dy Use implicit differentiation to find for y' dx +2xy – x' = cos3y

Q: What is the slope of the tangent line to the curve a +y +¢y=3 at the point (1, 1)? O -1 O 1 cannot…

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Q: 3. S sin x In(cos x) dx

A: According to company rule, we can answer only first question.

Q: 1-2 For each of the following functions given by power series, find f'(x) and / f(x) dx. Do not find…

A: To differentiate and integrate the given power series.

Q: Consider an angle in standard position with measure - 1615°, in which quadrant does its terminal…

A: given angle θ=-1615°

Q: Evaluate the integral: 1. - 1 (1- 5x + x³ – 2x5 5х + x3 — 2x5 dx x2 2. S(y³ – 3,/y+ Vy) dy

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Q: Consider the following limt. lim - (x + 5) Find the Iimit L. (a) Find 8 > O such that |fx) - L| O…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use the alternative form of the dertvative to find the dertvative at x = c (If it exists). (If the…

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Q: Given the triangle 14 find the length of side a using the Law of Sines. Round your final answer 39°…

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: Find the critical points of the function x -8x2 О 0,2, -2 O 0, 1 О 1,2, 3 this function does not…

A: Solution: Let f(x) = x4 - 8x2 find where f'(x) is equal to zero or undefined  f'(x) = 4x3 - 16x

Q: Determine whether the vector field is conservative. If it is, find a potential function for the…

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Q: Find two positive numbers sattsfying the glven requirements. The sum of the first and twice the…

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Q: Find the sum: - 4+ – 5+ – 6 + ... + – 17 | Answer:

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Q: : The vectors a and b span R°. What values of m and n will make the following statement true: (2m +…

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Q: Calculate the following integral e-4 dx by using a substitution O - 0.25e^(-4x) + C O 0.25 e^(-4x) +…

A: Take substitution as -4x = t

Q: the product z1 z2 in polar form? Z1 = 3 cis z2 = 4 cis - cis (금) cis () 7x 2 cis ()

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Q: Find the derivative. 8) y =V4x +2 dy dxN4x + 2 =N4x + 2 A) dy В) dx 4 1 N4x + 2 dy C) dx dy D) dx 8…

A: SOLUTION-

Q: dy Use implicit differentiation to determine given the equation zy + cos(x) = e". dz dy y + sin(z dr…

A: The detailed solution is given below Thank you

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx b) y = -

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Q: d (32) Find the derivative: dx rcos(r) V1- t?dt

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Q: 9. A rectangle is formed in R² by the vectors OA = (1, 3) and OB = (6, –1). a) Calculate the…

A: a)Given OA=i+3jOB=6i-jSince OC is diagonal of parallelgram ABCDOC=OA+OBOC=i+3j+6i-jOC=7i+2j

Q: Find a parameterization for a line passing through the points (0, 0) and (2, 8) O x=t, y = 4t Ox=t,…

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Q: x (t) = 4 sin t ly (t) = 4 cos t %3D

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Q: Find the area bounded by: y=x³+ 1 and y=x+ 1.

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Q: wa?y+ xy² + tan (wx) Determine dyðwdx Your answer

A: solution

Q: fin the area bounded by y=x^3+1 and y=x+1

A: topic - area bounded by curves

Q: 1 3c+6+2 J +3z+2 Evaluate:

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Q: Determine the area of the given region. 1. Region between f(x) = x - 3x – 4 and the x-axis from x =-…

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Q: Solve fo x: 3csc(x) + 2=0

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Q: A population of 45 foxes in a wildlife preserve quadruples in size every 15 years. The function…

A: We have to calculate  value of y

Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

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Q: Using trig substitution I was able to rewrite the following integral as a new one. 81 + 22 What was…

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Q: Let f (x) =: 5 +e'+ tanx+ 12*+Vx. Find f (x). For the toolbar, preco

A: On solving this we will get

Q: Distinguish the Domain in A Function f of Two Variables from Range in A Function f of Two Variables

A: Suppose the function is: f:ℝ2→ℝ2

Q: Find dy/dx by Implicit differentlation. x = 7 In(y- 24), (0, 5) Ap dx Find the slope of the graph at…

A: implicit derivative dydx of equation x=7lny2-24

Q: d ) Find the derivative: dx rcos(z) V1 - t2dt

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Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

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Q: (a)5°C =? to Fahrenheit ​(b) 33°F=?to Celsius

A: Given linear equation y=5/9​(x−​32) Here x is in degrees and y is in Farhanheit

Q: Area under the curve x + y = 3 and the coordinate axis

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Q: In da V3+(In a) Evaluate: A. V5 - V2 B. V1+ e2 - 1+e C. V3+ ve D. V7– 2 E. NO correct choices.

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Q: dz Determine whether the integral converge (and evaluate to what it converged) or diverge: Jo 5-z A.…

A: The given integral is: I=∫05dx5-x If its value is finite then it converges to that value otherwise…

Q: The value of the triple integral /I| 2x dV where E is the region E inside both x2 + y + z? = 36 and…

A: See the solution in below

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n- lim Submit Answer

A: To find the value of: limn→∞∑  i=1n3+in2n=limn→∞2n∑  i=1n3+in=limn→∞2n3∑  i=1n1+1n∑  i=1ni...(2)

Q: 11.. Compute the area of the shaded region in the graph below. The region is the area of overlap…

A: Given two curves; r(theta)  = cos(3theta) and r(theta) = sin(3theta).

Q: Supply the missing integrand and the limits of integration sinx dy dx _dx| 1– y² dx (x=1) dx

A: This question can be solved using the concept of double integration.

Q: (31) Use Newton's Method to make the second approximation r2 to the solution of 2e = ex. Take x1 =…

A: Leibnitz Rule of differentiation: ddx∫α(x)β(x) f(x,t) dt  = ∫α(x)β(x) d(f(x,t))dx dt +dβxdx f(x,βx)…

Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

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Q: 7) Assume that the temperature of a person during an illness is given by: T(t) = t2 +1 5t + 98.6, in…

A: topic - derivative of a function

Q: Find the most general antiderivative. 4) (15+ e2t) dt. 16 e2t A) B)+ 202t + C e3t +C +C 27 e2t +C

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Q: 8 Given a function: f(x): (х-7)(х-1)

A: Given: limx→58x-5x-1