(5 + 4) + 6 = 5+ (4 + 6) illustrates the property of addition.

Q: The cost function for production of a commodity is C(x) = 386 + 29x - 0.07x2 + 0.0005x. (a) Find C'(...

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Q: 2t – 3t2 | (c) h(t) %3D a = 1 1 + t³

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Q: Find f(x) = x2+2 when f1(3)

A: Given that: f(x)=x2+2

Q: 5. (4x'y- 15х? - у )ӑx +x* +3у - х)dy-0

A: Differential Equation is              4x3y-15x2-ydx+x4+3y2-xdy      It is of the form Mdx+Ndy=0     ...

Q: Find the partial fraction decomposition of the function. Write answer in simplest form. x² +x+1 a) f...

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Q: B Given that V · W = 4, V x w = ,V] = 10and |W = 8. The exact numerical value value of 2V (3V-2W) is...

A: We need to find b,c,d,e.

Q: Variable Separable (6) (xy - 3y + x – 3)y' = xy + 2y – x - 2 (7) y' kM – ky; Provide the explicit so...

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

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Q: IT sin't cos*t d t

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Q: If a sequence c1, c2, C3, . .. has limit K then the sequence eº, e%, e,... has limit eK. Use this fa...

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Q: 4 Integrate: x2 + 4x + 8 + C

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Q: 2. Let f(x) ax+b cx+d° %3D (a) Show that if ƒ is one-to-one, then ad – bc # 0. (Ъ) Show that if ad –...

A: Given that: f(x)=ax+bcx+d

Q: Prove: 0 =- 1 Proof 1: sin x tan xdx = [ cos x 1 u = cos x dv = sin xdx sec x du = sec x tan xdx v=-...

A: Solution is given below:

Q: 1. Evaluate (b) (-2+ j6) - (3- j2) and show the results on an Argand diagram. (a) (3+ j2)+(5- j) and

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Q: Write the trigonometric expression as an algebraic expression in u. cot ( cos 'u) cot (cos 'u) = (Ty...

A: Inverse function

Q: 1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

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Q: 8. Find the exact value of each expression. 3V34 tan cos 34

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Q: Evaluate the following limit using L'Hospital's rule. :- e13z lim 5x2 – 11x + 8

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Q: csc xcot x sin(csc x )dx

A: ∫cscx cotx sin(cscx) dx

Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when stat...

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Q: Linear Differential Equations (19) + 3x?y =

A: First I have written the standard form of first order linear differential equation and then using th...

Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when stat...

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Q: Evaluate dy/dx at x = 2.5, correct to 3 significant figures, given y= (2x^2+3)/In 2x

A: Given ;

Q: 1. fcos*ysin ydy

A:  In this integral,  you can see cosy2 has exponent 4 and siny2 has exponent 1. To solve this integra...

Q: Suppose that you are given nonzero vectors a, b, and c in R. Using the dot and cross products, give ...

A: As per Bartley guidelines we are supposed to answer only 3subparts per question. This post contains ...

Q: Find a vector function that represents the curve of intersection of the paraboloid z=7x^2+5y^2 and t...

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Q: Let g (æ) = 7/x+ 5x . Use the limit definition of derivative to find the derivative of g(x) at 2. Up...

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Q: Evaluate the definite integral ग ( -मुआा) using Part 1 of the Fundamental Theorem of Calculus. Remem...

A: We have to find integral

Q: Determine the form of a particular solution of the differential equation y" + 9y = e*cos3x + x² + x³...

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: the given expression x^2 - 3x + 4 is equal to. SUBMIT YOUR SOLUTION O 2ty - 2)^2 + 2 O 4(2x - 1)^2 +...

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Q: 1. For the function g(t) whose graph is given below, state the value of each, if it exists. If it do...

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Q: 3. (10 — 6у + е 3а) da — -32 2dy = 0

A: The given differential equation is: 10-6y+e-3xdx-2 dy=0

Q: (c dx Since y=x?e-6x2 has a vertical asymptote at x=0, the integral is improper. Since y=x?e-6x2 has...

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Q: Eliminate the arbitrary constants b2 x2 - a2y? = a²b? %3D |

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Q: QUESTION 4 Given f(x) = 8x3 + 2x. Estimate the value of f(2.01) using differential.

A: Given that: f(x)=8x3+2x

Q: 1. Prove that lim (10z – 7) = 3 using epsilon-delta definition of a limit.

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Q: tes of any local and absolute extreme points and inflection points. Graph the function. -3 tes of th...

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Q: Write out the first five terms of the sequence with, 19 00 n determine whether the n=l' sequence con...

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Q: x=3, y=9, z=3 please show me how to convert to spherical coordinates

A: x=3, y=9, z=3 To convert to spherical coordinates  

Q: Suppose 16 1 4 a4 = 1 4 a1 a2 аз a5 1 6. 2 3 5 6. a) Find an explicit formula for an: b) Determine w...

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Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x...

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Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check you...

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Q: Evaluate the definite integral 2 (5e +8x)dr using Part 1 of the Fundamental Theorem of Calculus. Ent...

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Q: Find two positive numbers with product 361 and whose sum is a minimum. Enter your answers in increas...

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Q: 4. A metal is heated up to a temperature UI J000C. Il 1J UIUI will the temperature be 1000C? what is...

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Q: se the definition of the derivative to find the derivative of: f(t) = -4 – 2t. (t) =

A: Topic:- derivatives

Q: y = Arc tan Vx

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Q: dx Evaluate the given function : Vä(1+væ)

A: Here we have to evaluate the given integral.

Q: 4. A metal is heated up to a temperature of 5000C. it is then expose to a temperature of 380C. after...

A: (4) Given that , Initial temperature = 500°C T0=38°C After 2 minute temperature = 190°C Evaluate whe...