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Q: r(x)=1/2x   Step 2 of 2 :  Find two points on the graph of this function, other than the origin, t...

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Q: The diameter and height of a right circular cylinder are measured to be 5 to 8 inches, respectively....

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Q: Use Newton's method to find a solution for the equation in the given interval. Find the solution to ...

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Q: x6 12 10- 12

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: For each differential equation in Problems 1-21, find the general solution by finding the homogeneou...

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

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Q: F(x, y) = (2x + y)i + (3y – x) j on a particle that travels on a plane along the straight lines from...

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Q: A/2 15 10 r=7+7 cos 0 -5 5 5 10 15 - 10 15

A: The graph of the curve is given by To evaluate: The area of the shaded region.

Q: Determine the particular solution. y"+ 12y' + 36y = 0; v(0) = 2. v' (0) = 0 O y - 2e óx - 12xe"dx Oy...

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Q: B. Solve the following problems: 1. Find the equation of the tangent line to the the curve y = 3x² –...

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Q: Determine the second derivative of the following and find the absolu extreme values for the function...

A: The given function is i) g(x)=1x-1x3 ; -2.5≤x≤-1 and 0.5≤x≤1.5  for g(x)

Q: The 6-ft wall shown here stands 26 ft from the building. Find the length of the shortest straight be...

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Q: Water is drained out of an inverted cone, having the dimensions depicted in the figure below. If the...

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Q: #1-4 Complete each statement. 1. The Integral Test: Suppose f is a, and function on [1, c0) and let ...

A: Recall: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on the ...

Q: -IT 2.

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Q: 2 6x 4 1+4x¯ dx

A:       ∫ 6x41+4x2dx=6·∫ x41+4x2dxLet x=tan u2.=6·∫132tan4usec3udu=6·132·∫-1+sec2u2sec3udu=6·132·∫sec3...

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A: Consider a vector v having its magnitude ||v|| and angle θ which makes from the positive x-axis, the...

Q: n Cos 3n (g) 2 1+ (1.2)" n=1 n ( 1 ) Σ (h) (1+2n²)" n=1 n 1. 3.5. .... (2n – 1) (i) - 5nn! n=1

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Q: SOLVE: 100е0.001t p(t) 9 + e0.001t Where t=50 PLEASE SHOW ALL WORKINGS

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Q: Find dy/dx for the function. x2 + 8x + y2 – 7y + 1 = 0 dy dx

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Q: For f(x) = x and g(x) = x-6, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(7)...

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Q: Is there a difference between substituting values of a variable and the limit of a function? From wh...

A: In this question we have to give differences between limit and value putting.

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: Sx5V4+ x³ dx

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Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact answe...

A: Solution of question is written in below steps.

Q: ( sin' x cos³x dx

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Q: Directions: Study the guided solution to the given function. Fill in the blanks with the appropriate...

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Q: A particle moves along the x-axis such that at any time t > 0 its position is x(t), its velocity is ...

A: Explanation of the answer is as follows

Q: 6. DETAILS BERRAPCALC7 3.6.025. 0/2 Submissions Used For the equation, find dy/dx evaluated at the g...

A: We will find the implicit differentiation at a point. 

Q: The velocity of a car is f(t) = 10t meters/second. Use a graph of f(t) to find the exact distance tr...

A: Given  f(t)=10t meter/second

Q: Consider the equation 27 sin (y) =2 x y. Use implicit differentiation to find an expression for y'. ...

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Q: Fexiy)= 2+3トなら-3A Ris Rectanghe ( (ろy)と1メ,-

A: This is a problem of maxima and minima. By using first derivative test we will find out critical poi...

Q: af at (r, s) = (1,0), where ds Use the Chain Rule to evaluate the partial derivative f(x, y) = In (x...

A: given f(x,y)=ln(xy) and x=3r+4s ,  y=2r+11s

Q: The variable point (t²,t+1) lies on a parabola. (i) Sketch the parabola for -2 <t<2.

A: See the answer below

Q: D. Differentiate the following. f(x) = 4x5 - 5x +x +8 g(x) = * --*+x' + v2 c. h(x) = V9x° + V7x7 + V...

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Q: Let f(x, y, z) = 4xy – z² , x = 2r cos(0), y = cos²(0), z = 5r. Use the Chain Rule to calculate the ...

A: Given : f(x,y,z)=4xy-z2, x=2rcos(theta) y=cos2(theta) ,z=5r.

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

A: Given two lines, x=2-t, y=3+3t, z=4+3tAnd x=5t, y=1-15t, z=4-15tThat isx-2-1=y-33=z-43=t            ...

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A: We will find the rate of change of sides of the cube. 

Q: Determine the particular solution. [xcos2 – y]dx + xdy = 0' ×=1, y=r/4 tan(y/x) + In(x) = -1 O cot(y...

A: Given the differential equation is x cos2yx-y dx + x dy = 0;  x=1, y=π4

Q: 3. Find the Laplace transform of the piecewise function 03

A: To find the laplace transform of the given function.  

Q: Evaluate the integral. 3* dx V3* + 4

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Q: For the following problem, determine if the sequence is increasing, decreasing, monotonic, bounded b...

A: Follow the procedure given below.

Q: Obtain the general solution. (xy + y²)y' = y² O v? = x(In\xl) + Cx O y- x(In\xl) + Cx O x² = y(In\yl...

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Q: The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = + 2x on the int...

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Q: Find dy/dx at the given point without first solving for y. xy2 = 343 at (7, 7) dy %3D dx

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

Q: Evaluate the definite integral. Use a graphing utility to verify your result. T/4 6 sec 0 tan 0 d0 T...

A: As per our guidelines, I can answer only one question. Since you have asked for multiple questions, ...

Q: Find if y = [In(e* + 1) + ešin #]³. Do not simplify.

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Q: Find the domain and range of the function h(x, y) = 3\/3y – 12x². %3D

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Q: (5) Given f(x) = x° + 2x-5x- 4, how many values of x does f(x) = 2, for 0 < x < 10? (A) None (B) One...

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Q: This question has two parts. You may open the second part after you submit correct answers to the fi...

A: Given query is to apply ratio test.