Find the given limit. lim x-5 lim X--5 (-x²+3x-7) (-x² + 3x-7)= (Simplify your answer.)

Q: 7 Mark for Review For the function f,f(0)=86, and for each increase in x by 1, the value of f(x)…

A: The answer is given below:

Q: (7) The shown graph below is the graph of function f. Note that the graph of f has local extrema at…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: vWrite a function g(x) that represents the exponential function f(x)=2x after a vertical stretch by…

A: Given the function f(x) and find g(x)

Q: Find the positive solution of the equation. 4x^((8)/(3))-1=23059203

A: 4x83-1=23059203

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1900 -0.005x² - 0.01y²,…

A: Give data : z=1900-0.005x2-0.01y2point (100,120,1706)

Q: Show all work and be at neat as possible. 1. A function f is defined as f(x) = 4x-5 x-8 a) State the…

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Q: Evaluate e⁹x 9x cos 8x dx.

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Q: Find the following limit or prove that it does not exist: (explain in detail your argument) 3x²y a)…

A: a) lim(x, y) -(0,0) 3x2y/(x3+y3) b) lim(x, y) -(0,0) 2sin(x2+y2)/(x2+y2) c) lim(x, y) -(0,0)…

Q: Find the volume formed by rotating the region enclosed by: x = 8.1y and y³ = x with y ≥ 0 about the…

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Q: 10. S x² + 8x - 3 x³ + 3x² 2 dx

A: To evaluate the following integral. ∫x2+8x-3x3+3x2

Q: Let f(x) = lim f(x) 3 2x + 12 if x > -4 Calculate the following limits. Enter "DNE" if the limit…

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Q: nd the values of a and b so that fis continuous and has a derivative at x = 1. = = ketch the graph…

A: We will find the required.

Q: Find equations of the tangent plane and the normal line to the given surface at the specified point.…

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Q: Find first partial derivatives of (a) f(x, y) = x² + 3y + x³y² (b) f(x, y) = 2x² + 3x³y + 2x³y² (c)…

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Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s)…

A: To find equation of tangent line.

Q: Consider the function f(x) = 6x-9 on the interval [-7, 4]. Find the absolute extrema for the…

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Q: Consider the following equation. f(x, y) = y^/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) = 1 =…

A: Here we have to find the gradient of a function.

Q: Find the derivative of the function and evaluate f'(x) at the given value of x. f(x) = (√x +…

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Q: What is the distance from the point (2, 3, 5) to the plane x + 2y + 2z = 7? INPUT HELP

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Q: T fu ar S r 1 2. A man has an annual (salary) income of $60,437 from his job. His daughter is 2…

A: Solutions given below

Q: Calculate y' in each of the following functions.

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Q: 5. (x5 + 3y)dx - xdy = 0

A: To solve the following differential equation. x5+3y dx-x dy=0

Q: Find the given limit. ²-2 4-x lim X--4

A: The given limit is limx→-4x2-24-x. We have to find the given limit.

Q: 2y Draw the contour line of the function f(x, y): = Т

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Q: y = |9x|,  y = x2 − 10 Find the area

A: This is a problem related to area calculation using integration. Please follow the procedure given…

Q: S. Find the values of x y = cos (x) 2+sin(x) at which tr horizonta intiee

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = −6 and g′(3) = 4.…

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Q: 2. Factorize the given matrix below using LU Factorization: Го [A] = 4 L2 2 31 6 7 -3 61

A: We can solve it by following method given below (rectangular part)

Q: By definition, a normal vector to a plane is a nonzero vector that is perpendicular to every vector…

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Q: If g(x) = 2 - x³, find g'(0) and use it to find an equation of the tangent line to the curve y = 2 –…

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Q: f(x) - √x² - 4, x ≤ 0 1 - 2x², x > 0 (b) f(0) (a) f(-2) (c) f(1)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A force of 15 N will stretch a rubber band 10 cm (0.10 m). Assuming that Hooke's law applies, how…

A: Solution: a) F= K(x) 15 = K(0.10 - 0) K =  15/0.10 => K = 150

Q: Solve the following differential equation using exact equation and DE with homogeneous coeffi-…

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Q: Consider the function. f(x) = (5x + 4)² Step 2 of 2: Determine the open intervals on which the…

A: We have given a quadratic function  fx=5x+42 Differentiating equation with respect to x…

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

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Q: Let f(x)=4x^3−2.5x+1. In this problem you will estimate f′(−3) by computing the average rate of…

A: Introduction:   The average rate of change function describes the average rate at which one quantity…

Q: (3xy - 4y - 1) dx + x(x - 2)dy = 0

A: Here we have to solve the differential equation.

Q: Find the scalar and vector projections of b onto a a = (-3, 4), b = (7,9) scalar projection of b…

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Q: Use the definition of derivative: dx = [ f(x+h)-f(x)) h lim h-0 to find f'(x) for f(x) = 2x² - 10.

A: Use the definition of derivative find f'x for fx=2x2-10.

Q: If f(x, y) = xy, find the gradient vector Vf(4, 5) and use it to find the tangent line to the level…

A: Question - If f(x, y) = xy, find the gradient vector gradf(4, 5) and use it to find the tangent line…

Q: 50,000 Р Suppose that the demand function for a product is given by D(p) = function of time given by…

A: As per guidelines we can solve maximum one question you can repost

Q: Solve the following problems completely. Show your graphical and analytical solutions. Express your…

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Q: 6. y' = x - 4xy.

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Q: 22. 24. x Vx² - 4 dx ) Jo 0 dx (4-x²)3/2

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Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: 3. Calculator active problem. Let f be the function given by f(x) = ₁/10 sin (-) dt for 1 < x < 1.…

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Q: Question 3 Integrate: 1₂ 2x + 11 x² +8x+17 dx + C

A: Here we have to calculate the given integral. We have ∫2x+11x2+8x+17dx

Q: f(x) = x + 8 x-2 Step 1 of 2: Find all values of x that correspond to horizontal tangent lines.…

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Q: Use the new variable t = e* to evaluate the limit. Enter the exact answer. 5e³x - 1 lim x→∞0 8e³x +…

A: Given problem:- limx→∞5e3x-18e3x+ex+1

Q: Identify the integrating factor for the differential equation + dy dx a. X secx b. x+secx c. x-secx…

A: Given differential equation:- dydx+1x+tanxy=2secx