The equation for the tangent line to the curve x² + y = 4 when x = 6 is y = i X + i

Q: a lim x³²-x² X→ I X-1 b) lim X- UT 5 4-1 (2x-1) (3x²+2x-7)(x²³-9x)

A: SOLUTION-

Q: 2. Find the area of the shaded region. -1.0 -0.5 y 8 6 y=3e* 4 2 0.5 (1, 3e) y=3xet² 1.0 1.5 2.0 X

A: The bounded region is given in the graph, we have to find its area.

Q: Determine the cylinder's absolute max and absolute min given the function f(x, y) = 3x² + 2y² - 4y;…

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Q: If xy + 3x = -3 then find at the d²y dx² point (1,-6) in simplest form.

A: Given query is to find indicated derivative.

Q: 8. y = cos(x + y) = ysin(x)

A: derivative

Q: Derivative of 7x^2/3

A: We have given to find derivative of  7x23 Let,  y=7x23 Derivative is given as  dydx=ddx7x23 dydx=7…

Q: Find the value of a that makes the following function differentiable for all values of x. g(x) = ax…

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Q: K If f(x)=2x-4x+1, solve f'(x) = 0. X= (Simplify your answer. Round to two decimal places as…

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Q: The equation of the plane passing through the points (1,3, 2), (3, 1, 2) and (1, 1, 1) is: x-y-z=-4…

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Q: 1 2 2 x ² 24 V 1- cos x x² < 1 7|2

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Q: -4 y 8 5 (0, 3) a. x ≤ 5, y ≤ 6 b. x ≥ 5, y ≤ 6 c. x ≤ 5, y ≥ 6 d. x ≥ 5, y ≥ 6 -1 (0, 6) (5, 6)…

A: The answer is in step 2

Q: dy 5) Find the general solution of the non-homogenous differential equation : da x+y+4 5x + 5y +3

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Q: Good morning, I’m working on Quadratic functions. We are filling out a chart. I’m asking about…

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Q: f(x)=6x²-4x5+3x³+x+1. Which of the following statements is true for the polynomial function f? O a.…

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Q: 21. Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: If −x = 1 — y³ – xy² and it is known that dy = 3y² + 2xy' find all coordinate dx points on the curve…

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Q: To find the partial fraction decomposition of and solve for A and B. 4x² (x - 1)(x² + 3)' A x-1 + B…

A: Here we have to do partial fractions

Q: dr Let A be the area of a circle with radius r. If dt dA dt 2, find dA dt when r - 5.

A: Recall:Area of circle A=πr2

Q: which of the following is nor a solution equation y" +y = 0 differential equation a. y = 2 COSY b.…

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Q: The point (-12,4) is on the graph of y = f(x). Find the corresponding point on the graph of y = 9…

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Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

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Q: The dye dilution method is used to measure cardiac output with 2 mg of dye. The dye concentrations,…

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Q: 4. y = 4 arcsin () + x√4-x²

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Q: 1. g(x)=3 tan¹ 3x 2. y=xsin ¹2x+cot ¹ √ 3. f(x) = sin ¹

A: Let's find derivative of given function.

Q: Finding the partial derivatives of z by implicit differentiation X² + y² + z² =25 SOLVE THE PROBLEM…

A: Given, x2+y2+z2=25

Q: Using the Second Derivative Test, find the relative extrema and saddle point(s) of f(x, y) = 2x³ +…

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Q: Design a differential equation whose fundamental solutions are y₁ (t) = e-t/2 and y2(t) = e-2t.

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Q: Find all points (x,y) on the graph of y= X x-3 with tangent lines perpendicular to the line y =…

A: Given :Line : y=3x+8y=xx-3

Q: Evaluate each of the following integrals. 15. f (32³+ 8z - 12) dz +72¹ + 12x Ans. 3 In (x + 3) - Inz…

A: To evaluate the integral.

Q: If-y - x² = xy + 3 and it is known that dy dx find all coordinate points on the curve where x = 1…

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Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: As we know the expression for the area of the triangle is: A=12bh Where b is the base of the…

Q: a. b. 1. C. d. e. f. g. h. i. j. (2y³ +42) dx = (6-2xy²) dy y² = ex s = [C(x - C₂)]³ 9y+2 y -to (sec…

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Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a rate of 7 mi^2/hr.…

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Q: Find the volume of the solid obtained by rotating the region A in the figure about y = -3. y=x² +b B…

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Q: f(x) is graphed below. Find the limit: 10+ 9 8 70 6 5 lim A 10-9-8-7-6 -5 -4 -3 -2 -1 -1 h→0 H 2 1…

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Q: Write an equation for a function that has a graph with the given characteristics 8. The shape of y…

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Q: Find an equation for the plane that is tangent to the given surface at the given point. z= √y-x…

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Q: Solve the following differential equations. y' = y - xy3e-2x

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Q: When demonstrating that limx→2(2x+3)=7 with ε=0.2, δ-values suffices?

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Q: 2. Let f(x) be a continuous function on the interval [0, 1], and suppose 0 ≤ f(x) ≤ 1 for all x €…

A: option (a) proved easily and option (b) is wrong .

Q: Find the Cofactor Matrix of Matrix B= 3 7 -2 -11 5 8 6 9 -2 4 8 -2 12 20 6

A: We need to find cofactor.

Q: Given the equation below, find dy dx Y dy dx = 5x5 + 2x¹0y + y³ 5x4 (5+4x5y) 2x10 + 3y² Now, find…

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Q: For the equation given below, find 3 x³y² – 3 x²y 5 dy dx II HO dy dx M

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Q: dy Solve the following implicit partial derivative dx and select the correct answer:…

A: sol is given below..

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Here we have to differentiate the function.

Q: 26-y 2. (Section 16.2) Consider [[ye² da dy -3 ²

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Q: evious Problem Math134 03 BasicDerivatives: Problem 11 (1 point) Find an equation for the line…

A: I am attaching image so that you understand each and every step.

Q: Find f'(x) using the QUOTIENT RULE if f(x) = 6-2² 3+x² f'(x) = Find f'(4). f'(4) =

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Q: 3 2 2 Given Cost and Revenue functions C(q) =q³-8q² +57q+5000 and R(q) = -3q² +2600q, what revenue…

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