Find the slope of the tangent line to the curve 3x? – 3xy – 2y = - 92 at the point (- 2, 4).

Q: A point P(x, y) moves along the graph of the equation y = x+ x2 + 1. The x-values are changing at…

A: To find , how fast are the y- value changing at the point Q(1,3).

Q: r= -2 i+tj+(t2-1) k

A:

Q: Given A = (-5, – 3) and B= (2,6), determine: a) AB b) AB

A: Given :A=(-5,-3)B=(2,6)

Q: Evaluate the following integral: n(x' dæ = 因团 +C (Note, an arbitrary constant of integration has…

A:

Q: 1.0 5

A: We have to find out limit

Q: To create a college fund, a parent makes a sequence of 18 yearly deposits of $1100 each in a savings…

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Q: Find the curvature of r(t) = (9t, t2, t) at the point (9, 1, 1). Need Help? Read It Watch It

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

A: Particular solution

Q: dy Using the product rule for the dx function y = e3" sin x is equal to

A:

Q: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Here we have the perimeter of the isosceles triangle = 38 m,  Let the equal sides of triangle = x…

Q: Determine whether E1(-1)" sin n3 is absolute convergent, conditionally convergent, or %=D1…

A: We have to find the series test

Q: When a drug is intravenously administered to a patient on a continuous basis, the amount A (in…

A:

Q: Зx2 — 5х — 2 lim x→2 In(x – 1) - is | (А) 7 (В) 8 (С) е2 (D) 0 O A O B ос O D

A: The detailed solution is given below Thank you

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: Use the Fundamental Theorem of Calculus to cvaluate (1 - da

A: Integrate using fundamental theorem of calculus.

Q: .3 29. dr 18 31. 1/2 sin (x/2 + 1) d

A:

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: 17. Use L'Hôpital's Rule to evaluate the limit lim(x)1/x). Write oo if the limit is infinite.

A: Given query is to find the value of the limit.

Q: A retail company estimates that if it spends a thousands of dollars on advertising during the year,…

A: Explanation of the answer is as follows

Q: Differentiate the following (choose two only )( 5 .. ) 1)2xsin-13x x+1 2)y = In Vx-2

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Q: 11. The position of a particle as it moves horizontally is described by the given equation S=sint -…

A: Here, the displacement function is given by: s=sin t-cos t, 0≤t≤2π Now, to find the maximum and…

Q: Given f(z, y, z) = V31 – 4y + 6z, find fz(x, y, 2) = fy(x, y, z) = f:(1, y, z) = %3D

A: Given :f(x,y,x)=3x-4y+6z

Q: 3) Verify that the hypotheses of Rolle's Theorem are satisfied on the given interval, and find all…

A: Solve the following

Q: dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

A: We will find the derivative.

Q: Compute the given integral. +C

A:

Q: Simplify the expression log; 175.

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Q: 9. The zeros of the polynomial function f(x) =x + 4x3-84x² - 176x + 640 form an arithmetic Find the…

A: Let's find.

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: Quesion IS The graph of f(x) is given below and F() = f(t) dt. -2 Find F(4). a) O 12 b) 06 c) O d) O…

A: Given problem:-

Q: Use the formula in a previous exercise to find the curvature. x = 3 + t2, y = 7 + t x(t) : %3D Need…

A:

Q: Suppose that F(x) = f(t) dt, where 14) = [" V3 + u° du. %3D Find F" (2). F" (2) =

A: We have to find the value of F"(2).

Q: Fundamental Theorem: Let f(x) = [ Jcos (In t)dt . Find the value of f'(æ). %3D

A:

Q: Determine whether n+1 converges or diverges. Give reasons for your answer.

A: Given: Here, an=n+1n2n. Notice that an=n+1n2n≈1n32. Now,                  limn→∞n+1n2n1n32=limn→∞…

Q: 2 32 |for 1st<3. length of the curve c(t) =| In t,-t"

A:

Q: Find the following sum, if it exists. 0.4 + 0.0080 +0.00016 + .. Select the correct choice below…

A:

Q: Given the functions f(x) = . x + 2 and g(x) = x², determine all values of x for which Ag(x)) =…

A:

Q: Given the following cost and revenue functions: C(x) = 10x+ 3 %3D R(x) = 40x– 0.6x? A. Find the…

A: Solve the following

Q: Given the graph of y = f (x) below, on the same set of axes draw a graph of y = f"(x). ( the concept…

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Q: Question 3 > Use part I of the Fundamental Theorem of Calculus to find the derivative of 14 dt f'(x)…

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Q: 23. cos (3z + 4) dz 25. sec2 (3x + 2) dx

A: A

Q: Write the complex number in standard form. (Simplify your answer completely.) 3 - -64

A: This question can be solved using the concept of complex numbers.

Q: 6х3-5х2 +9х+15 Зx+2

A:

Q: |Approximate the area between the curve below and the r-axis by computing Le on the interval [3,…

A:

Q: 12. Find all relative extrema, and sketch the graph, for the function: f(x) = 3x* – 4x -12x² %3D…

A: Given

Q: Find the limit. Enter DNE if the limit does not exist. 15zy lim (2,9) → (0,0) 22+ y?

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Q: f(x, y) = /32² + 3y fz(4, 5) = VT23 %3D

A:

Q: * This matrix is a 0 4 0 4 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A:

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: Find the interval on which the curve 1 y = dt 4 +t+ 4t2 is concave upward. Note: When using interval…

A: 4t2+t+4 =2t+142+6316y=∫1x12t+142+6316dtFormula:∫ 1a2+x2 dx =1a tan-1xay =1216316 tan-12t+1463161x…

Q: A rectangular garden is to be fenced in next to a garage so that fencing is needed on three sides…

A: Let the dimension of the rectangular garden be:                             Length=L and Width=W…