If u = x tar (a) (b) tan y², x = ди მs du Ət 3test, , y = In s t + 1 Find the following using chain rule.

Q: 105x2,5 x 2

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Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

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Q: Find the equation of the normal line to f(x) = 2 log₂ (x) when x = 1.

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Q: [ (sect (sect + tan) dt

A: The given integral is sect+tant.

Q: (3) Use the error estimate formula to determine how many partitioning intervals is needed to ensure…

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Q: Find all values of t, -π/2 < t < π/2, for which the tangent line to the graph of x(t) = 4t + 3 tant,…

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Q: Use guessing to find particular solutions to the following equations. c) y"-y-2y=4e.

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Q: d) e) V₁.0₁ U4 = 0₁.03= V3 Round your answer to 3 decimal places. Round your answer to 3 decimal…

A: v1→=108-4=10i^+8j^-4k^v2→=-8-6-7=-8i^-6j^-7k^v3→=-13-9=-i^+3j^-9k^v4→=-7101=-7i^+10j^+k^

Q: If f(x) = 4x²-3x+12 and g(x)=2x³+1, then the degree of the (fog)(x) is: a. 3 O b. 5 Oc. O d. 4 O e.…

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Q: Equations of Order One: Homogeneous Equations Instructions: Obtain the family of solution of the…

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Q: . Let f(x) = (x² − 3)ex. Find all intervals where f'(x) is positive and all intervals where it is…

A: Please see the below picture for detailed solution.

Q: (d) y = e ln(x² + 2) (e) y=e5³ (f) y = 2x¹e-z

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Q: Use the limit process to find the area of the region between the graph of the function and the…

A: We know that limit definition for definite integral is  ∫abf(y)dx=limn→∞ ∑i=1nf(yi)Δy Where, for…

Q: Identify which of the following is a solution to the given ODE: y' = (y-1)/2x a. y= (3/2 x)+1 b. y=…

A: We are asked to solve the differential equations

Q: Suppose f(x, y) = xe ²-8y². Answer the following. -8x²_ 1. Find the local maxima of f. List your…

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Q: Evaluate the radical expression and express the result in the form a + bi √√√√-64

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Q: The criterion ||x^(k+1) - x(k)|| ≤ TOL, With TOL a preset error tolerance level and ||M|| a norm of…

A: The criterion ||x^(k+1) - x(k)|| ≤ TOL, With TOL a preset error tolerance level and ||M|| a norm of…

Q: 7) Find the first-order derivatives of: (a) y = -7e (b) y=e-3r² (c) y = 2 (d) y = e ln(x² + 2) (e) y…

A: Use derivative

Q: Find the absolute maximum and minimum of the function ƒ(x, y) = x² − y² subject to the constraint x²…

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Q: 4. y = (arc csc 2x)

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Q: Which ordered pair is NOT in the inverse of the relation given by xy² O (0,-4) O (4,1) O (3,2) O…

A: See this solution in below.

Q: 0 ven ₁ = 10 9 -8 (:). -8 compute the cross products as listed. -5

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Q: 5 3. Consider the sequence defined by an (a) Is this sequence monotonic? Explain. (b) Is this…

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Q: 1. Find the volume of the solid under the surface f(x, y) = R= [0, 1] x [1, √2] on the xy-plane. x³y…

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

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Q: 5. y = cosh[tanh(sinh(x))] :

A: since you have posted multiple question i can do first question as per our company guidelines.…

Q: Find the direction N from P0(1,2) in which the function f=1−x^2−y^2 increases most rapidly and…

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Q: From the given graph of 9, state the numbers at which a is IS Continuous and explain why? मेर -2 1 2…

A: Given query is to find the points where graph is discontinuous.

Q: verify that the function y = C₁ x ² + C₂ x ³ is a the differential equation: solution to and 2 x ²y"…

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Q: x¹-8x+√√x7 ƒ dx

A: Here,   We have given an indefinite integral now we have to find out the value of that integral.

Q: Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter P(x) = x² +…

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Q: f(x): x² - 11x + 54 X-9

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Q: The surface area of a right-circular cone of radius r and height h is S = Tr√√² +h², and its volume…

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Q: 2) Form a differential equation by eliminating the arbitrary constant a and b from the equation y =…

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Q: cos(m + √y) + tanh¯¹ (sin² m) = ln 3 + y sech ( ² )

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Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A: Topic = Functions

Q: Find the volume of the solid generated by revolving the region about the line x = 2. The region…

A: volume=16.75 unit cube

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

A: Topic =  Derivative

Q: Find the nth derivative of √x (general formula) . No using double factorials and no integrals. Only…

A: To find the nth derivative of x (general formula) .

Q: Find f"(x) for f(x) A) D) -42 x7 -42 7 x6 = B) F) 294 x8 -294 C) - -7 F)-

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Q: Equations of Order One: Homogeneous Equations Instructions: Obtain the family of solution of the…

A: The Differential Equation is given as , x2+2xy-4y2dx-x2-8xy-4y2dy=0 Obtain the family of solution of…

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: The function is given as , gx=e-x4 , -2≤x≤1 Find the absolute maxima and minima values. Then graph…

Q: 0 KIT √1+tan² x dx|

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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: 2) Let the function g be defined by g(x) = 5x²-3x-2 for all real numbers x € (-∞, ∞). 2x²+3 This…

A: We need to find critical points.

Q: Given `y_(n+1) = 0.4 y_n + 6, \quad y_0 = 240 `y_17`

A: Given that yn+1=0.4yn+6, y0=240 We have to find the value of y17

Q: Find the (linear) equation of the tangent plane to the surface z=xexy at the point (7,0,7). Your…

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Q: The population of a town is approximated by the function 90000(1.02)', where t is the number of…

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Q: Use an appropriate substitution to solve the equation Observe that, if n = 0 or 1, the Bernoulli…

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Q: (coth²(x))

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