. Find the equation of the curve whose slope is the inverse of the sum of the square root of five more than the abscissa, where its member passes through the y-intercept equal to 7.

Q: Find the area bounded by the line y = x+2 and parabola y = x².

A: We can solve this as follows:

Q: For each of the following equations, determine whether y is a function of x. 2 y = 5x - 14 Function…

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Q: 3. F(s) : = s² s4 +16

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Q: f(x) = x³ +7x² - 5x

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Q: Assume that f(x) = 5x + 2 and f is defined on [-1,5). Then f has an absolute maximum value at 5.…

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Q: X f(x) =< Q 14/15 7 x + 1 3 ;0≤x≤2 ;2≤ x ≤3 5 Tov Then what is the result of 3 (fx) dx 1

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Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x

A: We know that Critical points are points where the function is defined and its derivative is zero or…

Q: Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. -21 1…

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Q: Two cars started at the same point but at different times (of the same day) and at different speeds.…

A: Car A left at 9am travel to west direction at speed 30kph,  Therefore at 2pm car A travel total…

Q: 7) Find the absolute maximum and absolute minimum values of f(x, y) = 4x+6y - x² - y² on the set of…

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Q: 1. Evaluate the given integral Q. Q • S S (² (x - y) dx dy -

A: Evaluating the given integral

Q: 1. Is a function f(x)=√x differentiable at a) X = 1 b) X = 0 c) X = -1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The graph of y=f(x) is shown. Draw the graph of y = -f(x). 17 Ex X 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3√3 dx √3 x² √√x² +9 2

A:

Q: .Complete: The train .... at 12 PM-6 a- do not leave O b- does not leaves O c- leave O d-does not…

A: Solution: The train..........at 12 PM

Q: If zs² + yt²= 1 and 2²s+y³t = ry - 4, find 0x/0s, az/at, Əy/08, Əy/ot, at (x, y, s. t) = (1, -3,2,…

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Q: Setan2 sec² 2xdx Select one: O a. 0.4325 O b. 0.0287 O c. 0.6543 d. 0.0177

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Q: Suppose the functions f(x) and g(x) satisfy the following: f(2)= g(2) = g(0) = 4 3 2 f'(2) = g'(2) =…

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Q: This question is designed to be answered with a calculator. A kettle of hot water, initially at…

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Q: (1, -2) (a) The curve with equation y2 = x³ + 3x² is called the Tschirnhausen cubic. Find an…

A: We have to find the tangent equation and draw the graph.

Q: Solve the system of differential equations. = - X1 6x1 + 2x2 X2' - 2x1 - 10x2 2, x₂(0) - 22 = x1 (0)…

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Q: answer a and b. Use implicit differentiation to find an equation of the tangent line to the curve at…

A: This question is based on finding tangent line using implicit differentiation.

Q: 7. S√4x²+9dx

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Q: a. lim+ 2x 3x²

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Q: f sin x ln(cos x) dx

A: Our Aim is to evaluate the integral given below:-∫sin (x) ln cos x dx -(i)

Q: Evaluate the integral: fe* sinhxdx. Select one: O a. -+C 0b. ²+0 ++ C d+C

A: We can solve this as follows:

Q: 1 x² dx √4-x²

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Q: dy dx 11 - 4xy, when x = 0, y = 2

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Q: √81.4305 Using Linear Approximation, evaluate below. Answer must be in FRACTION.…

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Q: Find L(e³t cos 2t) Your answer with CamScanner

A: A detailed solution is given below.

Q: Fermat's theorem states that if f has a relative extremum and if f'(x) exists, then f'(c) = 0.…

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Q: 3. A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing when…

A: We know that volume of the balloon is V=43πr3                          (1) Given that Spherical…

Q: Find the area of the surface obtained by rotating the curve y=1+3x² from 0 to x = 9 about the…

A: Let's find area of surface obtained by given curve.

Q: The time required for an elevator to lift a weight varies directly with the weight and the distance…

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Q: 9. Find the family of the curve whose slope at any point is V√x + √x and also the member which…

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Q: A forest has a population of cougars and a population of chipmunks. Let a represent the number of…

A: Two diffrential equation given with respect to time t. Let's solve .

Q: Evaluate the integral. 34 1 8- dx

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Q: Find the area of the region bounded by the curve y=x^3-3x^2+3 and the x-axis.

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Q: 1.find the derivative of In[In(Inx)] 2. find the derivative of e(2x+Inx

A: Using chain rule of differentiation.

Q: From a certain instant, a right circular cylinder has a radius of 10 cm and altitude of 15 cm.  At…

A: This question is related to rate of change, we will solve it using given information.

Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

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Q: Electric charge is distributed over the disk x² + y² ≤ 11 so that the charge density at (x,y) is…

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Q: 1. Find the slope and the rate of change of the slope with respect to x when t = 90°. x = 2…

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Q: 6. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area…

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Q: Find the slope and the rate of change of the slope with respect to x when t = 90°. x = 2 cos (3t)-3…

A: This question can be solved using the concept of first and second order derivatives at t=90°

Q: Find the inverse of the coefficient matrix and use it to solve the system. = 6 2x₁ + x₂ X₁ X1 + 2x₂…

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Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: This is a problem related to area calculation using left hand points. Based on the reimann sum for…

Q: Solve the system of differential equations. x₁' = 3x1 - 1x₂ ¸x₂' = 1x₁ + 5x2 x₁ (0) = - 11, x₂(0) =…

A: This is a problem related to solving system of linear differential equation. Based on the general…

Q: HOW DID YOU GET THE ANSWER??

A: Let's find general equation of circle.

Q: Find the derivative of cos-¹(sin x)

A: