1 x² + 10x + 41

Q: Consider the function g(x) - (x- 2)-3. Sketch the graph of f(x) - x and the graph of the function g....

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Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ ...

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Q: (x – 2)2 +1 if x 2

A: We have to check continuity of function at x=0 and x=2

Q: Perform the operation(s) and write the result in standard form. (Simplify your answer completely.) (...

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Q: Suppose f(x) and f'(x) have the values shov 33 34 35 36 37 f(x) f'(x) 9 17 5 4 15 3 -4 -3 -5 -2 1 Le...

A: We will find the value of the function. 

Q: ng If C(t) = 50t e - 0.2t measures the concentration, in of a drug in a person's system t hours afte...

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Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 In (n ...

A: We have to find if the given series converges or diverges.

Q: substitution x = tan 0, then, the integral dx 1 + x2 transforms into tan 0 sec 0 d0 Select one:

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Q: 4. Verify. COSX 1+sinx = 2secx %D а. 1+sinx COSX b. cosx(1+ tanx)² = secx + 2sinx %3D

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Q: sinh (5) = %3D (A) 5+ v26 (B) In(5 + v24) (C) In(5 + v26) (D) 은 (E) 5

A: We can find the correct option from the answer as below.

Q: I ind the second derivative(y") of the following functions and simplify the final results. 1. y = x3...

A: Given y=tan-12+x1-2x To find y'':

Q: / V16 – x² dx, we use Select one: O x = 4 sec 0 O x = 4 sin 0 O x = 3 sin 0 O x = 3 tan 0 O None of ...

A: The integration of the integral is√(16-x2).

Q: Given Cost and Revenue functions C(q) ) = q° - 11q +57q + 5000 and R(q) = - 3q + 2600q, what costs s...

A: Given problem:- Given Cost and Revenue functions C(q) =q³-11q² +57q+ 5000 and R(q)= -3q² +2600q, wha...

Q: 3 cos(x)³ dx

A: We need to evaluate integral.

Q: x³dx 3. J (x4+4)* (x4+4)4|

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Q: Consider the following. w = xy2 + x?z + yz?, x = t2, y = 6t, z = 6 (a) Find dw/dt using the appropri...

A: Here, the given functions are: w=xy2+x2z+yz2, x=t2,y=6t,z=6

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: It can be solved using differentiation and quadratic formula.

Q: Use long division to divide and use the result to factor the dividend completely. (5x2- 3x-14) (x- 2...

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Q: How to solve the following ordinary differential equation (ODE) xy' – 2y + y² = x“.

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Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: According to our guidelines we can solve only three question. (1)y=3x2, y=0 and x=3Area=∫033x2dx    ...

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (2) — 5а — 4 %3D | 2. f (...

A: Recall: Derivative using Four step Rule:step 1 : Write f(x+h) and f(x).step 2 : Compute f(x+h)-f(x) ...

Q: 4. Consider the surface S parametrized by R(u, v) = (uv, sin u, cos v). Find an equation for %3D the...

A: The given curve S is parametrized by: R→(u,v)=uv,sin u,cos v Now, to find the equation of the tangen...

Q: Show whether each of the following series diverges at the end-point (s) of the interval of convergen...

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Q: Given revenue and cost functions R(q) = 90q – C - 0.4g and C(q) = 15q + 550, find the quantity when ...

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Q: Your are driving away from New York. Your distance​ (in miles) away from New York x hours after​ 1...

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Q: Let f (x, y) = e^x (sin(y) +1) and use the point P (0, (pi/2)) a. Find the gradient of f at P. b. F...

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Q: 1. Determine if if r2 /2r is differentiable at r 2.

A: First check for continuity then the derivative if both exist then function is differentiable. 

Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: To evaluate the integral 1 dx x2 – 16 2х — we use the partial fraction decomposition of the integran...

A: Explained below

Q: graph ard fined Domain and Range for yz sin'x-3 ーhm H-zx+ メー→ 3xー5 - greph amel fnd Df f Rf fir ye -...

A: Note:- These are multiple questions and according to our company guideline we can do maximum 3 quest...

Q: (9) Find the local maxima, local minima, and saddle points of z = f (r, y) = 1? + y + 2ry Identify r...

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Q: Question 1 Find the area bounded by the parabola x = y? and y = x-2. Answer in decimal form.

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Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

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Q: i- graph and Rined Demain and Range for yz sin'x- 3 ーhn Hi-z+ 3x3-5 2. - graph apel find Df f Rf for...

A: 1. y=sin2x-32. limx→∞4x3-2x2+13x3-53. y=-5sin2x Note:      Multiple questions are given, we are answ...

Q: 4y2 = 3. Maximize Q= xy, where x and y are positive numbers such that x+ Write the objective functio...

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Q: What Mclaurin Series this function represents: En=1(-1)n+1 =" = ¤ n 3 O a. In(1+x) b. cosx c. sinx O...

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Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

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Q: Replace ? with an expression that will make the equation valid. d. x* +5 = ex +5? dx The missing exp...

A: Consider the expression  ddxex4+5=ex4+5   _

Q: Solve this differential equation: dy 0.07y(1- dt 600 y(0) = 5

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Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

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Q: - graph and fined Demain and Range For ye sinx-3

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

Q: Ísin^2 (x) cos^2 (x) dx * O 1/8 x -1/32 sin4x + C O 1/8 x - 1/32 sinx + C O 1/8 -1/32 sinx + C O Non...

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Q: 1. Sand is being poured into a conical pile in such a way that the height is always one-third of the...

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Q: Using the integration bay parts formula with u = x- dv = cos x dx, the integral x cos x dx becomes

A: The given integral can be solved as follows:

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

A: We have to find the volume generated by rotation the curve about y axis.

Q: 5. y = xArctanx - In V1+x

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Q: The equation 2ydx + (3y– 2x)dy = 0 has an integrating factor equal to: O y O y^(-1) O y^(-2) O y^2

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Q: 4. Given xo < x, and x, define x - xo X1 - X0 and let P1(x) interpolate the function f(x) at the poi...

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Q: Using spherical coordinates to evaluate the triple integral zdV, where D= {(r,y, 2) E R : a s? +y + ...

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Q: Your are driving away from Tulsa. Your distance​ (in miles) away from Tulsa x hours after​ 12:00 n...

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