1) f(x)=ln(x^5 +x^2) f'(x)=   2) f(x) = 8sin(x^4e^3x)

Q: If 2x² + 2x + xy = 3 and y(3): = - - 7, find y' (3) by implicit differentiation.

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  and it is  also…

Q: 4. The table below gives the sales in millions of dollars for jogging and running shoes in the US…

A: We need to find quadratic model. As per Bartleby guidelines we can do 3 subparts. Please upload…

Q: 11 The sides of a cube are found to be 1 meter in length with a possible error of no more than 2 cm.…

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Q: Evaluate the integral where D is the region within the cone z = x² + y² S S S₂ ( x² + y² + 2² )³¹ dv…

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Q: 1) Consider an investment of $3000 at 2% compounded monthly. Find the amount in the account after 4…

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

Q: How to differentiate x/y + x^y =5

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Q: If a, b, c are the sides of a triangle and is the included angle between aand b, find and by…

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Q: Identify the modal (mode) sport from the survey results. Calculate the number of learners that chose…

A: All the subparts are solved below:

Q: Use spherical coordinates. Evaluate • SIS (x² + y²) dv, where E lies between the spheres x² + y² +…

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Q: Let f(x, y) = x² + 2y² and C be the curve a of the following: (a) [ f(x,y) ds (Setup but do NOT…

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Q: Find all values of x for which the tangent line of f(x) = A B С D -9 0,-9 -9,9 0,9 x²+18x+96 is…

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Q: Find the slope of the tangent line to the curve below at the point (1, 7). √3x +2y + √5xy =…

A: NOTE: we can answer up to 3 subparts only. . take derivative on both sides

Q: B. Prove the following: NO Differentiation 4. lim = : -10 x → 25 5. lim x 0 6 lim 25-x √x-5 sin8x…

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Q: Let f(x) = (sin x)³ + (cos x)³ Enter the total number of critical numbers on the interval [0, 2π].

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Q: The function f(x) is approximated near X = 4 by the third degree Taylor polynomial P3(x) = 2 - 5x -…

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Q: 1 Find the derivative of f(x) = cos(x) + f'(x) = + √/5.

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Q: A laptop computer was purchased for $2000. Each year since, the resale value has decreased by 27%.…

A: Given that , P=$2000r=27%=27100=0.27 The Number of years = t Resale Value = y find the relationship…

Q: - Find (a) for dr (b) fxºdx (c) [10e-de 10eª0dx

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…

Q: Rewrite the following equation in logarithmic form using the natural logarithm (ln). e¹ = c || help…

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Q: The graph of f(x) = -4(0.45) is given below (click on graph to enlarge): Let g(x) be the reflection…

A: Given the graph of fx = -40.45x is

Q: A company's marginal cost function is MC = 15x³/2 - 20x²/3 + 1, where x is the number of units, and…

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Q: Many doctors rely on the use of intravenous medication administration in order to achieve an…

A: NOTE: Refresh your page if you can't see any equations. . the concentration of the medication after…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an = 15 n=1…

A: By using the Ratio Test to  determine whether the series is convergentor divergent.∑n=1∞ n9n

Q: B. Use the difference table to predict the next term in the sequence. 1. 2, 6, 22, 56, 114, 202, ...…

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Q: Use the Laplace transform to solve the given initial-value problem. y' + y = f(t), y(0) = 0, where…

A: As we know that  L(au(t-c))=ase-cs, L(y')=sY(s)-y(0), L-1(1s)=1 and L-1(1s-a)=e-at,…

Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

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Q: Determine the different possibilities for the numbers of positive, negative, and nonreal complex…

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Q: dG dx If g=- which of the following is equal to d dx -tanG?

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Q: what about line and surface integrals??

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Q: Use linear approximation to estimate 1 √117 Give your answer as a single rational number.

A: Linear approximation of a function f(x) at a point x=b is giveb by f(x)=f(a)+f'(a)(x-a)

Q: For the function 1-cos.x 1-cosy + -=C, where C is a real constant, which of the following is equal…

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Q: What is the complete solution to the following system of equations? • f(x)=-6x+9 • g(x)=-8x²-9x+9…

A: To find solutions we will equate f(x) and g(x) and solve. That is f(x)=g(x)

Q: if x - 2 Calculate the following limits. Enter "DNE appropriate. Let f(x) lim 24-2- lim #4-2+ lim…

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Q: Use implicit differentiation to find the point in the first quadrant on the ellipse 8x² + 2y² =…

A: NOTE: Refresh your page if you can't see any equations. . first, we need to solve this equation for…

Q: (3) Evaluate 42 sin(y³) dy dx You may want to reverse the order of integration.

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Q: A company has $15,950 available per month for advertising. Newspaper ads cost $230 each and can't…

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Q: Find f (0) if f(w) 2- ew 1 + ew

A: Givenn function:- fw=2-ew1+ew

Q: Use the first derivative test to find the location of all local extrema in the interval (0, 2) for…

A: given f(x) = 2sin3x - 5 for maxima or minima step 1) find points where f'(x) = 0step 2) if f''(x)…

Q: (9) f(x² - & 8x + 3)dx (h) f(ax + + b)dx ff f(²x² (i) 7x + 4e -3dx

A: Here we have to find the integration using basic properties.   Part- g Now, ∫(x2-8x+3)dx=∫x2 dx-8 ∫x…

Q: If f(x) = x*e*, then ƒ"'(x) = A 12x²e* (в e²(x²+4x³) Ⓒe²(x²+4x³+ 12x²) De²(x²+ 8x³+ 12x²)

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Q: hod. +C

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Q: A. Orthogonal Trajectory: For the family, x² + 3y² = cy, find that member of the orthogonal…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: it ƒ(x) = — F(x), which of the following is equal to dx dx ○ f(x²)x*(1 + lnx) Oxf(x*) x*-1 ○…

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Q: Consider the curve y = 22/12 x³ on the interval from x = 1 to x = t (A) Find the function for the…

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Q: Given that f(x) = x³h(x) h(-1) = 4 h'(-1) = 7 Calculate f'(-1).

A: given data f(x) = x8h(x) h(-1) = 4 h'(-1) = 7 find f'(-1) = ? here we have to find the derivative of…

Q: (b) Use the gradient to find the directional derivative Du f(x, y) of f(x, y) = 9xy² + 4x² at P =…

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Q: Use spherical coordinates. •JJJ* Evaluate te+² y² + z² dv, where E is the portion of the unit ball…

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Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

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Q: B. Given the matrix 1 20 A 0-1 4 52 a Find the value of a for which the matrix is singular.

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Calculate the derivative using implicit differentiation: Ow dz' ow T³w+w³5 + wz² + 3yz = 0 ພ

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