h(x)=x³ – 4x² – 9x+7, h(2)

Q: Let y(x)=1/x+3 Estimate the slope of the tangent line of y(x) at the point x=1.

A: Given query is to find the slope of the tangent.

Q: a?u 2. Solve 0, 0 < x < T, 0 <y<n, + и(0, у) %3D 1, и(п, у) — 1, 0 < y< n и(х,0) — 0, и(х, п) — 1, 0…

A: Solving

Q: Given D (4, 2) = 5, frz (4, 2) = -8, we know that (4,2) is a minimum we cannot tell maximum saddle…

A: Note :

Q: .3. cot°x csc*x dx

A: Find your answer below

Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

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Q: 6. Sxe -3* dx хе

A: We solve the above integral using integral by parts which is given in step 2 .

Q: A. Evaluate the following integrals. dx 1. 5+x² dx V4-9x² dx x V16x2-25 dx 4. x2+4x+13 2. 3.

A:

Q: ASSIGNEMNT #5 Determine if the function is continuous on the indicated close interval SVx +1 (5- x 0…

A: A function y=f(x) is said to be continuous at x=a iff, limx→a-f(x)=limx→a+f(x)

Q: Write the first six terms of the sequence given by a1 = 2; an+1= n+3 n+2 an: and then give…

A: We have to find the nth term

Q: H.W 1. Test the convergence and divergence of the foll convergent series. a) L b) 3"51-n

A:

Q: For the function f(x) = x ln(1+ x°), %3D a) What is the Maclaurin series for f and its interval of…

A: Given function is fx=xln1+x3Maclaurin Series of function fx…

Q: Find a b if Ja = 8, |b| = 9, and the angle between and b is radians.

A:

Q: Choose the point which shows the correct location for the polar coordinate (3, –-45°). 90° 2 WIN…

A: Option D

Q: Let a = (7, 10, 1) and b = (10, 3, 6) be vectors. Compute the cross product %3D ахЬ.

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim t→+∞ \ 4t2 + 5'4t (?, ?)

A:

Q: Consider the following. t = − 4?/3 (a) Find the reference number t for the value of t. t =    (b)…

A: We have to find the reference no t and terminal point determined by t.

Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

A:

Q: 4x 20. Write log2 assthe sum and/or difference of ² - 3x - 18 logarithms. Express powers as factors.

A: The given logarthim expression,       log24x3x2-3x-18

Q: Find f. f "(x) = 1//1- x?, () - = 2 f(x) =

A:

Q: 15. Evaluate the given integral, V4 – 9x² dx: arc sin () A. x V4-9x2 2 arc sin () x V4–9x² В. + c 2…

A: Giiven: To evaluate the integral∫4-9x2 dxFormula: ∫a2-x2 dx=x2a2-x2+a22 sin-1xa+c

Q: Find the volume of the solid that results when the region enclosed by 7x y = V1+ el4x' 0, x = 8, and…

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Q: First find f' and then find f. f"(x) = 10x³ + 2x? – 5x – 7, - f'(1) = –6, f(1) = -3. f'(x) = f(x) =

A:

Q: radius of a right circular cylinder is increasing at the rate of 10 in/sec , while the height is…

A: Given query is to find the rate of change of volume.

Q: The Pacific halibut fishery has been modeled by the differential equation dy dt where y(t) is the…

A: dydx =ky1-yM⇒y' =0.72y1-y9· 107⇒y=-90000000e0.72t+c11-e0.72t+c1

Q: Select the answer option that corresponds with polar coordinates (4,-120\degree). 90° 2 W/2 150° 45…

A: Option

Q: Write down a standard integral formula for the indefinite integral of tan x.

A: I hope you are asking for the derivation of standard integral for tan(x).

Q: Write the equation for a sphere centered at the point ( – 1, 7, 6) and the point ( – 7, 7, – 5) is…

A:

Q: Evaluate the following limits. If needed, enter 'INF' for ∞ and '-INF' for -x (a) (4 – x)(8+ 3x) lim…

A: topic - limits

Q: An Olympic athlete set a world record of 9.65 s in the 100-m dash. Did his speed ever exceed 37 km /…

A: Given : Time =9.65 s Distance =100m

Q: Suppose H (x) = V4x-8. Find two functions fand g such that (fog)(x) = H (x). Neither function can be…

A:

Q: Perform the operation and write the result in standard form. 3 4 1+i 1-i 7. +

A:

Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

A:

Q: A juice company wants to sell juice in 444-ml containers. How much packaging would be saved by using…

A:

Q: State sec(cosec÷) in terms of x. Hence solve the equation 1 sec(cos ec 1 2x

A:

Q: Find Ay for the given values of x1 and x2. 3x-7 :X= 2, Ax = 0.1 X-1

A:

Q: Let f''(x) = 36 sin(6x) and suppose f'(0) 6 and f(0) = 4. Find f(5) a(;) =

A:

Q: Find lim x→9+ x – 9 Enter I for o, -I for -o, and DNE if the limit does not exist Answer:

A: Given query is to find the Indicated limit.

Q: y 6 4 3 2 -4 4 5 -2 -1 -1- 12 3 Find the value of the indicated quantity if it exists. lim f(x) 1.…

A:

Q: Which integral has the largest value? a ed f (x) dx f (x) dx f (x) dx f (x) dx

A: We have to find out the largest area

Q: Let a (-2, –1,9) and b = (-8, 4, 3) be vectors. (A) Find the scalar projection of » onto a. Scalar…

A:

Q: ° Fis defined by f(x)%3D 2°(x + 4) on increasing (enter intervals in ascending order)? ion is…

A:

Q: 2y +1 e'y 1+ y? dy dy = t*y dy 4. dt 2. 3. %3D dt dt t

A: See the answer below

Q: Determine whether the sequences converge or converges, find the limit. diverge. If any of them a. 2…

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Q: Evaluate the limit. Leave results in exact form. V9 + 7r2 lim 11 + 3x

A: This question is based on limits of inf/inf form.

Q: 4. Calculate the area of the bounded region x= y+3 y=3 x= 1 1112 A. 52/3 (. 32/3 B. 8/3 D. 15/3

A:

Q: Following S sin(A) cos(B) dx = ; f sin(A + B) + sin(A – B), | what is the integral of f sin 5x cos…

A: We have to solve the following

Q: If V (t) is the amount of oil in a barrel being filled at time t, what physical quantity is…

A: Let's find.

Q: Y= 3xé

A: Given query is to find the derivative of the expression.

Q: 3. Two sides of a triangle are 5 and 10 inches, respectively. The angle between them is increasing…

A:

Q: Calculate the total area of the curve y=x' and the x-axis between x-2 and x=-2. O 8 sq units 11 sq…

A: The given bound region is: Now taking vertical elementary strip; So, the area of the strip from the…