7. Solve the inequality g(r) = 9r + 9r-25r – 25x2 < 0 first algebraically and then checking your answer using the graph in question 5.

Q: The figure to the right shows d 1 - sin x and y 4 1 sin x + 4° || 1 sin x? Find values 4 Which graph...

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Q: Use the indicated substitution to evaluate the integral. 2x cos(x) dx , u = x' sin (x²) + C 2 sin (x...

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Q: x (2x+3) f(x) = (x² +1)*

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x? ...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: 3. Evaluate: e-x²+2x dx (Hint: let t = (x – 1)²) %3|

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Q: cos 2x + 2 sin 2 x = _______

A: This question can be solved by applying the formula of cos2x cos2x=cos2x-sin2x

Q: Activity x -1 a. Find lim f(x) if f(x)=. x+1 b. Complete the table of values. -2 -1.5 -1.1 -1.001 -1...

A: Limit  and function values 

Q: Write the equation of a conic given by 8x² + 8y² – 16x + 48y+ 10 =0 in standard form. A (x- 1)² + (y...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: True or false? The function f(x, y) is continuous at x2 + y? the origin. True O False

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Q: 3 da IV9z2-4 o+ (z등) o 음sec-l (금) + C ○ 을sin-1 (을피) + C 0 3sin-1 (을2) +C O 3 sec -1. (을띠) + C

A: This question is based on indefinite integral.

Q: sec x dx 2. Vcot x

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Q: Evaluate the double integral y sin(2³)dA where R is the triangular region with the three vertices (0...

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Q: ITEMS: Evaluate the following integrals. 1. / e* cos(2x) dx

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Q: .3 dx J Tx²+9 .2

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Q: Find the first and second derivatives of the function. f(x) = (x2 + 6)5 f'(x) %3D f"(x)

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Q: Find all second order partial derivatives for the following functions: a) z = xe-2y +x In(y) + y ln(...

A: Partial derivative  In partial differentiation take only one variable and treat other as constant .

Q: Question 6 Consider the function below: sin(x²+y) { (x, y) # (0,0) (x, y) = (0,0) f(æ, y) y-x Find t...

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Q: Find the inverse of the given matrix and verify if [A][A]-1 = [A]=1[A] = [1]: [25 5 [A] = |10 4 8 16...

A: Here, the given matrix is: A=25541051681222 First of all, find the inverse of the matrix.

Q: One leg of a right triangle is 6 inches longer than the other leg. How long should the shorter leg b...

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Q: Given: sing = -, e is a third quadrant angle, and tand = -, bis a second-quadrant angle; find sin(e+...

A: For the solution follow the next steps.

Q: Use sigma notation to write the Taylor series about I = 6 for the function. 1 Σ

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Q: f(x) = 5. (a). Use f'(x) = lim (e+h)-/@) to find f'(x). %3D %3D T+3 h→0 (b). Find an equation of the...

A: Given query is to find the derivative using definition and the equation of tangent at x =2.

Q: n hired at a new job selling jewelry, you are given two pay options: on A: Base salary of $15,000 a ...

A: Given query is to find the amount of sale so the option A will be batter 

Q: 3. Evaluate: -x²+2x dx (Hint: let t = (x – 1)²)

A: We know, ∫0∞e-x2dx=π2. ∫2e-x2πdx=erf(x) erf(1)= 0.84(approx)

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) =x° +x - 2x + 12 has a real zero...

A: The objective is to find the correct option.

Q: 2. Find the slope of the curve y? = 3x 1 at the point (-0). Draw the graph of !! the curve.

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Q: x3 , which Consider the plane region bounded by the curves y? intersects at point (0,0) and (1,1) Fi...

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Q: Consider the following function. f(x) = %3D Find its average rate of change over the interval [9, 16...

A: We have to find ∆y∆x , f'(9) and f'(16)  Given f(x)=1x

Q: Problem 13: Graph the function below. State the range and domain using (x+1 if -9 3 if -3<x<3 if g(x...

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Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos() -2 <ys ...

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Q: (v-3)2 (x+2)² = 1? What is the center of the hyperbola 4 A (-3,2) B (3, – 2) (© (-2,3) D (2, – 3)

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Q: sec®(x) dx S V cot(x V cot(x)

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Q: Assume that f(x) = x. Evaluate a. lim f(r). f. lim (f(r)) – f(x)). b. lim エ→4 () g. lim (f(r)* +(f(r...

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Q: What are the roots of the auxiliary equation corresponding to the DE y" + 3y" + 3y' + y = 0? Write t...

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Q: mine where the function is concave upward and where it is concave downward. (Enter your answers usin...

A: Given query is to find when function is concave up and when concave down.  

Q: Compute the first three non-zero terms of the Maclaurin Series for f(x) = ln(x2+1)

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Q: 12. DETAILS LARAPCALC10 2.5.036. Find an equation of the tangent line to the graph of f at the point...

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Q: Since January 1, 1960, the population of Slim Chance has been described by the formula P=37000(0.93)...

A: The objective is to find the rate at which the population changing on January 1, 1991.

Q: Assume that f(x) = x. Evaluate a. lim f(r). f. lim (f(r)) – f(x)). b. lim エ→4 () g. lim (f(r)* +(f(r...

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Q: Find y' by implicit differentiation 1. x³+y³=6xy 2. x²+y²=4

A: Question 1,Given,           x3+y3=6xyTo find : Find y' by implicit differentiation.

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: 8. Find the limit, if it exists, or show that it does not exist: 2х-у a) lim (x,y)→(1,2) 4x²-y2 ху+у...

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Q: Using the method of undetermined coefficients, write the form of the assumed particular solution for...

A: Given: y"+2y'+y=x2e-x Auxiliary equation are,  m2+2m+1=0 (m+1)2=0 m=-1,-1

Q: Simplify sin e cos e tan e 1 tan?0 sececote

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Q: Prove the following identities. cos( - ) sin x/2

A: NOTE: Refresh your page if you can't see any equations. .

Q: INTEGRAL CALCULUS ACTIVITY 3 GENERAL INSTRUCTIONS: 1. Find the Indefinite Integral 2. Show your solu...

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Q: Transform the polar equation ?r = 5 cos(0) to an equation in a and y.

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Q: Solve (x – y)dx + (3x + y)dy = 0 with the condition: y(2) = –1 O (2æ + 4y) – (2x + 4y) ln(2x + 4y) =...

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