Find the slope of the tangent line to the curve - 42? – zy + y - 4 at the point (– 2, 2).

Q: x3 Evaluate f using substitution (3-2x)5

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Q: Find the equation which satisfies the separable differential equation dy – 15x dx with the initial…

A: Given dydx=-15xy    y(1)=-5To find solution:

Q: Match each series to the name used to describe it. a. geometric series b. p-series C. none of the…

A: We know that,  A geometric series is the sum of an infinite number of terms that have a constant…

Q: d²u A particular solution of the differential equation du - 2u=3e2t – 18e-tis dt? dt Select the…

A: Particular solution

Q: Consider the following function and closed interval. f(x) = x³ -, [-5, 2] Find f'(x). f'(x) = Find…

A: see below the answer

Q: V5 + ut du. f(t) =

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A: continously compounded formula:A =P er tA=final amountP=Principal amountr=ratet=time (in…

Q: Differentiate the following 1)2xsin-13x

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Q: 5x - 4 dx x3 + 4x2

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Q: 9. f(x) = (x² + 3x + 1)100 %3D

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Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

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Q: x1 x2 x3 x4 x5 x6

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Q: Complete the table for a savings account in which interest is compounded continuously. Amount after…

A: Given query is to find the time taken to double the investment and amount after 10 years.

Q: Describe the graph of the equation: r = 34 – Sj + (I + 30k. [Choose the correct answer) O The…

A: Given problem:-

Q: g(z) = r2 +1

A: answer is in next step

Q: Find parametric equations for the tadgent line to the curve with the given parametric equations at…

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Q: Find the limit. If the limit does not exist, type DNE. 2z – 2ry? = lim (1,9) → (-1,1)

A: We will find the limit.

Q: A pile of snow is plowed into the shape of a right cone. How many trucks with a capacity of 10 yd3…

A: Here we will find number of trucks required ,

Q: 16. (sec x) dy ev+sin x || dx

A: Given query is to find the solution of the differential equation.

Q: Sketch the region from the first quadrant, bounded by y = 2x2, x = 0, and x- 2y + 3 = 0, and find…

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Q: (-2æ)" En=1 (5n)! Find the series' radius and interval of convergence

A: The given power series,∑n=1∞-2xn5n!

Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1

Q: Given vectors ū and v , draw 2ü – v .

A: We have to draw given vector.

Q: the answer to Step 2 is very confusing.  Can you please elaborate how putting y=4 in the equation of…

A: Apologies for the inconvenience.   Given that where the two lines L1 and L2 intersect there y…

Q: Given the relation x² – xy + y³ = 11, determine the slope of the line tangent to the curve at (-1,…

A: Explanation of the answer is as follows

Q: Consider the functions below. f(z) = VT – I g(z) = r² +1 Find each of the following, if possible.…

A: Given query is to find indicated composite function.

Q: Compute the given integral. +C

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Q: V-5 – x + 5 if x 6 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

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Q: 2x + x² _ 4×-1 X-1

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Q: 4 E(-1)" sin n=1

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Q: The area of a square with sides of length s is given by A = s'. Find the rate of change of the area…

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Q: b) The sum of the first 15 terms of the sequences 7,-14, 28, –56, 112,..

A: We have to find out sum of 15 terms

Q: The growth rate of a fungus varies over the course of one day. You find that the size of the fungus…

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Q: The graph below is the function f(x) 5+ 4 3 -5 -4 -3 -2 -2 -4 -5+ Find the following. If no value…

A: Given problem :-

Q: Find the critical points and the interval on which the given function is increasing or decreasing,…

A: Critical points of a function: A critical point on the graph of a function y = f(x) is a point (c,…

Q: Given the function g(x) = 8x³ + 12² – 48x, find the first derivative, g' (x). g'(x) = Notice that…

A: We can solve this as follows:

Q: h(x) = In|x| %D Find the derivative of the function

A: Differentiate by using quotient rule

Q: Let y tan(3x + 6). Find the differential dy vwhen a 2 and da 0.4 Find the differential dy when z 2…

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Q: 5. The continuous and differentiable function f is given by f(x) = {mx + 2 for x s-1 lx² + k_forx…

A: Here we have to find the value of m+k

Q: (a) 12t – 5t? + 9 dt = +C. (b) u714 TA + 4.5ū du = +C. dx = 5x6 (c) +C.

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Q: cosx dy= (3x+2)

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Q: If I + Vy = 8 and y(4) = 36, find y' (4) by implicit differentiation.

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Follow the procedure given below.

Q: Example 3 Video Example ) Find dx. 2 - 3x2 Solution Let u = 2 - 3x2. Then du = dx, and x dx = du and…

A: Solve the following

Q: Sketch the graphs of f and g in the same coordinate plane. (Include two full periods.) f(x) = 2…

A: Given, f(x)= 2cos(2x) For, x=0=> y= 2cos(0)= 2  => y-intercept= (0,2) For, y=0=> 2cos(2x)=0…

Q: xdy+ydx=xcasx-dx-

A: According to the company rule we can answer only first question and rest can be reposted.

Q: /121 - s" 12t – 5t' +9 dt = +C. (b) u14 + 4.5 Jū du =| +C (c) 1 dx = 5x6 +C.

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Q: A manufacturer can produce 5130 cell phones when x dollars is spent on labor and y dollars is spent…

A: Given; 95x^3/4.y^1/4=5130

Q: Evaluate f x3 using substitution (3–2x)5

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