A: The initial fall h=300 The first rise & fall 2*.9× 300 The 2nd rise & fall…

Q: f'(x) =-+e²* +x²and f(1)=. Find f(x) Given

A: Here, given that: f'(x)=1x+e2x+x3⇒f(x)=∫1x+e2x+x3dx+C⇒f(x)=∫1xdx+∫e2xdx+∫x3dx+C⇒f(x)=ln…

Q: 2x2 - 9x-5 Let f(x) = Find the indicated quantities, if they exist. x +x- 30 (A) lim f(x) (B) lim…

A: We have to find the limit

Q: dy without first solving for y. dx e implicit differentiation to find ² + 3x + xy = 100 the given…

A: Topic:-  application of derivatives

Q: Maximum Area An animal shelter has 176 feet of fencing to enclose two adjacent rectangular playpen…

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Q: 3. Solve the initial value problem of y(-1) = 0 dx x+3

A: Since the student has posted multiple questions and does not mention any specific question, so we…