Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to four decimal places and enter the values in increasing order.

Q: DO NOT include spaces in between characters. * Find f' (-;) if f(x)= 3. Your answer

A: The objective is to find the derivative  of f at (-2/3).

Q: The slope of the tangent line to the curve y 2x at the point (- 5, - 250) is: The equation of this t...

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Q: The curve with equation y? = x³ + 12x? is called a Tschirnhausen cubic. Find the equation of the tan...

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Q: Let 1 f(z) = I - 3 Use the limit definition of the derivative to find (i) f'(– 1) = (ii) f'(2) = (ii...

A: Solution is written in below steps.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Activity 3! Ve the following problems. 1. A city is of a circular shape. The area of the city is gro...

A: 1.Area of circular city;A=π r2differentiating w.r.t. r;dAdt=2πr drdtdAdt=2  mi2yearat r=15 mi2=2π(15...

Q: Consider the following. f(x) = 3x – 6 cos(x), -2 sxs0 Use technology to estimate the absolute maximu...

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Q: i-125 + 2i213 + 3i-314 5i97 – 4i85

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Q: Calculate the integration from the following figure y 2 y=x-4 A

A: To evaluate the integral for the region shown  

Q: x2sinx Q4 : Find dy /dx Y = (1+x2)2V1+x

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Q: dy 3 1. a) Solve the differential equation dx if y = 3 when x = 1. xy

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Q: 1 1 The sequence that begins . could be 3 4 5 6' ... a Fibonacci sequence. an alternating sequence. ...

A: Given: 1/2,1/3,1/4,1/5,1/6....

Q: For a given number n, to create a mask for trailing zeros, we can use the expression: (n & – n) – 1

A: For a given number n, to create a mask for trailing zeros, we can use the expression: (n & - n) ...

Q: Evaluate the given integrals. 5. S(1 – cos 0) csc²0 d0 -

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Q: Solve the following initial value problem. ye) -2y"+ y' 4 +8x e*; y(0)= y'(0) = 0, y"(0)= 1 The solu...

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: A - Evaluate the following integral. e2x cos3x dx

A: Given I=∫e2x.cos3x dx

Q: y = e2x, y = e*, and x = 2

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Q: a. Use integrals to show that the circumference of the circle x2 + y? a? is 2na. %3D b. Find the len...

A: Solving question (a), 

Q: Find the area of the parallelogram that has u = 2i – 2j + k and v =j+3k as adjacent sides. %3D NOTE:...

A: We know that, the expression for the area of the parallelogram with adjacent sidesu→ & v→. A=u→×...

Q: Type your answer in the following order and format: a=0,b=4. DO NOT include spaces in between charac...

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Q: A=TTr Vr? th2. The radiu ight circular cone rand height h à gilen b A=TrVr? th? is in creasing at Th...

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Q: 21,500 %3D C. The cost to maintain inventory for the weather balloons is given by C(x) = where x is ...

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Q: y = 3x2 from x = 1 to x = 2.

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Solve the assigned situation to you and create an appropriate word problem on given values. Show the...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: Vectors with opposite directions have 180° angle between them.x and y components have opposite signs...

Q: Prove that lim (4x² – 25) = -9. X→2

A: We will prove this by definition of limit as follows 

Q: 2. The function f in |f(x)dx = F(x)+C is called A. integral B. derivative C. antiderivative D. integ...

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Q: DO NOT include the variable in your answer. * Given the graph of f'(x) below, what is the slope of t...

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Q: (a) Find the differential dy of y = e#/5. (b) Evaluate dy for a = 0, dx = .1. (a) dy = dx (b) dy =

A: Solved below

Q: (x'y – y+ 2) dy 1 II (x'y – y +2) dy dx 1

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: (2x2- 8х + 7 | 9x2 + 5x – 3' -4x3+6x2 – 15 Suppose f (x) x > 0 x – 6x3 Evaluate as lim f(x) X00

A: Let's find. 

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the i...

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Q: The management of a large chain of frozen yogurt stores in New England believes that t days after th...

A: Here, V =70000+70000 e-0.47t

Q: . lim,0+ (1 + 2x)In(2z)

A: Solution :1∞  formif limx→0fx=1 limx→0gx=∞if the form limx→0 fxgx then elimx→0 fx-1gx

Q: Let f(x) = 2x2 – 8x + 14 The slope of the tangent line to the graph of f(x) at the point (2, 6) is T...

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the ...

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)² , and passing thro...

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Q: If 69 + 5 f(x) + 2x²(f(x))³ = 0 and f(1) = -3, find f'(1). f'(1) =

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Q: Find the arc length of the parabola y² = x from (0,0) to (1, 1). (Note that y² = x is not the same t...

A: Length

Q: DO NOT include spaces in between characters. * 7 Given y=(3x +6)| 2x– Find the value y' at x = 4

A: Given:       y=3x2+62x-14 Differentiating on both sides with respect to x.      y'=ddx3x2+62x-14 App...

Q: I did the first number. Answer only number 2 and 3. Evaluate the following limits.

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Q: x2sinx Find dy /dx %3D (1+x2)2V1+x

A: Given: y=x2sinx1+x221+x   We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The...

Q: Let a = and b =. Show that there are scalars s and t so that sa + tb =. You might want to sketch the...

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Q: s² -a² Find the value of r' at s = 2 S* +a | 2a if r(s) = %3D

A: Find your answer below 

Q: Find an equation of the tangent line to the hyperbola defined by x² – xy – y? – x = –22 at the point...

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Q: (b) At what rate is the future value growing after 1 year (n = 1)? S'(1) =

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Q: DO NOT include spaces in between characters. * 1 Find f' (-) if f(x) 2 Your answer

A: Solution ) f(x)=1/x2 f(x)=x-2 Differentiate with respect to x  f'(x)=-2x-2-1 [d/dx(xn)=nxn-1 ] f'(x)...

Q: 1 Find the derivative of g(x) = Vx-1 Find f'(x) and f"(x) of f(x) = 11x³.

A: Here we have to find the derivatives of the given function.

Q: Find the volume of the solid enclosed by the paraboloid z = 4 + x2 + (y – 2)2 and the planes z = 1, ...

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